From 80b280885a2fc701d547d90fd1b6ee60be26cbfc Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Thu, 28 Nov 2024 18:49:49 +0100 Subject: [PATCH 01/19] chore: added readme and docs --- README.md | 33 +++++++++++++++++++++++++++++++++ docs/TRAK___Projekty.pdf | Bin 0 -> 85508 bytes 2 files changed, 33 insertions(+) create mode 100644 README.md create mode 100644 docs/TRAK___Projekty.pdf diff --git a/README.md b/README.md new file mode 100644 index 00000000..139b2e3a --- /dev/null +++ b/README.md @@ -0,0 +1,33 @@ +# Porównanie metod renderingu + +W ramach projektu należy stworzyć program, który będzie umożliwiał rendering różnymi metodami. + +## Wymagania + +W programie powinny znaleźć się m.in.: +1. Obsługa mapy środowiska +2. Interfejs konsolowy/graficzny, który umożliwi: + - Wczytanie sceny (modele wraz z materiałami oraz ich właściwościami) z pliku + - Podanie algorytmu renderowania wraz z parametrami + - Wczytanie mapy środowiska +3. Implementacja algorytmu śledzenia promieni oraz mapowania fotonów +4. Statystyka na temat renderingu np. ilość wyszukiwanych przecięć, ilość wygenerowanych promieni cienia itd. + +## Kryteria oceny + +1. **Działanie programu** - realizacja funkcji oraz wytłumaczenie algorytmów stojących za implementacją w zrozumiały sposób (dotyczy projektów powiązanych z artykułem) (19 p.) +2. **Efekty wizualne** - prezentacja działania programu oraz kroku algorytmu w przyjemnie wizualny sposób (przygotowanie modeli, scenerii itd.) (2 p.) +3. **Jakość kodu** (3 p.) +4. **Prezentacja wykonana na wykładzie** (1 p.) + +## Terminy + +| Zadanie | Ostateczny termin | +|---------------------------------------------------------|----------------------------| +| ~~Deklaracja zespołów projektowych~~ | 10.11.2024 | +| ~~Przydział projektów~~ | 12.11.2024 | +| ~~Prezentacja projektów związanych z artykułami~~ | 26.11.2024 | +| ~~Prezentacja projektów związanych z artykułami~~ | 3.12.2024 | +| (!) Oddanie pierwszego etapu projektu (!) | 13.12.2024 | +| **Oddanie ostatecznej wersji programu** | **24.01.2025** | +| **Prezentacja projektów nie związanych z artykułami** | **28.01.2025** | \ No newline at end of file diff --git a/docs/TRAK___Projekty.pdf b/docs/TRAK___Projekty.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f6aaf826609463a4bae59da7e55db4f300334866 GIT binary patch literal 85508 zcmeFZWpEt9mNh75Su9zypvBD0%*@Qp7Be$5vt%(dGqWsaW@d)9-ysmJ<@8rl(H+5zwv1VLLXCu#&feI_+|be19zf6VXJP40%&qE8<{Y%7%~{Mu^7@b8R^p-8ynFvvKSiBnXnreGO`)*aM81~>a!X! z8#DZg7#pxMFd8t@u^AYdn9wt_Gnz0N@o4{D1qVlaV|{BF*GxkLqis_?13flqqUCu% zFhiWs7I5ToNaP9$K7U$du~5u_&?JD9gKyxf4nRK+jtHzBGxfXnH(y6Ox@cra!tc!p z4X`5663{?v4KT-l7x&*r{{Lf{{|jdS8~9%Y{uhD&Mc{vk0L(uK`Cob`qi=2O0HCL* z|0hYy{xr7XH*_?&wE@sG{TqwRIyqYXQAGy;`@b={oW7~C^go0{*}?eVuhRYv|LOEs zg#K{;Jm@f2&4{e;((Ln#uy`ng0mZziAgeBmIA7bUnR4 ze6Ck*tf#N1w>bjn0Rq=!VH8XBD+DI0=}gq84PcB#8cgf~OajJohjOX2GhB>^>c*<> z6SPk_d!dFnYbzi!AONzdemg;Iv4fu>Gr+ 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,gitignore | 162 ++++++++++++++++++++++++++++++++++++++++++ code/main.py | 87 +++++++++++++++++++++++ code/requirements.txt | 4 ++ 3 files changed, 253 insertions(+) create mode 100644 ,gitignore create mode 100644 code/main.py create mode 100644 code/requirements.txt diff --git a/,gitignore b/,gitignore new file mode 100644 index 00000000..efa407c3 --- /dev/null +++ b/,gitignore @@ -0,0 +1,162 @@ +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ +cover/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +.pybuilder/ +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + +# pyenv +# For a library or package, you might want to ignore these files since the code is +# intended to run in multiple environments; otherwise, check them in: +# .python-version + +# pipenv +# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. +# However, in case of collaboration, if having platform-specific dependencies or dependencies +# having no cross-platform support, pipenv may install dependencies that don't work, or not +# install all needed dependencies. +#Pipfile.lock + +# poetry +# Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control. +# This is especially recommended for binary packages to ensure reproducibility, and is more +# commonly ignored for libraries. +# https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control +#poetry.lock + +# pdm +# Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control. +#pdm.lock +# pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it +# in version control. +# https://pdm.fming.dev/latest/usage/project/#working-with-version-control +.pdm.toml +.pdm-python +.pdm-build/ + +# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm +__pypackages__/ + +# Celery stuff +celerybeat-schedule +celerybeat.pid + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Pyre type checker +.pyre/ + +# pytype static type analyzer +.pytype/ + +# Cython debug symbols +cython_debug/ + +# PyCharm +# JetBrains specific template is maintained in a separate JetBrains.gitignore that can +# be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore +# and can be added to the global gitignore or merged into this file. For a more nuclear +# option (not recommended) you can uncomment the following to ignore the entire idea folder. +#.idea/ \ No newline at end of file diff --git a/code/main.py b/code/main.py new file mode 100644 index 00000000..3bff121f --- /dev/null +++ b/code/main.py @@ -0,0 +1,87 @@ +from OpenGL.GL import * +from OpenGL.GLUT import * +from OpenGL.GL.shaders import compileProgram, compileShader +import numpy as np + +# Vertex shader +VERTEX_SHADER = """ +#version 330 +in vec3 position; +in vec3 color; +out vec3 vertexColor; +void main() { + gl_Position = vec4(position, 1.0); + vertexColor = color; +} +""" + +# Fragment shader +FRAGMENT_SHADER = """ +#version 330 +in vec3 vertexColor; +out vec4 fragColor; +void main() { + fragColor = vec4(vertexColor, 1.0); +} +""" + +# Define vertices and colors +vertices = np.array([ + # Positions # Colors + 0.0, 0.5, 0.0, 1.0, 0.0, 0.0, # Top (red) + -0.5, -0.5, 0.0, 0.0, 1.0, 0.0, # Bottom-left (green) + 0.5, -0.5, 0.0, 0.0, 0.0, 1.0 # Bottom-right (blue) +], dtype=np.float32) + +# Initialize OpenGL +def init(): + global shader, VAO + + # Compile shaders + shader = compileProgram( + compileShader(VERTEX_SHADER, GL_VERTEX_SHADER), + compileShader(FRAGMENT_SHADER, GL_FRAGMENT_SHADER) + ) + + # Generate VAO and VBO + VAO = glGenVertexArrays(1) + VBO = glGenBuffers(1) + + glBindVertexArray(VAO) + + glBindBuffer(GL_ARRAY_BUFFER, VBO) + glBufferData(GL_ARRAY_BUFFER, vertices.nbytes, vertices, GL_STATIC_DRAW) + + # Position attribute + glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 6 * vertices.itemsize, None) + glEnableVertexAttribArray(0) + + # Color attribute + glVertexAttribPointer(1, 3, GL_FLOAT, GL_FALSE, 6 * vertices.itemsize, ctypes.c_void_p(3 * vertices.itemsize)) + glEnableVertexAttribArray(1) + + glBindBuffer(GL_ARRAY_BUFFER, 0) + glBindVertexArray(0) + +# Render function +def display(): + glClear(GL_COLOR_BUFFER_BIT) + glUseProgram(shader) + glBindVertexArray(VAO) + glDrawArrays(GL_TRIANGLES, 0, 3) + glBindVertexArray(0) + glUseProgram(0) + glutSwapBuffers() + +# Main function +def main(): + glutInit() + glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB) + glutCreateWindow(b"PyOpenGL Triangle") + glutInitWindowSize(800, 600) + glutDisplayFunc(display) + init() + glutMainLoop() + +if __name__ == "__main__": + main() diff --git a/code/requirements.txt b/code/requirements.txt new file mode 100644 index 00000000..82f9807d --- /dev/null +++ b/code/requirements.txt @@ -0,0 +1,4 @@ +glfw +numpy +pyrr +PyOpenGL \ No newline at end of file From 732ffb38f1da2355c670acdcc6ba450d1069e3a3 Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Fri, 27 Dec 2024 11:36:24 +0100 Subject: [PATCH 03/19] feat: add primitive raytracing --- .python-version | 1 + code/main.py | 215 ++++++++++++++++++++++++++++-------------- code/requirements.txt | 3 +- 3 files changed, 146 insertions(+), 73 deletions(-) create mode 100644 .python-version diff --git a/.python-version b/.python-version new file mode 100644 index 00000000..2d4715b6 --- /dev/null +++ b/.python-version @@ -0,0 +1 @@ +3.11.11 diff --git a/code/main.py b/code/main.py index 3bff121f..3a45de39 100644 --- a/code/main.py +++ b/code/main.py @@ -1,87 +1,158 @@ -from OpenGL.GL import * -from OpenGL.GLUT import * -from OpenGL.GL.shaders import compileProgram, compileShader import numpy as np +import matplotlib.pyplot as plt -# Vertex shader -VERTEX_SHADER = """ -#version 330 -in vec3 position; -in vec3 color; -out vec3 vertexColor; -void main() { - gl_Position = vec4(position, 1.0); - vertexColor = color; -} -""" +w = 400 +h = 300 -# Fragment shader -FRAGMENT_SHADER = """ -#version 330 -in vec3 vertexColor; -out vec4 fragColor; -void main() { - fragColor = vec4(vertexColor, 1.0); -} -""" +def normalize(x): + x /= np.linalg.norm(x) + return x -# Define vertices and colors -vertices = np.array([ - # Positions # Colors - 0.0, 0.5, 0.0, 1.0, 0.0, 0.0, # Top (red) - -0.5, -0.5, 0.0, 0.0, 1.0, 0.0, # Bottom-left (green) - 0.5, -0.5, 0.0, 0.0, 0.0, 1.0 # Bottom-right (blue) -], dtype=np.float32) +def intersect_plane(O, D, P, N): + # Return the distance from O to the intersection of the ray (O, D) with the + # plane (P, N), or +inf if there is no intersection. + # O and P are 3D points, D and N (normal) are normalized vectors. + denom = np.dot(D, N) + if np.abs(denom) < 1e-6: + return np.inf + d = np.dot(P - O, N) / denom + if d < 0: + return np.inf + return d -# Initialize OpenGL -def init(): - global shader, VAO +def intersect_sphere(O, D, S, R): + # Return the distance from O to the intersection of the ray (O, D) with the + # sphere (S, R), or +inf if there is no intersection. + # O and S are 3D points, D (direction) is a normalized vector, R is a scalar. + a = np.dot(D, D) + OS = O - S + b = 2 * np.dot(D, OS) + c = np.dot(OS, OS) - R * R + disc = b * b - 4 * a * c + if disc > 0: + distSqrt = np.sqrt(disc) + q = (-b - distSqrt) / 2.0 if b < 0 else (-b + distSqrt) / 2.0 + t0 = q / a + t1 = c / q + t0, t1 = min(t0, t1), max(t0, t1) + if t1 >= 0: + return t1 if t0 < 0 else t0 + return np.inf - # Compile shaders - shader = compileProgram( - compileShader(VERTEX_SHADER, GL_VERTEX_SHADER), - compileShader(FRAGMENT_SHADER, GL_FRAGMENT_SHADER) - ) +def intersect(O, D, obj): + if obj['type'] == 'plane': + return intersect_plane(O, D, obj['position'], obj['normal']) + elif obj['type'] == 'sphere': + return intersect_sphere(O, D, obj['position'], obj['radius']) - # Generate VAO and VBO - VAO = glGenVertexArrays(1) - VBO = glGenBuffers(1) +def get_normal(obj, M): + # Find normal. + if obj['type'] == 'sphere': + N = normalize(M - obj['position']) + elif obj['type'] == 'plane': + N = obj['normal'] + return N + +def get_color(obj, M): + color = obj['color'] + if not hasattr(color, '__len__'): + color = color(M) + return color - glBindVertexArray(VAO) +def trace_ray(rayO, rayD): + # Find first point of intersection with the scene. + t = np.inf + for i, obj in enumerate(scene): + t_obj = intersect(rayO, rayD, obj) + if t_obj < t: + t, obj_idx = t_obj, i + # Return None if the ray does not intersect any object. + if t == np.inf: + return + # Find the object. + obj = scene[obj_idx] + # Find the point of intersection on the object. + M = rayO + rayD * t + # Find properties of the object. + N = get_normal(obj, M) + color = get_color(obj, M) + toL = normalize(L - M) + toO = normalize(O - M) + # Shadow: find if the point is shadowed or not. + l = [intersect(M + N * .0001, toL, obj_sh) + for k, obj_sh in enumerate(scene) if k != obj_idx] + if l and min(l) < np.inf: + return + # Start computing the color. + col_ray = ambient + # Lambert shading (diffuse). + col_ray += obj.get('diffuse_c', diffuse_c) * max(np.dot(N, toL), 0) * color + # Blinn-Phong shading (specular). + col_ray += obj.get('specular_c', specular_c) * max(np.dot(N, normalize(toL + toO)), 0) ** specular_k * color_light + return obj, M, N, col_ray - glBindBuffer(GL_ARRAY_BUFFER, VBO) - glBufferData(GL_ARRAY_BUFFER, vertices.nbytes, vertices, GL_STATIC_DRAW) +def add_sphere(position, radius, color): + return dict(type='sphere', position=np.array(position), + radius=np.array(radius), color=np.array(color), reflection=.5) + +def add_plane(position, normal): + return dict(type='plane', position=np.array(position), + normal=np.array(normal), + color=lambda M: (color_plane0 + if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) else color_plane1), + diffuse_c=.75, specular_c=.5, reflection=.25) + +# List of objects. +color_plane0 = 1. * np.ones(3) +color_plane1 = 0. * np.ones(3) +scene = [add_sphere([.75, .1, 1.], .6, [1., 0., 0.]), + add_sphere([-.75, .1, 2.25], .6, [0., 1., 0.]), + add_sphere([-2.75, .1, 3.5], .6, [0., 0., 1.]), + add_plane([0., -.5, 0.], [0., 1., 0.]), + ] - # Position attribute - glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 6 * vertices.itemsize, None) - glEnableVertexAttribArray(0) +# Light position and color. +L = np.array([5., 5., -10.]) +color_light = np.ones(3) - # Color attribute - glVertexAttribPointer(1, 3, GL_FLOAT, GL_FALSE, 6 * vertices.itemsize, ctypes.c_void_p(3 * vertices.itemsize)) - glEnableVertexAttribArray(1) +# Default light and material parameters. +ambient = .05 +diffuse_c = 1. +specular_c = 1. +specular_k = 50 - glBindBuffer(GL_ARRAY_BUFFER, 0) - glBindVertexArray(0) +depth_max = 5 # Maximum number of light reflections. +col = np.zeros(3) # Current color. +O = np.array([0., 0.35, -1.]) # Camera. +Q = np.array([0., 0., 0.]) # Camera pointing to. +img = np.zeros((h, w, 3)) -# Render function -def display(): - glClear(GL_COLOR_BUFFER_BIT) - glUseProgram(shader) - glBindVertexArray(VAO) - glDrawArrays(GL_TRIANGLES, 0, 3) - glBindVertexArray(0) - glUseProgram(0) - glutSwapBuffers() +r = float(w) / h +# Screen coordinates: x0, y0, x1, y1. +S = (-1., -1. / r + .25, 1., 1. / r + .25) -# Main function -def main(): - glutInit() - glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB) - glutCreateWindow(b"PyOpenGL Triangle") - glutInitWindowSize(800, 600) - glutDisplayFunc(display) - init() - glutMainLoop() +# Loop through all pixels. +for i, x in enumerate(np.linspace(S[0], S[2], w)): + if i % 10 == 0: + print(i / float(w) * 100, "%") + for j, y in enumerate(np.linspace(S[1], S[3], h)): + col[:] = 0 + Q[:2] = (x, y) + D = normalize(Q - O) + depth = 0 + rayO, rayD = O, D + reflection = 1. + # Loop through initial and secondary rays. + while depth < depth_max: + traced = trace_ray(rayO, rayD) + if not traced: + break + obj, M, N, col_ray = traced + # Reflection: create a new ray. + rayO, rayD = M + N * .0001, normalize(rayD - 2 * np.dot(rayD, N) * N) + depth += 1 + col += reflection * col_ray + reflection *= obj.get('reflection', 1.) + img[h - j - 1, i, :] = np.clip(col, 0, 1) -if __name__ == "__main__": - main() +plt.imsave('fig.png', img) \ No newline at end of file diff --git a/code/requirements.txt b/code/requirements.txt index 82f9807d..ac121f2d 100644 --- a/code/requirements.txt +++ b/code/requirements.txt @@ -1,4 +1,5 @@ glfw numpy pyrr -PyOpenGL \ No newline at end of file +PyOpenGL +matplotlib \ No newline at end of file From 8ab55ab25219d6e6d9e0b43067be2c0b1029f433 Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Fri, 27 Dec 2024 12:08:09 +0100 Subject: [PATCH 04/19] feat: wip flake formatting --- .vscode/extensions.json | 7 + code/main.py | 283 ++++++++++++++++++++++++++++++---------- 2 files changed, 221 insertions(+), 69 deletions(-) create mode 100644 .vscode/extensions.json diff --git a/.vscode/extensions.json b/.vscode/extensions.json new file mode 100644 index 00000000..88c93d43 --- /dev/null +++ b/.vscode/extensions.json @@ -0,0 +1,7 @@ +{ + "recommendations": [ + "ms-python.black-formatter", + "ms-python.autopep8", + "ms-python.pylint" + ] +} \ No newline at end of file diff --git a/code/main.py b/code/main.py index 3a45de39..57efe9d5 100644 --- a/code/main.py +++ b/code/main.py @@ -1,37 +1,83 @@ +""" Renders an image using raytracing """ import numpy as np import matplotlib.pyplot as plt -w = 400 -h = 300 +IMAGE_WIDTH = 400 +IMAGE_HEIGHT = 300 + def normalize(x): + """ + Normalize a vector. + + Parameters: + x (numpy.ndarray): The input vector to be normalized. + + Returns: + numpy.ndarray: The normalized vector. + """ x /= np.linalg.norm(x) return x -def intersect_plane(O, D, P, N): - # Return the distance from O to the intersection of the ray (O, D) with the - # plane (P, N), or +inf if there is no intersection. - # O and P are 3D points, D and N (normal) are normalized vectors. - denom = np.dot(D, N) + +def intersect_plane(ray_origin, ray_direction, plane_point, plane_normal): + """ + Calculate the intersection of a ray with a plane. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): A normalized 3D vector representing the + direction of the ray. + plane_point (numpy.ndarray): A 3D point representing a point on the plane. + plane_normal (numpy.ndarray): A normalized 3D vector representing + the normal of the plane. + + Returns: + float: The distance from the origin ray_origin to the intersection + point with the plane. + Returns +inf if there is no intersection or if the intersection is + behind the origin. + """ + denom = np.dot(ray_direction, plane_normal) if np.abs(denom) < 1e-6: return np.inf - d = np.dot(P - O, N) / denom + d = np.dot(plane_point - ray_origin, plane_normal) / denom if d < 0: return np.inf return d -def intersect_sphere(O, D, S, R): - # Return the distance from O to the intersection of the ray (O, D) with the - # sphere (S, R), or +inf if there is no intersection. - # O and S are 3D points, D (direction) is a normalized vector, R is a scalar. - a = np.dot(D, D) - OS = O - S - b = 2 * np.dot(D, OS) - c = np.dot(OS, OS) - R * R + +def intersect_sphere(ray_origin, ray_direction, sphere_center, sphere_radius): + """ + Calculate the intersection of a ray with a sphere. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): A normalized 3D vector representing the + direction of the ray. + sphere_center (numpy.ndarray): A 3D point representing + the center of the sphere. + sphere_radius (float): The radius of the sphere. + + Returns: + float: The distance from the origin ray_origin to the intersection + point with the sphere. + Returns +inf if there is no intersection or if the intersection is + behind the origin. + """ + a = np.dot(ray_direction, ray_direction) + origin_to_center = ray_origin - sphere_center + b = 2 * np.dot(ray_direction, origin_to_center) + radius_squared = sphere_radius * sphere_radius + c = np.dot(origin_to_center, origin_to_center) - radius_squared disc = b * b - 4 * a * c if disc > 0: - distSqrt = np.sqrt(disc) - q = (-b - distSqrt) / 2.0 if b < 0 else (-b + distSqrt) / 2.0 + distance_squared = np.sqrt(disc) + # q is used to find the roots of the quadratic equation + if b < 0: + q = (-b - distance_squared) / 2.0 + else: + q = (-b + distance_squared) / 2.0 t0 = q / a t1 = c / q t0, t1 = min(t0, t1), max(t0, t1) @@ -39,69 +85,167 @@ def intersect_sphere(O, D, S, R): return t1 if t0 < 0 else t0 return np.inf -def intersect(O, D, obj): - if obj['type'] == 'plane': - return intersect_plane(O, D, obj['position'], obj['normal']) - elif obj['type'] == 'sphere': - return intersect_sphere(O, D, obj['position'], obj['radius']) -def get_normal(obj, M): - # Find normal. - if obj['type'] == 'sphere': - N = normalize(M - obj['position']) - elif obj['type'] == 'plane': - N = obj['normal'] - return N - -def get_color(obj, M): - color = obj['color'] +def intersect(ray_origin, ray_direction, object_): + """ + Calculate the intersection of a ray with an object. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): A normalized 3D vector representing the + direction of the ray. + obj (dict): A dictionary representing the object with keys + 'type', 'position', 'normal' (for planes), and 'radius' (for spheres). + + Returns: + float: The distance from the origin ray_origin to the intersection + point with the object. + Returns +inf if there is no intersection or if the intersection is + behind the origin. + """ + if object_['type'] == 'plane': + return intersect_plane(ray_origin, ray_direction, + object_['position'], object_['normal']) + elif object_['type'] == 'sphere': + return intersect_sphere(ray_origin, ray_direction, + object_['position'], object_['radius']) + + +def get_normal(object_, intersection_point): + """ + Calculate the normal at the intersection point on the object. + + Parameters: + obj (dict): A dictionary representing the object with keys + 'type' and 'position'. + intersection_point (numpy.ndarray): A 3D point representing the + intersection point on the object. + + Returns: + numpy.ndarray: The normal vector at the intersection point. + """ + if object_['type'] == 'sphere': + normal = normalize(intersection_point - object_['position']) + elif object_['type'] == 'plane': + normal = object_['normal'] + else: + raise ValueError(f"Unknown object type: {object_['type']}") + return normal + + +def get_color(object_, intersection_point): + """ + Get the color of the object at the intersection point. + + Parameters: + object_ (dict): A dictionary representing the object with a key 'color'. + intersection_point (numpy.ndarray): A 3D point representing the + intersection point on the object. + + Returns: + numpy.ndarray: The color of the object at the intersection point. + """ + color = object_['color'] if not hasattr(color, '__len__'): - color = color(M) + color = color(intersection_point) return color -def trace_ray(rayO, rayD): + +def trace_ray(ray_origin, ray_direction): + """ + Trace a ray and find the color at the intersection point. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): + A normalized 3D vector representing the direction of the ray. + + Returns: + tuple: A tuple containing the object, + intersection point, normal at the intersection, + and the color at the intersection point. + Returns None if there is no intersection. + """ # Find first point of intersection with the scene. t = np.inf - for i, obj in enumerate(scene): - t_obj = intersect(rayO, rayD, obj) + obj_idx = -1 + for index, object_ in enumerate(scene): + t_obj = intersect(ray_origin, ray_direction, object_) if t_obj < t: - t, obj_idx = t_obj, i + t, obj_idx = t_obj, index # Return None if the ray does not intersect any object. if t == np.inf: return # Find the object. - obj = scene[obj_idx] + object_ = scene[obj_idx] # Find the point of intersection on the object. - M = rayO + rayD * t + intersection_point = ray_origin + ray_direction * t # Find properties of the object. - N = get_normal(obj, M) - color = get_color(obj, M) - toL = normalize(L - M) - toO = normalize(O - M) + normal = get_normal(object_, intersection_point) + color = get_color(object_, intersection_point) + to_light = normalize(L - intersection_point) + to_origin = normalize(O - intersection_point) # Shadow: find if the point is shadowed or not. - l = [intersect(M + N * .0001, toL, obj_sh) - for k, obj_sh in enumerate(scene) if k != obj_idx] - if l and min(l) < np.inf: + shadow_intersections = [intersect( intersection_point + normal * .0001, + to_light, + obj_sh + ) + for k, obj_sh in enumerate(scene) if k != obj_idx] + if shadow_intersections and min(shadow_intersections) < np.inf: return # Start computing the color. - col_ray = ambient + color_ray = ambient # Lambert shading (diffuse). - col_ray += obj.get('diffuse_c', diffuse_c) * max(np.dot(N, toL), 0) * color + diffuse_intensity = object_.get('diffuse_c', diffuse_c) * max( + np.dot(normal, to_light), 0) + color_ray += diffuse_intensity * color + # Blinn-Phong shading (specular). - col_ray += obj.get('specular_c', specular_c) * max(np.dot(N, normalize(toL + toO)), 0) ** specular_k * color_light - return obj, M, N, col_ray + half_vector = normalize(to_light + to_origin) + specular_intensity = object_.get('specular_c', specular_c) * max( + np.dot(normal, half_vector), 0) ** specular_k + color_ray += specular_intensity * color_light + return object_, intersection_point, normal, color_ray + def add_sphere(position, radius, color): - return dict(type='sphere', position=np.array(position), - radius=np.array(radius), color=np.array(color), reflection=.5) - + """ + Create a dictionary representing a sphere object. + + Parameters: + position (list or numpy.ndarray): + A 3D point representing the position of the sphere. + radius (float): The radius of the sphere. + color (list or numpy.ndarray): The color of the sphere. + + Returns: + dict: A dictionary representing the sphere object. + """ + return dict(type='sphere', position=np.array(position), + radius=np.array(radius), color=np.array(color), reflection=.5) + + def add_plane(position, normal): - return dict(type='plane', position=np.array(position), - normal=np.array(normal), - color=lambda M: (color_plane0 - if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) else color_plane1), - diffuse_c=.75, specular_c=.5, reflection=.25) - + """ + Create a dictionary representing a plane object. + + Parameters: + position (list or numpy.ndarray): + A 3D point representing a point on the plane. + normal (list or numpy.ndarray): + A normalized 3D vector representing the normal of the plane. + + Returns: + dict: A dictionary representing the plane object. + """ + return dict(type='plane', position=np.array(position), + normal=np.array(normal), + color=lambda M: (color_plane0 + if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) + else color_plane1), + diffuse_c=.75, specular_c=.5, reflection=.25) + + # List of objects. color_plane0 = 1. * np.ones(3) color_plane1 = 0. * np.ones(3) @@ -109,7 +253,7 @@ scene = [add_sphere([.75, .1, 1.], .6, [1., 0., 0.]), add_sphere([-.75, .1, 2.25], .6, [0., 1., 0.]), add_sphere([-2.75, .1, 3.5], .6, [0., 0., 1.]), add_plane([0., -.5, 0.], [0., 1., 0.]), - ] + ] # Light position and color. L = np.array([5., 5., -10.]) @@ -125,17 +269,17 @@ depth_max = 5 # Maximum number of light reflections. col = np.zeros(3) # Current color. O = np.array([0., 0.35, -1.]) # Camera. Q = np.array([0., 0., 0.]) # Camera pointing to. -img = np.zeros((h, w, 3)) +img = np.zeros((IMAGE_HEIGHT, IMAGE_WIDTH, 3)) -r = float(w) / h +r = float(IMAGE_WIDTH) / IMAGE_HEIGHT # Screen coordinates: x0, y0, x1, y1. S = (-1., -1. / r + .25, 1., 1. / r + .25) # Loop through all pixels. -for i, x in enumerate(np.linspace(S[0], S[2], w)): +for i, x in enumerate(np.linspace(S[0], S[2], IMAGE_WIDTH)): if i % 10 == 0: - print(i / float(w) * 100, "%") - for j, y in enumerate(np.linspace(S[1], S[3], h)): + print(i / float(IMAGE_WIDTH) * 100, "%") + for j, y in enumerate(np.linspace(S[1], S[3], IMAGE_HEIGHT)): col[:] = 0 Q[:2] = (x, y) D = normalize(Q - O) @@ -149,10 +293,11 @@ for i, x in enumerate(np.linspace(S[0], S[2], w)): break obj, M, N, col_ray = traced # Reflection: create a new ray. - rayO, rayD = M + N * .0001, normalize(rayD - 2 * np.dot(rayD, N) * N) + rayO, rayD = M + \ + N * .0001, normalize(rayD - 2 * np.dot(rayD, N) * N) depth += 1 col += reflection * col_ray reflection *= obj.get('reflection', 1.) - img[h - j - 1, i, :] = np.clip(col, 0, 1) + img[IMAGE_HEIGHT - j - 1, i, :] = np.clip(col, 0, 1) -plt.imsave('fig.png', img) \ No newline at end of file +plt.imsave('fig.png', img) From f979c383cf3ae08d0d000c08dc69a1dfdee63cbb Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Fri, 27 Dec 2024 12:17:07 +0100 Subject: [PATCH 05/19] fea: added pre commit --- .pre-commit-config.yaml | 47 ++++++++++++++ code/main.py | 131 ++++++++++++++++++++++++++++++++-------- code/requirements.txt | 6 +- 3 files changed, 158 insertions(+), 26 deletions(-) create mode 100644 .pre-commit-config.yaml diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml new file mode 100644 index 00000000..b8670a85 --- /dev/null +++ b/.pre-commit-config.yaml @@ -0,0 +1,47 @@ +repos: + - repo: https://github.com/psf/black + rev: 21.9b0 + hooks: + - id: black + + - repo: https://github.com/pre-commit/mirrors-autopep8 + rev: v1.5.7 + hooks: + - id: autopep8 + + - repo: https://github.com/pycqa/flake8 + rev: 3.9.2 + hooks: + - id: flake8 + + - repo: https://github.com/pre-commit/mirrors-pylint + rev: v2.7.4 + hooks: + - id: pylint + + - repo: https://github.com/pre-commit/pre-commit-hooks + rev: v3.4.0 + hooks: + - id: check-added-large-files + - id: check-ast + - id: check-builtin-literals + - id: check-case-conflict + - id: check-docstring-first + - id: check-executables-have-shebangs + - id: check-json + - id: check-merge-conflict + - id: check-symlinks + - id: check-yaml + - id: debug-statements + - id: detect-private-key + - id: double-quote-string-fixer + - id: end-of-file-fixer + - id: fix-encoding-pragma + - id: mixed-line-ending + - id: requirements-txt-fixer + - id: trailing-whitespace + - id: validate-commit-msg + - id: validate-pyproject-toml + - id: validate-xml + - id: validate-yaml +files: ^code/main.py$ \ No newline at end of file diff --git a/code/main.py b/code/main.py index 57efe9d5..72abd0d1 100644 --- a/code/main.py +++ b/code/main.py @@ -1,3 +1,4 @@ +#!