Triangles

Spatial Transformations

Sampling

3D Rotations

Complex Transformations

Perspective Projection

Texture Mapping

Occlusion

Geometry

Meshes and Manifolds

Digital Geometry Processing

Geometric Queries

Spatial Data Structures

Color

Radiometry

Rendering Equation

Numerical Integration

Monte Carlo Rendering

Variance Reduction

Animation

Dynamics and Time Integration

Optimization in Graphics

Physically-Based Animation

Partial Differential Equations (PDEs)

15-462/662 Computer Graphics Carnegie Mellon University Fall 2020 This is an intensive course on computer graphics, covering a variety of topics such as rendering, animation, and imaging. It requires previous knowledge in vector calculus, linear algebra, and C/C++ programming. Concepts include ray tracing, radiometry, and geometric optics, among others. This course provides a comprehensive introduction to computer graphics. It focuses on fundamental concepts and techniques, and their cross-cutting relationship to multiple problem domains in graphics (rendering, animation, geometry, imaging). Topics include: sampling, aliasing, interpolation, rasterization, geometric transformations, parameterization, visibility, compositing, filtering, convolution, curves & surfaces, geometric data structures, subdivision, meshing, spatial hierarchies, ray tracing, radiometry, reflectance, light fields, geometric optics, Monte Carlo rendering, importance sampling, camera models, high-performance ray tracing, differential equations, time integration, numerical differentiation, physically-based animation, optimization, numerical linear algebra, inverse kinematics, Fourier methods, data fitting, example-based synthesis.  Course prerequisites are (15-213, 21-259, and 21-240) or (15-213, 21-259, and 21-241) or (18-213 and 18-202). Basic vector calculus and linear algebra will be an important component of this course. Previous exposure to basic programming in C/C++ or similar languages is very helpful as course programming assignments will involve significant implementation effort. There is no required textbook for 15-462, though a variety of books may provide good supplementary material:

Pete Shirley and Steve Marschner with Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, and Bryan Wyvill
**Fundamentals of Computer Graphics**. A K Peters, 2009
[[ On Amazon ]](http://www.amazon.com/Fundamentals-Computer-Graphics-Peter-Shirley/dp/1568814690)

John F. Hughes, Andries van Dam, Morgan McGuire, David F. Sklar, James D. Foley, Steven K. Feiner, and Kurt Akeley
**Computer Graphics: Principles and Practice**
[[ On Amazon ]](http://www.amazon.com/Computer-Graphics-Principles-Practice-3rd/dp/0321399528/ref=sr_1_2?s=books&ie=UTF8&qid=1440872554&sr=1-2&keywords=foundations+of+3d+computer+graphics)

Matt Pharr and Greg Humphreys
**Physically Based Rendering: From Theory to Implementation**
[[ On Amazon ]](http://www.amazon.com/gp/product/0123750792?ie=UTF8&tag=pharr-20&linkCode=as2&camp=1789&creative=390957&creativeASIN=0123750792)

This book (PBRT) is the book for learning about modern ray tracing techniques. It has a [great website](http://www.pbrt.org/) with full source code online for an advanced physically-based ray tracer. It even won an [oscar](https://www.youtube.com/watch?v=7d9juPsv1QU) for its impact on the film industry!

15-462/662 Computer Graphics

Computer Graphics

Ray Tracing

Recursive Ray Tracing

Optics

Shading

Global Illumination

Advanced Rendering

Photon Mapping

Geometric Modeling

CS 148 Introduction to Computer Graphics and Imaging Stanford University Fall 2022 This course is an introductory one in computer graphics, focusing on synthetic computer-generated images creation. It starts with basic concepts and moves to more complex subjects like BRDF and ray tracing technology. A final project involves building a ray tracer.  This is the introductory prerequisite course in the computer graphics sequence which introduces students to the technical concepts behind creating synthetic computer generated images. The beginning of the course focuses on using Blender to create visual imagery, as well as an understanding of the underlying mathematical concepts including triangles, normals, interpolation, texture mapping, bump mapping, etc. Then we move on to a more fundamental understanding of light and color, as well as how it impacts computer displays and printers. From this we discuss more thoroughly how light interacts with the environment, and we construct engineering models such as the BRDF and discuss various simplifications into more basic lighting and shading models. Finally, we discuss ray tracing technology for creating virtual images, while drawing parallels between ray tracers and real world cameras in order to illustrate various concepts. Anti-aliasing and acceleration structures are also discussed. The final class project consists of building out a ray tracer to create a visually compelling image. Starter codes and code bits will be provided here and there to aid in development, but this class focuses on what you can do with the code as opposed to what the code itself looks like. Therefore grading is weighted towards in person "demos" of the code in action - creativity and the production of impressive visual imagery are highly encouraged. Prerequisites: CS 107, MATH 51.

