Stanford CS248A, Winter 2023
Computer Graphics:
Rendering, Geometry, and Image Manipulation
This course provides a comprehensive introduction to computer graphics, focusing on fundamental concepts and techniques, as well as their crosscutting relationship to multiple problem domains in interactive graphics (such as rendering, geometry, image processing). Topics include: 2D and 3D drawing, sampling, interpolation, rasterization, image compositing, the GPU graphics pipeline (and parallel rendering), geometric transformations, curves and surfaces, geometric data structures, subdivision, meshing, spatial hierarchies, image processing, and image compression.
Basic Info
Time: Tues/Thurs 1:302:50am
Location: Gates B1
Instructor: Kayvon Fatahalian
See the course info page for more info on policies and logistics.
Winter 2023 Schedule
Jan 10 

A look at the breadth of graphics applications, simple drawing of lines

Jan 12 

Drawing a triangle via point sampling, pointintriangle testing, aliasing, Fourier interpretation of aliasing, antialiasing

Jan 17 

Definition of linear transforms, basic geometric transforms, homogeneous coordinates, transform hierarchies, perspective projection

Jan 19 

Texture coordinate space, bilinear/trilinear interpolation, how aliasing arises during texture sampling, prefiltering as an antialiasing technique

Jan 24 

Zbuffer algorithm, image compositing, endtoend 3D graphics pipeline as implemented by modern GPUs

Jan 26 

Properties of surfaces (manifold, normal, curvature), implicit vs. explicit representations, basic representations such as triangle meshes, bezier curves and patches

Jan 31 

Halfedge mesh structures, mesh operations such as tessellation and simplification

Feb 02 

Closest point, raytriangle intersection, raymesh intersection, the relationship between rasterization and ray tracing

Feb 07 

Acceleration structures such as bounding volume hierarchies, KD trees, uniform grids

Feb 09 

Definition of radiometric quantities, the light field, BRDFs, light transport via reflection, integrating energy reflecting from surfaces

Feb 14 

Numerical estimation of illumination, Monte Carlo integration and its application to ray tracing

Feb 16 

Estimating direct lighting due to various types of light sources and BRDFs

Feb 21 

Brute force path tracing, Russian roulette, challenges of variance

Feb 23 

Shadow mapping, reflections, ambient occlusion, precomputed lighting, deferred shading, realtime raytracing trends and innovations

Feb 28 

How the eye works, representing color, brightness, and chromaticity

Mar 02 

nonlinear encodings, chroma subsampling, JPG image compression

Mar 07 

image filtering via convolution (sharpening/blurring), datadependent filters, Gaussian and Laplacian pyramids

Mar 09 

VR Headset hardware, how headmounted displays cause challenges for renderers, resolution and latency requirements, judder, foveated rendering

Mar 14 

Design of modern GPUs, how rendering is parallelized onto GPUs

Mar 16 

Course wrap up, discussion of ongoing graphics research at Stanford

Programming Assignments
Jan 26  Assignment 1: Write Your own SVG Renderer 
Feb 10  Assignment 2: MeshEdit: A Mini 3D Triangle Mesh Editor 
Feb 27  Assignment 3: Path Tracer or Lighting and Materials In GLSL (student choice) 
Mar 21  Selfselected Final Project 
Practice Exercises
One written practice exercise per week, graded on a credit/no credit basis.
Jan 18  Practice Exercise 1 
Jan 25  Practice Exercise 2 
Feb 1  Practice Exercise 3 
Feb 8  Practice Exercise 4 
Feb 15  Practice Exercise 5 
Feb 22  Practice Exercise 6 
Mar 1  Practice Exercise 7 
Practice Exercise 8 