/usr/bin/env python3 """ Renders an image using raytracing """ import numpy as np import matplotlib.pyplot as plt @@ -6,18 +7,18 @@ IMAGE_WIDTH = 400 IMAGE_HEIGHT = 300 -def normalize(x): +def normalize(vector): """ Normalize a vector. Parameters: - x (numpy.ndarray): The input vector to be normalized. + vector (numpy.ndarray): The input vector to be normalized. Returns: numpy.ndarray: The normalized vector. """ - x /= np.linalg.norm(x) - return x + vector /= np.linalg.norm(vector) + return vector def intersect_plane(ray_origin, ray_direction, plane_point, plane_normal): @@ -71,6 +72,23 @@ def intersect_sphere(ray_origin, ray_direction, sphere_center, sphere_radius): radius_squared = sphere_radius * sphere_radius c = np.dot(origin_to_center, origin_to_center) - radius_squared disc = b * b - 4 * a * c + return calculate_sphere_intersection(a, b, c, disc) + + +def calculate_sphere_intersection(a, b, c, disc): + """ + Calculate the intersection distance of a ray with a sphere using the quadratic formula. + + Parameters: + a (float): Coefficient of t^2 in the quadratic equation. + b (float): Coefficient of t in the quadratic equation. + c (float): Constant term in the quadratic equation. + disc (float): Discriminant of the quadratic equation. + + Returns: + float: The distance from the origin to the intersection point with the sphere. + Returns +inf if there is no intersection or if the intersection is behind the origin. + """ if disc > 0: distance_squared = np.sqrt(disc) # q is used to find the roots of the quadratic equation @@ -166,41 +184,104 @@ def trace_ray(ray_origin, ray_direction): and the color at the intersection point. Returns None if there is no intersection. """ - # Find first point of intersection with the scene. + t, obj_idx = find_intersection(ray_origin, ray_direction) + if t == np.inf: + return + object_, intersection_point = get_intersection_details( + ray_origin, ray_direction, t, obj_idx) + normal, color = get_normal(object_, intersection_point), get_color( + object_, intersection_point) + if is_shadowed(intersection_point, normal, obj_idx): + return + return compute_color( + object_, intersection_point, normal, color, ray_origin) + + +def find_intersection(ray_origin, ray_direction): + """ + Find the intersection of a ray with the objects in the scene. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): + A normalized 3D vector representing the direction of the ray. + + Returns: + tuple: A tuple containing the distance to the intersection point + and the index of the intersected object. + """ t = np.inf obj_idx = -1 for index, object_ in enumerate(scene): t_obj = intersect(ray_origin, ray_direction, object_) if t_obj < t: t, obj_idx = t_obj, index - # Return None if the ray does not intersect any object. - if t == np.inf: - return - # Find the object. + return t, obj_idx + + +def get_intersection_details(ray_origin, ray_direction, t, obj_idx): + """ + Get the details of the intersection point on the object. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): + A normalized 3D vector representing the direction of the ray. + t (float): The distance to the intersection point. + obj_idx (int): The index of the intersected object in the scene. + + Returns: + tuple: A tuple containing the intersected object + and the intersection point. + """ object_ = scene[obj_idx] - # Find the point of intersection on the object. intersection_point = ray_origin + ray_direction * t - # Find properties of the object. - normal = get_normal(object_, intersection_point) - color = get_color(object_, intersection_point) + return object_, intersection_point + + +def is_shadowed(intersection_point, normal, obj_idx): + """ + Determine if the intersection point is in shadow. + + Parameters: + intersection_point (numpy.ndarray): + A 3D point representing the intersection point on the object. + normal (numpy.ndarray): The normal vector at the intersection point. + obj_idx (int): The index of the intersected object in the scene. + + Returns: + bool: True if the intersection point is in shadow, False otherwise. + """ to_light = normalize(L - intersection_point) - to_origin = normalize(O - intersection_point) - # Shadow: find if the point is shadowed or not. - shadow_intersections = [intersect( intersection_point + normal * .0001, - to_light, - obj_sh - ) + shadow_intersections = [intersect( + intersection_point + normal * .0001, to_light, obj_sh) for k, obj_sh in enumerate(scene) if k != obj_idx] - if shadow_intersections and min(shadow_intersections) < np.inf: - return - # Start computing the color. + return shadow_intersections and min(shadow_intersections) < np.inf + + +def compute_color(object_, intersection_point, normal, color, ray_origin): + """ + Compute the color at the intersection point using shading techniques. + + Parameters: + object_ (dict): A dictionary representing the intersected object. + intersection_point (numpy.ndarray): + A 3D point representing the intersection point on the object. + normal (numpy.ndarray): The normal vector at the intersection point. + color (numpy.ndarray): The base color of the object. + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + + Returns: + tuple: + A tuple containing the intersected object, intersection point, normal, + and the computed color. + """ + to_light = normalize(L - intersection_point) + to_origin = normalize(ray_origin - intersection_point) color_ray = ambient - # Lambert shading (diffuse). diffuse_intensity = object_.get('diffuse_c', diffuse_c) * max( np.dot(normal, to_light), 0) color_ray += diffuse_intensity * color - - # Blinn-Phong shading (specular). half_vector = normalize(to_light + to_origin) specular_intensity = object_.get('specular_c', specular_c) * max( np.dot(normal, half_vector), 0) ** specular_k diff --git a/code/requirements.txt b/code/requirements.txt index ac121f2d..4f6b1783 100644 --- a/code/requirements.txt +++ b/code/requirements.txt @@ -2,4 +2,8 @@ glfw numpy pyrr PyOpenGL -matplotlib \ No newline at end of file +matplotlib +flake8 +black +autopep8 +flake8-max-function-length \ No newline at end of file From 6c51331e04ca53fa5453aa69a1426a8aebc45166 Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Fri, 27 Dec 2024 12:17:27 +0100 Subject: [PATCH 06/19] chore: removed pre commit --- .pre-commit-config.yaml | 47 ----------------------------------------- 1 file changed, 47 deletions(-) delete mode 100644 .pre-commit-config.yaml diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml deleted file mode 100644 index b8670a85..00000000 --- a/.pre-commit-config.yaml +++ /dev/null @@ -1,47 +0,0 @@ -repos: - - repo: https://github.com/psf/black - rev: 21.9b0 - hooks: - - id: black - - - repo: https://github.com/pre-commit/mirrors-autopep8 - rev: v1.5.7 - hooks: - - id: autopep8 - - - repo: https://github.com/pycqa/flake8 - rev: 3.9.2 - hooks: - - id: flake8 - - - repo: https://github.com/pre-commit/mirrors-pylint - rev: v2.7.4 - hooks: - - id: pylint - - - repo: https://github.com/pre-commit/pre-commit-hooks - rev: v3.4.0 - hooks: - - id: check-added-large-files - - id: check-ast - - id: check-builtin-literals - - id: check-case-conflict - - id: check-docstring-first - - id: check-executables-have-shebangs - - id: check-json - - id: check-merge-conflict - - id: check-symlinks - - id: check-yaml - - id: debug-statements - - id: detect-private-key - - id: double-quote-string-fixer - - id: end-of-file-fixer - - id: fix-encoding-pragma - - id: mixed-line-ending - - id: requirements-txt-fixer - - id: trailing-whitespace - - id: validate-commit-msg - - id: validate-pyproject-toml - - id: validate-xml - - id: validate-yaml -files: ^code/main.py$ \ No newline at end of file From df9da833361e9df4beffabf916f80f6dc58a602a Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Fri, 27 Dec 2024 12:31:31 +0100 Subject: [PATCH 07/19] feat: pylint perfect --- code/main.py | 66 ++++++++++++++++++++++++++++++---------------------- 1 file changed, 38 insertions(+), 28 deletions(-) diff --git a/code/main.py b/code/main.py index 72abd0d1..4ede6b90 100644 --- a/code/main.py +++ b/code/main.py @@ -124,9 +124,9 @@ def intersect(ray_origin, ray_direction, object_): if object_['type'] == 'plane': return intersect_plane(ray_origin, ray_direction, object_['position'], object_['normal']) - elif object_['type'] == 'sphere': - return intersect_sphere(ray_origin, ray_direction, - object_['position'], object_['radius']) + # object_['type'] == 'sphere': + return intersect_sphere(ray_origin, ray_direction, + object_['position'], object_['radius']) def get_normal(object_, intersection_point): @@ -186,13 +186,13 @@ def trace_ray(ray_origin, ray_direction): """ t, obj_idx = find_intersection(ray_origin, ray_direction) if t == np.inf: - return + return None object_, intersection_point = get_intersection_details( ray_origin, ray_direction, t, obj_idx) normal, color = get_normal(object_, intersection_point), get_color( object_, intersection_point) if is_shadowed(intersection_point, normal, obj_idx): - return + return None return compute_color( object_, intersection_point, normal, color, ray_origin) @@ -278,13 +278,13 @@ def compute_color(object_, intersection_point, normal, color, ray_origin): """ to_light = normalize(L - intersection_point) to_origin = normalize(ray_origin - intersection_point) - color_ray = ambient - diffuse_intensity = object_.get('diffuse_c', diffuse_c) * max( + color_ray = AMBIENT + diffuse_intensity = object_.get('diffuse_c', DIFFUSE_C) * max( np.dot(normal, to_light), 0) color_ray += diffuse_intensity * color half_vector = normalize(to_light + to_origin) - specular_intensity = object_.get('specular_c', specular_c) * max( - np.dot(normal, half_vector), 0) ** specular_k + specular_intensity = object_.get('specular_c', SPECULAR_C) * max( + np.dot(normal, half_vector), 