This is the first course in the computer graphics sequence at Stanford. The second course is CS248 and requires this course, CS 148, as a prerequisite. Topics include: Scanline Rendering; Triangles; Rasterization; Transformations; Shading; Triangle Meshes; Subdivision; Marching Cubes; Textures; Light; Color; Cameras; Displays; Tone Mapping; BRDF; Lighting Equation; Global Illumination; Radiosity; Ray Tracing; Acceleration Structures; Sampling; Antialiasing; Reflection; Transmission; Depth of Field; Motion Blur; Monte Carlo; Bidirectional Ray Tracing; Light Maps.  - CS 107, MATH 51
- Must be fluent in Python.
- We will assume knowledge of the following mathematical topics
    - Vectors, vector operations, and vector spaces
    - Matrices
    - Basic linear algebra, such as solving a system of linear equations 

CS 148 Introduction to Computer Graphics and Imaging

Complex Representations

Depth

Transparency

Geometry Processing

Monte Carlo Ray Tracing

Pathtracer

15-462/662 Computer Graphics Carnegie Mellon University Spring 2022 Similar to Course ID 29, this course provides a comprehensive introduction to computer graphics. It also demands a strong mathematical and programming background. The topics covered include rasterization, geometric transformations, and Monte Carlo ray tracing.  This course provides a comprehensive introduction to computer graphics. It focuses on fundamental concepts and techniques, and their cross-cutting relationship to multiple problem domains in graphics (rendering, animation, geometry, imaging). Topics include: sampling, aliasing, interpolation, rasterization, geometric transformations, parameterization, visibility, compositing, filtering, convolution, curves & surfaces, geometric data structures, subdivision, meshing, spatial hierarchies, ray tracing, radiometry, reflectance, light fields, geometric optics, Monte Carlo rendering, importance sampling, camera models, high-performance ray tracing, differential equations, time integration, numerical differentiation, physically-based animation, optimization, numerical linear algebra, inverse kinematics, Fourier methods, data fitting, example-based synthesis  Course prerequisites are (15-213, 21-259, and 21-240) or (15-213, 21-259, and 21-241) or (18-213 and 18-202). Basic vector calculus and linear algebra will be an important component of this course. Previous exposure to basic C/C++ programming is very helpful as course programming assignments will involve significant implementation effort. There is no required textbook for 15-462, though a variety of books may provide good supplementary material:

Steve Marschner and Pete Shirley
Fundamentals of Computer Graphics. A K Peters, 2021
[ On Amazon ](https://www.amazon.com/Fundamentals-Computer-Graphics-Steve-Marschner-dp-0367505037/dp/0367505037/ref=dp_ob_title_bk)

John F. Hughes, Andries van Dam, Morgan McGuire, David F. Sklar, James D. Foley, Steven K. Feiner, and Kurt Akeley
Computer Graphics: Principles and Practice
[ On Amazon ](http://www.amazon.com/Computer-Graphics-Principles-Practice-3rd/dp/0321399528/ref=sr_1_2?s=books&ie=UTF8&qid=1440872554&sr=1-2&keywords=foundations+of+3d+computer+graphics)

Matt Pharr and Greg Humphreys
Physically Based Rendering: From Theory to Implementation
[ On Amazon ](https://www.amazon.com/Physically-Based-Rendering-Theory-Implementation/dp/0128006455/ref=dp_ob_title_bk)

This book (PBRT) is the book for learning about modern ray tracing techniques. It has a [great website](http://www.pbrt.org/) with full source code online for an advanced physically-based ray tracer. The [textbook](http://www.pbr-book.org/) is online as well. It even won an [oscar](https://www.youtube.com/watch?v=7d9juPsv1QU) for its impact on the film industry!

Triangle

Triangles

3 courses cover this concept

15-462/662 Computer Graphics

CS 148 Introduction to Computer Graphics and Imaging

15-462/662 Computer Graphics