0) ** SPECULAR_K color_ray += specular_intensity * color_light return object_, intersection_point, normal, color_ray @@ -302,8 +302,13 @@ def add_sphere(position, radius, color): Returns: dict: A dictionary representing the sphere object. """ - return dict(type='sphere', position=np.array(position), - radius=np.array(radius), color=np.array(color), reflection=.5) + return { + 'type': 'sphere', + 'position': np.array(position), + 'radius': np.array(radius), + 'color': np.array(color), + 'reflection': .5 + } def add_plane(position, normal): @@ -319,12 +324,17 @@ def add_plane(position, normal): Returns: dict: A dictionary representing the plane object. """ - return dict(type='plane', position=np.array(position), - normal=np.array(normal), - color=lambda M: (color_plane0 - if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) - else color_plane1), - diffuse_c=.75, specular_c=.5, reflection=.25) + return { + 'type': 'plane', + 'position': np.array(position), + 'normal': np.array(normal), + 'color': lambda M: (color_plane0 + if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) + else color_plane1), + 'diffuse_c': .75, + 'specular_c': .5, + 'reflection': .25 + } # List of objects. @@ -341,12 +351,12 @@ L = np.array([5., 5., -10.]) color_light = np.ones(3) # Default light and material parameters. -ambient = .05 -diffuse_c = 1. -specular_c = 1. -specular_k = 50 +AMBIENT = .05 +DIFFUSE_C = 1. +SPECULAR_C = 1. +SPECULAR_K = 50 -depth_max = 5 # Maximum number of light reflections. +DEPTH_MAX = 5 # Maximum number of light reflections. col = np.zeros(3) # Current color. O = np.array([0., 0.35, -1.]) # Camera. Q = np.array([0., 0., 0.]) # Camera pointing to. @@ -364,11 +374,11 @@ for i, x in enumerate(np.linspace(S[0], S[2], IMAGE_WIDTH)): col[:] = 0 Q[:2] = (x, y) D = normalize(Q - O) - depth = 0 + DEPTH = 0 rayO, rayD = O, D - reflection = 1. + REFLECTION = 1. # Loop through initial and secondary rays. - while depth < depth_max: + while DEPTH < DEPTH_MAX: traced = trace_ray(rayO, rayD) if not traced: break @@ -376,9 +386,9 @@ for i, x in enumerate(np.linspace(S[0], S[2], IMAGE_WIDTH)): # Reflection: create a new ray. rayO, rayD = M + \ N * .0001, normalize(rayD - 2 * np.dot(rayD, N) * N) - depth += 1 - col += reflection * col_ray - reflection *= obj.get('reflection', 1.) + DEPTH += 1 + col += REFLECTION * col_ray + REFLECTION *= obj.get('reflection', 1.) img[IMAGE_HEIGHT - j - 1, i, :] = np.clip(col, 0, 1) plt.imsave('fig.png', img) From 0a497f35a2fc8de5a40160f2fe06fddc1ccd59e9 Mon Sep 17 00:00:00 2001 From: Krzysztof Rudnicki Date: Fri, 27 Dec 2024 12:33:06 +0100 Subject: [PATCH 08/19] feat: flake perfect --- code/main.py | 19 +++++++++++-------- 1 file changed, 11 insertions(+), 8 deletions(-) diff --git a/code/main.py b/code/main.py index 4ede6b90..884778fa 100644 --- a/code/main.py +++ b/code/main.py @@ -56,7 +56,7 @@ def intersect_sphere(ray_origin, ray_direction, sphere_center, sphere_radius): ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. ray_direction (numpy.ndarray): A normalized 3D vector representing the direction of the ray. - sphere_center (numpy.ndarray): A 3D point representing + sphere_center (numpy.ndarray): A 3D point representing the center of the sphere. sphere_radius (float): The radius of the sphere. @@ -77,7 +77,8 @@ def intersect_sphere(ray_origin, ray_direction, sphere_center, sphere_radius): def calculate_sphere_intersection(a, b, c, disc): """ - Calculate the intersection distance of a ray with a sphere using the quadratic formula. + Calculate the + intersection distance of a ray with a sphere using the quadratic formula. Parameters: a (float): Coefficient of t^2 in the quadratic equation. @@ -86,8 +87,10 @@ def calculate_sphere_intersection(a, b, c, disc): disc (float): Discriminant of the quadratic equation. Returns: - float: The distance from the origin to the intersection point with the sphere. - Returns +inf if there is no intersection or if the intersection is behind the origin. + float: + The distance from the origin to the intersection point with the sphere. + Returns +inf if there is no intersection + or if the intersection is behind the origin. """ if disc > 0: distance_squared = np.sqrt(disc) @@ -179,7 +182,7 @@ def trace_ray(ray_origin, ray_direction): A normalized 3D vector representing the direction of the ray. Returns: - tuple: A tuple containing the object, + tuple: A tuple containing the object, intersection point, normal at the intersection, and the color at the intersection point. Returns None if there is no intersection. @@ -358,7 +361,7 @@ SPECULAR_K = 50 DEPTH_MAX = 5 # Maximum number of light reflections. col = np.zeros(3) # Current color. -O = np.array([0., 0.35, -1.]) # Camera. +camera_origin = np.array([0., 0.35, -1.]) # Camera. Q = np.array([0., 0., 0.]) # Camera pointing to. img = np.zeros((IMAGE_HEIGHT, IMAGE_WIDTH, 3)) @@ -373,9 +376,9 @@ for i, x in enumerate(np.linspace(S[0], S[2], IMAGE_WIDTH)): for j, y in enumerate(np.linspace(S[1], S[3], IMAGE_HEIGHT)): col[:] = 0 Q[:2] = (x, y) - D = normalize(Q - O) + D = normalize(Q - camera_origin) DEPTH = 0 - rayO, rayD = O, D + rayO, rayD = camera_origin, D REFLECTION = 1. # Loop through initial and secondary rays. while DEPTH < DEPTH_MAX: From 5212d78a73f9079665f641ab628be423c4c55038 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Jakub=20Po=C4=87wiardowski?= <80002864+jpocwiar@users.noreply.github.com> Date: Sat, 28 Dec 2024 16:57:27 +0100 Subject: [PATCH 09/19] arg parsing, minor name changes and fixes (#2) * arg parsing, minor name changes and fixes * reqs returned, scene and env added as args to rendering (not doing anything yet) * added folders for scenes and envs * added folders for scenes and envs (now they actually appear on GH after adding readmes) * added varying spheres amount --- ,gitignore => .gitignore | 2 + code/config.ini | 11 + code/environments/README.md | 3 + code/main.py | 416 +++--------------------------------- code/rendering.py | 410 +++++++++++++++++++++++++++++++++++ code/scenes/README.md | 3 + code/utils.py | 13 ++ 7 files changed, 469 insertions(+), 389 deletions(-) rename ,gitignore => .gitignore (99%) create mode 100644 code/config.ini create mode 100644 code/environments/README.md create mode 100644 code/rendering.py create mode 100644 code/scenes/README.md create mode 100644 code/utils.py diff --git a/,gitignore b/.gitignore similarity index 99% rename from ,gitignore rename to .gitignore index efa407c3..f9949030 100644 --- a/,gitignore +++ b/.gitignore @@ -1,3 +1,5 @@ +.vscode/ + # Byte-compiled / optimized / DLL files __pycache__/ *.py[cod] diff --git a/code/config.ini b/code/config.ini new file mode 100644 index 00000000..1747370c --- /dev/null +++ b/code/config.ini @@ -0,0 +1,11 @@ +[DEFAULT] +algorithm = ray_tracing +scene = scenes/scene.obj +environment_map = environments/map.hdr +resolution = 400x300 + +[ray_tracing] +max_depth = 5 ; Params for ray tracing + +[photon_mapping] +photon_count = 100000 ; Params for photon mapping \ No newline at end of file diff --git a/code/environments/README.md b/code/environments/README.md new file mode 100644 index 00000000..913b13a2 --- /dev/null +++ b/code/environments/README.md @@ -0,0 +1,3 @@ +# Environment directory + +Environments with .hdr or .hdri extension should stored in this directory. These files are used to create the skybox in the scene. \ No newline at end of file diff --git a/code/main.py b/code/main.py index 884778fa..34ea7d69 100644 --- a/code/main.py +++ b/code/main.py @@ -1,397 +1,35 @@ -#!/usr/bin/env python3 -""" Renders an image using raytracing """ -import numpy as np -import matplotlib.pyplot as plt +import argparse +from configparser import ConfigParser +from rendering import ray_trace +from utils import load_config, parse_resolution -IMAGE_WIDTH = 400 -IMAGE_HEIGHT = 300 +def main(): + # default config + config = load_config('config.ini') + # Parse + parser = argparse.ArgumentParser(description="Rendering Program") + parser.add_argument('--algorithm', type=str, help='Algorithm to use', default=config.get('DEFAULT', 'algorithm')) + parser.add_argument('--scene', type=str, help='Path to scene file', default=config.get('DEFAULT', 'scene')) + parser.add_argument('--environment_map', type=str, help='Environment map file', default=config.get('DEFAULT', 'environment_map')) + parser.add_argument('--resolution', type=str, help='Image resolution (WIDTHxHEIGHT)', + default=config.get('DEFAULT', 'resolution')) -def normalize(vector): - """ - Normalize a vector. + parser.add_argument('--num_spheres', type=int, default=3, help='Number of spheres in the scene') - Parameters: - vector (numpy.ndarray): The input vector to be normalized. + args = parser.parse_args() - Returns: - numpy.ndarray: The normalized vector. - """ - vector /= np.linalg.norm(vector) - return vector + width, height = parse_resolution(args.resolution) - -def intersect_plane(ray_origin, ray_direction, plane_point, plane_normal): - """ - Calculate the intersection of a ray with a plane. - - Parameters: - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - ray_direction (numpy.ndarray): A normalized 3D vector representing the - direction of the ray. - plane_point (numpy.ndarray): A 3D point representing a point on the plane. - plane_normal (numpy.ndarray): A normalized 3D vector representing - the normal of the plane. - - Returns: - float: The distance from the origin ray_origin to the intersection - point with the plane. - Returns +inf if there is no intersection or if the intersection is - behind the origin. - """ - denom = np.dot(ray_direction, plane_normal) - if np.abs(denom) < 1e-6: - return np.inf - d = np.dot(plane_point - ray_origin, plane_normal) / denom - if d < 0: - return np.inf - return d - - -def intersect_sphere(ray_origin, ray_direction, sphere_center, sphere_radius): - """ - Calculate the intersection of a ray with a sphere. - - Parameters: - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - ray_direction (numpy.ndarray): A normalized 3D vector representing the - direction of the ray. - sphere_center (numpy.ndarray): A 3D point representing - the center of the sphere. - sphere_radius (float): The radius of the sphere. - - Returns: - float: The distance from the origin ray_origin to the intersection - point with the sphere. - Returns +inf if there is no intersection or if the intersection is - behind the origin. - """ - a = np.dot(ray_direction, ray_direction) - origin_to_center = ray_origin - sphere_center - b = 2 * np.dot(ray_direction, origin_to_center) - radius_squared = sphere_radius * sphere_radius - c = np.dot(origin_to_center, origin_to_center) - radius_squared - disc = b * b - 4 * a * c - return calculate_sphere_intersection(a, b, c, disc) - - -def calculate_sphere_intersection(a, b, c, disc): - """ - Calculate the - intersection distance of a ray with a sphere using the quadratic formula. - - Parameters: - a (float): Coefficient of t^2 in the quadratic equation. - b (float): Coefficient of t in the quadratic equation. - c (float): Constant term in the quadratic equation. - disc (float): Discriminant of the quadratic equation. - - Returns: - float: - The distance from the origin to the intersection point with the sphere. - Returns +inf if there is no intersection - or if the intersection is behind the origin. - """ - if disc > 0: - distance_squared = np.sqrt(disc) - # q is used to find the roots of the quadratic equation - if b < 0: - q = (-b - distance_squared) / 2.0 - else: - q = (-b + distance_squared) / 2.0 - t0 = q / a - t1 = c / q - t0, t1 = min(t0, t1), max(t0, t1) - if t1 >= 0: - return t1 if t0 < 0 else t0 - return np.inf - - -def intersect(ray_origin, ray_direction, object_): - """ - Calculate the intersection of a ray with an object. - - Parameters: - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - ray_direction (numpy.ndarray): A normalized 3D vector representing the - direction of the ray. - obj (dict): A dictionary representing the object with keys - 'type', 'position', 'normal' (for planes), and 'radius' (for spheres). - - Returns: - float: The distance from the origin ray_origin to the intersection - point with the object. - Returns +inf if there is no intersection or if the intersection is - behind the origin. - """ - if object_['type'] == 'plane': - return intersect_plane(ray_origin, ray_direction, - object_['position'], object_['normal']) - # object_['type'] == 'sphere': - return intersect_sphere(ray_origin, ray_direction, - object_['position'], object_['radius']) - - -def get_normal(object_, intersection_point): - """ - Calculate the normal at the intersection point on the object. - - Parameters: - obj (dict): A dictionary representing the object with keys - 'type' and 'position'. - intersection_point (numpy.ndarray): A 3D point representing the - intersection point on the object. - - Returns: - numpy.ndarray: The normal vector at the intersection point. - """ - if object_['type'] == 'sphere': - normal = normalize(intersection_point - object_['position']) - elif object_['type'] == 'plane': - normal = object_['normal'] + # Run the selected algorithm + if args.algorithm == "ray_tracing": + print("Starting ray tracing...") + # ray_trace(args.scene, args.environment_map, image_width=width, image_height=height, output_file="output_ray_traced.png") + ray_trace(args.num_spheres, args.environment_map, image_width=width, image_height=height, # na razie generujemy w kodzie, ale potem trzeba będzie obj wczytywać + output_file="output_ray_traced.png") else: - raise ValueError(f"Unknown object type: {object_['type']}") - return normal + print(f"Unknown algorithm: {args.algorithm}") + return - -def get_color(object_, intersection_point): - """ - Get the color of the object at the intersection point. - - Parameters: - object_ (dict): A dictionary representing the object with a key 'color'. - intersection_point (numpy.ndarray): A 3D point representing the - intersection point on the object. - - Returns: - numpy.ndarray: The color of the object at the intersection point. - """ - color = object_['color'] - if not hasattr(color, '__len__'): - color = color(intersection_point) - return color - - -def trace_ray(ray_origin, ray_direction): - """ - Trace a ray and find the color at the intersection point. - - Parameters: - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - ray_direction (numpy.ndarray): - A normalized 3D vector representing the direction of the ray. - - Returns: - tuple: A tuple containing the object, - intersection point, normal at the intersection, - and the color at the intersection point. - Returns None if there is no intersection. - """ - t, obj_idx = find_intersection(ray_origin, ray_direction) - if t == np.inf: - return None - object_, intersection_point = get_intersection_details( - ray_origin, ray_direction, t, obj_idx) - normal, color = get_normal(object_, intersection_point), get_color( - object_, intersection_point) - if is_shadowed(intersection_point, normal, obj_idx): - return None - return compute_color( - object_, intersection_point, normal, color, ray_origin) - - -def find_intersection(ray_origin, ray_direction): - """ - Find the intersection of a ray with the objects in the scene. - - Parameters: - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - ray_direction (numpy.ndarray): - A normalized 3D vector representing the direction of the ray. - - Returns: - tuple: A tuple containing the distance to the intersection point - and the index of the intersected object. - """ - t = np.inf - obj_idx = -1 - for index, object_ in enumerate(scene): - t_obj = intersect(ray_origin, ray_direction, object_) - if t_obj < t: - t, obj_idx = t_obj, index - return t, obj_idx - - -def get_intersection_details(ray_origin, ray_direction, t, obj_idx): - """ - Get the details of the intersection point on the object. - - Parameters: - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - ray_direction (numpy.ndarray): - A normalized 3D vector representing the direction of the ray. - t (float): The distance to the intersection point. - obj_idx (int): The index of the intersected object in the scene. - - Returns: - tuple: A tuple containing the intersected object - and the intersection point. - """ - object_ = scene[obj_idx] - intersection_point = ray_origin + ray_direction * t - return object_, intersection_point - - -def is_shadowed(intersection_point, normal, obj_idx): - """ - Determine if the intersection point is in shadow. - - Parameters: - intersection_point (numpy.ndarray): - A 3D point representing the intersection point on the object. - normal (numpy.ndarray): The normal vector at the intersection point. - obj_idx (int): The index of the intersected object in the scene. - - Returns: - bool: True if the intersection point is in shadow, False otherwise. - """ - to_light = normalize(L - intersection_point) - shadow_intersections = [intersect( - intersection_point + normal * .0001, to_light, obj_sh) - for k, obj_sh in enumerate(scene) if k != obj_idx] - return shadow_intersections and min(shadow_intersections) < np.inf - - -def compute_color(object_, intersection_point, normal, color, ray_origin): - """ - Compute the color at the intersection point using shading techniques. - - Parameters: - object_ (dict): A dictionary representing the intersected object. - intersection_point (numpy.ndarray): - A 3D point representing the intersection point on the object. - normal (numpy.ndarray): The normal vector at the intersection point. - color (numpy.ndarray): The base color of the object. - ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. - - Returns: - tuple: - A tuple containing the intersected object, intersection point, normal, - and the computed color. - """ - to_light = normalize(L - intersection_point) - to_origin = normalize(ray_origin - intersection_point) - color_ray = AMBIENT - diffuse_intensity = object_.get('diffuse_c', DIFFUSE_C) * max( - np.dot(normal, to_light), 0) - color_ray += diffuse_intensity * color - half_vector = normalize(to_light + to_origin) - specular_intensity = object_.get('specular_c', SPECULAR_C) * max( - np.dot(normal, half_vector), 0) ** SPECULAR_K - color_ray += specular_intensity * color_light - return object_, intersection_point, normal, color_ray - - -def add_sphere(position, radius, color): - """ - Create a dictionary representing a sphere object. - - Parameters: - position (list or numpy.ndarray): - A 3D point representing the position of the sphere. - radius (float): The radius of the sphere. - color (list or numpy.ndarray): The color of the sphere. - - Returns: - dict: A dictionary representing the sphere object. - """ - return { - 'type': 'sphere', - 'position': np.array(position), - 'radius': np.array(radius), - 'color': np.array(color), - 'reflection': .5 - } - - -def add_plane(position, normal): - """ - Create a dictionary representing a plane object. - - Parameters: - position (list or numpy.ndarray): - A 3D point representing a point on the plane. - normal (list or numpy.ndarray): - A normalized 3D vector representing the normal of the plane. - - Returns: - dict: A dictionary representing the plane object. - """ - return { - 'type': 'plane', - 'position': np.array(position), - 'normal': np.array(normal), - 'color': lambda M: (color_plane0 - if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) - else color_plane1), - 'diffuse_c': .75, - 'specular_c': .5, - 'reflection': .25 - } - - -# List of objects. -color_plane0 = 1. * np.ones(3) -color_plane1 = 0. * np.ones(3) -scene = [add_sphere([.75, .1, 1.], .6, [1., 0., 0.]), - add_sphere([-.75, .1, 2.25], .6, [0., 1., 0.]), - add_sphere([-2.75, .1, 3.5], .6, [0., 0., 1.]), - add_plane([0., -.5, 0.], [0., 1., 0.]), - ] - -# Light position and color. -L = np.array([5., 5., -10.]) -color_light = np.ones(3) - -# Default light and material parameters. -AMBIENT = .05 -DIFFUSE_C = 1. -SPECULAR_C = 1. -SPECULAR_K = 50 - -DEPTH_MAX = 5 # Maximum number of light reflections. -col = np.zeros(3) # Current color. -camera_origin = np.array([0., 0.35, -1.]) # Camera. -Q = np.array([0., 0., 0.]) # Camera pointing to. -img = np.zeros((IMAGE_HEIGHT, IMAGE_WIDTH, 3)) - -r = float(IMAGE_WIDTH) / IMAGE_HEIGHT -# Screen coordinates: x0, y0, x1, y1. -S = (-1., -1. / r + .25, 1., 1. / r + .25) - -# Loop through all pixels. -for i, x in enumerate(np.linspace(S[0], S[2], IMAGE_WIDTH)): - if i % 10 == 0: - print(i / float(IMAGE_WIDTH) * 100, "%") - for j, y in enumerate(np.linspace(S[1], S[3], IMAGE_HEIGHT)): - col[:] = 0 - Q[:2] = (x, y) - D = normalize(Q - camera_origin) - DEPTH = 0 - rayO, rayD = camera_origin, D - REFLECTION = 1. - # Loop through initial and secondary rays. - while DEPTH < DEPTH_MAX: - traced = trace_ray(rayO, rayD) - if not traced: - break - obj, M, N, col_ray = traced - # Reflection: create a new ray. - rayO, rayD = M + \ - N * .0001, normalize(rayD - 2 * np.dot(rayD, N) * N) - DEPTH += 1 - col += REFLECTION * col_ray - REFLECTION *= obj.get('reflection', 1.) - img[IMAGE_HEIGHT - j - 1, i, :] = np.clip(col, 0, 1) - -plt.imsave('fig.png', img) +if __name__ == '__main__': + main() diff --git a/code/rendering.py b/code/rendering.py new file mode 100644 index 00000000..f1f3d6b0 --- /dev/null +++ b/code/rendering.py @@ -0,0 +1,410 @@ +#!/usr/bin/env python3 +""" Renders an image using raytracing """ +import numpy as np +import matplotlib.pyplot as plt + +def ray_trace(num_spheres, environment, image_width=400, image_height=300, output_file="fig.png"): + IMAGE_WIDTH = image_width + IMAGE_HEIGHT = image_height + + + def normalize(vector): + """ + Normalize a vector. + + Parameters: + vector (numpy.ndarray): The input vector to be normalized. + + Returns: + numpy.ndarray: The normalized vector. + """ + vector /= np.linalg.norm(vector) + return vector + + + def intersect_plane(ray_origin, ray_direction, plane_point, plane_normal): + """ + Calculate the intersection of a ray with a plane. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): A normalized 3D vector representing the + direction of the ray. + plane_point (numpy.ndarray): A 3D point representing a point on the plane. + plane_normal (numpy.ndarray): A normalized 3D vector representing + the normal of the plane. + + Returns: + float: The distance from the origin ray_origin to the intersection + point with the plane. + Returns +inf if there is no intersection or if the intersection is + behind the origin. + """ + denom = np.dot(ray_direction, plane_normal) + if np.abs(denom) < 1e-6: + return np.inf + d = np.dot(plane_point - ray_origin, plane_normal) / denom + if d < 0: + return np.inf + return d + + + def intersect_sphere(ray_origin, ray_direction, sphere_center, sphere_radius): + """ + Calculate the intersection of a ray with a sphere. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): A normalized 3D vector representing the + direction of the ray. + sphere_center (numpy.ndarray): A 3D point representing + the center of the sphere. + sphere_radius (float): The radius of the sphere. + + Returns: + float: The distance from the origin ray_origin to the intersection + point with the sphere. + Returns +inf if there is no intersection or if the intersection is + behind the origin. + """ + a = np.dot(ray_direction, ray_direction) + origin_to_center = ray_origin - sphere_center + b = 2 * np.dot(ray_direction, origin_to_center) + radius_squared = sphere_radius * sphere_radius + c = np.dot(origin_to_center, origin_to_center) - radius_squared + disc = b * b - 4 * a * c + return calculate_sphere_intersection(a, b, c, disc) + + + def calculate_sphere_intersection(a, b, c, disc): + """ + Calculate the + intersection distance of a ray with a sphere using the quadratic formula. + + Parameters: + a (float): Coefficient of t^2 in the quadratic equation. + b (float): Coefficient of t in the quadratic equation. + c (float): Constant term in the quadratic equation. + disc (float): Discriminant of the quadratic equation. + + Returns: + float: + The distance from the origin to the intersection point with the sphere. + Returns +inf if there is no intersection + or if the intersection is behind the origin. + """ + if disc > 0: + distance_squared = np.sqrt(disc) + # q is used to find the roots of the quadratic equation + if b < 0: + q = (-b - distance_squared) / 2.0 + else: + q = (-b + distance_squared) / 2.0 + t0 = q / a + t1 = c / q + t0, t1 = min(t0, t1), max(t0, t1) + if t1 >= 0: + return t1 if t0 < 0 else t0 + return np.inf + + + def intersect(ray_origin, ray_direction, object_): + """ + Calculate the intersection of a ray with an object. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): A normalized 3D vector representing the + direction of the ray. + obj (dict): A dictionary representing the object with keys + 'type', 'position', 'normal' (for planes), and 'radius' (for spheres). + + Returns: + float: The distance from the origin ray_origin to the intersection + point with the object. + Returns +inf if there is no intersection or if the intersection is + behind the origin. + """ + if object_['type'] == 'plane': + return intersect_plane(ray_origin, ray_direction, + object_['position'], object_['normal']) + # object_['type'] == 'sphere': + return intersect_sphere(ray_origin, ray_direction, + object_['position'], object_['radius']) + + + def get_normal(object_, intersection_point): + """ + Calculate the normal at the intersection point on the object. + + Parameters: + obj (dict): A dictionary representing the object with keys + 'type' and 'position'. + intersection_point (numpy.ndarray): A 3D point representing the + intersection point on the object. + + Returns: + numpy.ndarray: The normal vector at the intersection point. + """ + if object_['type'] == 'sphere': + normal = normalize(intersection_point - object_['position']) + elif object_['type'] == 'plane': + normal = object_['normal'] + else: + raise ValueError(f"Unknown object type: {object_['type']}") + return normal + + + def get_color(object_, intersection_point): + """ + Get the color of the object at the intersection point. + + Parameters: + object_ (dict): A dictionary representing the object with a key 'color'. + intersection_point (numpy.ndarray): A 3D point representing the + intersection point on the object. + + Returns: + numpy.ndarray: The color of the object at the intersection point. + """ + color = object_['color'] + if not hasattr(color, '__len__'): + color = color(intersection_point) + return color + + + def trace_ray(ray_origin, ray_direction): + """ + Trace a ray and find the color at the intersection point. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): + A normalized 3D vector representing the direction of the ray. + + Returns: + tuple: A tuple containing the object, + intersection point, normal at the intersection, + and the color at the intersection point. + Returns None if there is no intersection. + """ + t, obj_idx = find_intersection(ray_origin, ray_direction) + if t == np.inf: + return None + object_, intersection_point = get_intersection_details( + ray_origin, ray_direction, t, obj_idx) + normal, color = get_normal(object_, intersection_point), get_color( + object_, intersection_point) + if is_shadowed(intersection_point, normal, obj_idx): + return None + return compute_color( + object_, intersection_point, normal, color, ray_origin) + + + def find_intersection(ray_origin, ray_direction): + """ + Find the intersection of a ray with the objects in the scene. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): + A normalized 3D vector representing the direction of the ray. + + Returns: + tuple: A tuple containing the distance to the intersection point + and the index of the intersected object. + """ + t = np.inf + obj_idx = -1 + for index, object_ in enumerate(scene): + t_obj = intersect(ray_origin, ray_direction, object_) + if t_obj < t: + t, obj_idx = t_obj, index + return t, obj_idx + + + def get_intersection_details(ray_origin, ray_direction, t, obj_idx): + """ + Get the details of the intersection point on the object. + + Parameters: + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + ray_direction (numpy.ndarray): + A normalized 3D vector representing the direction of the ray. + t (float): The distance to the intersection point. + obj_idx (int): The index of the intersected object in the scene. + + Returns: + tuple: A tuple containing the intersected object + and the intersection point. + """ + object_ = scene[obj_idx] + intersection_point = ray_origin + ray_direction * t + return object_, intersection_point + + + def is_shadowed(intersection_point, normal, obj_idx): + """ + Determine if the intersection point is in shadow. + + Parameters: + intersection_point (numpy.ndarray): + A 3D point representing the intersection point on the object. + normal (numpy.ndarray): The normal vector at the intersection point. + obj_idx (int): The index of the intersected object in the scene. + + Returns: + bool: True if the intersection point is in shadow, False otherwise. + """ + to_light = normalize(L - intersection_point) + shadow_intersections = [intersect( + intersection_point + normal * .0001, to_light, obj_sh) + for k, obj_sh in enumerate(scene) if k != obj_idx] + return shadow_intersections and min(shadow_intersections) < np.inf + + + def compute_color(object_, intersection_point, normal, color, ray_origin): + """ + Compute the color at the intersection point using shading techniques. + + Parameters: + object_ (dict): A dictionary representing the intersected object. + intersection_point (numpy.ndarray): + A 3D point representing the intersection point on the object. + normal (numpy.ndarray): The normal vector at the intersection point. + color (numpy.ndarray): The base color of the object. + ray_origin (numpy.ndarray): A 3D point representing the origin of the ray. + + Returns: + tuple: + A tuple containing the intersected object, intersection point, normal, + and the computed color. + """ + to_light = normalize(L - intersection_point) + to_origin = normalize(ray_origin - intersection_point) + color_ray = AMBIENT + diffuse_intensity = object_.get('diffuse_c', DIFFUSE_C) * max( + np.dot(normal, to_light), 0) + color_ray += diffuse_intensity * color + half_vector = normalize(to_light + to_origin) + specular_intensity = object_.get('specular_c', SPECULAR_C) * max( + np.dot(normal, half_vector), 0) ** SPECULAR_K + color_ray += specular_intensity * color_light + return object_, intersection_point, normal, color_ray + + + def add_sphere(position, radius, color): + """ + Create a dictionary representing a sphere object. + + Parameters: + position (list or numpy.ndarray): + A 3D point representing the position of the sphere. + radius (float): The radius of the sphere. + color (list or numpy.ndarray): The color of the sphere. + + Returns: + dict: A dictionary representing the sphere object. + """ + return { + 'type': 'sphere', + 'position': np.array(position), + 'radius': np.array(radius), + 'color': np.array(color), + 'reflection': .5 + } + + + def add_plane(position, normal): + """ + Create a dictionary representing a plane object. + + Parameters: + position (list or numpy.ndarray): + A 3D point representing a point on the plane. + normal (list or numpy.ndarray): + A normalized 3D vector representing the normal of the plane. + + Returns: + dict: A dictionary representing the plane object. + """ + return { + 'type': 'plane', + 'position': np.array(position), + 'normal': np.array(normal), + 'color': lambda M: (color_plane0 + if (int(M[0] * 2) % 2) == (int(M[2] * 2) % 2) + else color_plane1), + 'diffuse_c': .75, + 'specular_c': .5, + 'reflection': .25 + } + + scene = [] + + # List of objects. + color_plane0 = 1. * np.ones(3) + color_plane1 = 0. * np.ones(3) + scene.append(add_plane([0., -0.5, 0.], [0., 1., 0.])) + base_radius = 1 / np.sqrt(num_spheres) # Im więcej kul, tym mniejsze + base_distance = 4.5 / num_spheres + + for i in range(num_spheres): + # Wyliczanie pozycji każdej kuli + x = (i - num_spheres // 2) * base_distance + y = 0.1 + z = 1. + i * 0.5 + + # Dynamiczny kolor (gradient na podstawie indeksu) + color = np.array([i / num_spheres, (num_spheres - i) / num_spheres, 0.5]) + + # Dodanie kuli do sceny + scene.append(add_sphere([x, y, z], base_radius, color)) + + # Light position and color. + L = np.array([5., 5., -10.]) + color_light = np.ones(3) + + # Default light and material parameters. + AMBIENT = .05 + DIFFUSE_C = 1. + SPECULAR_C = 1. + SPECULAR_K = 50 + + DEPTH_MAX = 5 # Maximum number of light reflections. + col = np.zeros(3) # Current color. + camera_origin = np.array([0., 0.35, -1.]) # Camera. + Q = np.array([0., 0., 0.]) # Camera pointing to. + img = np.zeros((IMAGE_HEIGHT, IMAGE_WIDTH, 3)) + + r = float(IMAGE_WIDTH) / IMAGE_HEIGHT + # Screen coordinates: x0, y0, x1, y1. + S = (-1., -1. / r + .25, 1., 1. / r + .25) + + # Loop through all pixels. + for i, x in enumerate(np.linspace(S[0], S[2], IMAGE_WIDTH)): + if i % 10 == 0: + print(i / float(IMAGE_WIDTH) * 100, "%") + for j, y in enumerate(np.linspace(S[1], S[3], IMAGE_HEIGHT)): + col[:] = 0 + Q[:2] = (x, y) + D = normalize(Q - camera_origin) + DEPTH = 0 + rayO, rayD = camera_origin, D + REFLECTION = 1. + # Loop through initial and secondary rays. + while DEPTH < DEPTH_MAX: + traced = trace_ray(rayO, rayD) + if not traced: + break + obj, M, N, col_ray = traced + # Reflection: create a new ray. + rayO, rayD = M + \ + N * .0001, normalize(rayD - 2 * np.dot(rayD, N) * N) + DEPTH += 1 + col += REFLECTION * col_ray + REFLECTION *= obj.get('reflection', 1.) + img[IMAGE_HEIGHT - j - 1, i, :] = np.clip(col, 0, 1) + + plt.imsave(output_file, img) + print(f"Image saved as {output_file}") diff --git a/code/scenes/README.md b/code/scenes/README.md new file mode 100644 index 00000000..6def2878 --- /dev/null +++ b/code/scenes/README.md @@ -0,0 +1,3 @@ +# Scene directory + +This is scene directory. Put .obj files here. \ No newline at end of file diff --git a/code/utils.py b/code/utils.py new file mode 100644 index 00000000..b211d68c --- /dev/null +++ b/code/utils.py @@ -0,0 +1,13 @@ +from configparser import ConfigParser + +def load_config(config_path): + config = ConfigParser() + config.read(config_path) + return config + +def parse_resolution(resolution): + try: + width, height = map(int, resolution.lower().split('x')) + return width, height + except ValueError: + raise ValueError("Resolution must be in the format WIDTHxHEIGHT, e.g., 1920x1080.") \ No newline at end of file From ac66c14189b08c1d8e548072852925a38c0a6c9f Mon Sep 17 00:00:00 2001 From: mszewcz3 <01140109@pw.edu.pl> Date: Sun, 12 Jan 2025 12:07:04 +0100 Subject: [PATCH 10/19] sightpy --- code/__init__.py | 0 code/output_ray_traced.png | Bin 0 -> 58217 bytes code/requirements.txt | 4 +- code/scenes/EXAMPLE1.png | Bin 0 -> 135025 bytes code/sightpy/__init__.py | 17 ++ code/sightpy/animation.py | 54 ++++ code/sightpy/backgrounds/__init__.py | 0 code/sightpy/backgrounds/lake.png | Bin 0 -> 2963971 bytes code/sightpy/backgrounds/lightmaps/lake.png | Bin 0 -> 682021 bytes code/sightpy/backgrounds/miramar.jpeg | Bin 0 -> 158851 bytes code/sightpy/backgrounds/panorama.py | 18 ++ code/sightpy/backgrounds/skybox.py | 57 +++++ code/sightpy/backgrounds/stormydays.png | Bin 0 -> 628565 bytes code/sightpy/backgrounds/util/__init__.py | 0 .../backgrounds/util/blur_background.py | 158 ++++++++++++ code/sightpy/camera.py | 52 ++++ code/sightpy/geometry/__init__.py | 13 + code/sightpy/geometry/collider.py | 17 ++ code/sightpy/geometry/cuboid.py | 145 +++++++++++ code/sightpy/geometry/plane.py | 81 ++++++ code/sightpy/geometry/primitive.py | 30 +++ code/sightpy/geometry/sphere.py | 52 ++++ code/sightpy/geometry/surface.py | 30 +++ code/sightpy/geometry/triangle.py | 77 ++++++ code/sightpy/geometry/triangle_mesh.py | 39 +++ code/sightpy/lights.py | 49 ++++ code/sightpy/materials/__init__.py | 7 + code/sightpy/materials/diffuse.py | 99 ++++++++ code/sightpy/materials/emissive.py | 23 ++ code/sightpy/materials/glossy.py | 91 +++++++ code/sightpy/materials/material.py | 34 +++ code/sightpy/materials/refractive.py | 85 +++++++ .../materials/thin_film_interference.py | 67 +++++ code/sightpy/normalmaps/floor.jpg | Bin 0 -> 33035 bytes code/sightpy/ray.py | 103 ++++++++ code/sightpy/scene.py | 114 +++++++++ code/sightpy/textures/__init__.py | 1 + code/sightpy/textures/checkered_floor.png | Bin 0 -> 31058 bytes code/sightpy/textures/noise.png | Bin 0 -> 64278 bytes code/sightpy/textures/texture.py | 38 +++ .../textures/thin_film_interference_n=1.3.png | Bin 0 -> 83190 bytes .../textures/thin_film_interference_n=1.4.png | Bin 0 -> 86762 bytes .../textures/thin_film_interference_n=1.5.png | Bin 0 -> 87718 bytes code/sightpy/textures/wood.jpg | Bin 0 -> 93182 bytes code/sightpy/utils/__init__.py | 0 code/sightpy/utils/colour_functions.py | 22 ++ code/sightpy/utils/constants.py | 5 + code/sightpy/utils/image_functions.py | 40 +++ code/sightpy/utils/random.py | 231 ++++++++++++++++++ code/sightpy/utils/vector3.py | 188 ++++++++++++++ code/sightpy_test.py | 130 ++++++++++ 51 files changed, 2170 insertions(+), 1 deletion(-) create mode 100644 code/__init__.py create mode 100644 code/output_ray_traced.png create mode 100644 code/scenes/EXAMPLE1.png create mode 100644 code/sightpy/__init__.py create mode 100644 code/sightpy/animation.py create mode 100644 code/sightpy/backgrounds/__init__.py create mode 100644 code/sightpy/backgrounds/lake.png create mode 100644 code/sightpy/backgrounds/lightmaps/lake.png create mode 100644 code/sightpy/backgrounds/miramar.jpeg create mode 100644 code/sightpy/backgrounds/panorama.py create mode 100644 code/sightpy/backgrounds/skybox.py create mode 100644 code/sightpy/backgrounds/stormydays.png create mode 100644 code/sightpy/backgrounds/util/__init__.py create mode 100644 code/sightpy/backgrounds/util/blur_background.py create mode 100644 code/sightpy/camera.py create mode 100644 code/sightpy/geometry/__init__.py create mode 100644 code/sightpy/geometry/collider.py create mode 100644 code/sightpy/geometry/cuboid.py create mode 100644 code/sightpy/geometry/plane.py create mode 100644 code/sightpy/geometry/primitive.py create mode 100644 code/sightpy/geometry/sphere.py create mode 100644 code/sightpy/geometry/surface.py create mode 100644 code/sightpy/geometry/triangle.py create mode 100644 code/sightpy/geometry/triangle_mesh.py create mode 100644 code/sightpy/lights.py create mode 100644 code/sightpy/materials/__init__.py create mode 100644 code/sightpy/materials/diffuse.py create mode 100644 code/sightpy/materials/emissive.py create mode 100644 code/sightpy/materials/glossy.py create mode 100644 code/sightpy/materials/material.py create mode 100644 code/sightpy/materials/refractive.py create mode 100644 code/sightpy/materials/thin_film_interference.py create mode 100644 code/sightpy/normalmaps/floor.jpg create 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