CENG 515

Numerical Methods for Computer Graphics

In this course, recent advances in computer graphics and fundamental topics in numerical methods for computer graphics are discussed.

Course Objectives

1. To examine inspiring topics in computer graphics

2. To search open subjects in popular research fields in computer graphics

3. To obtain the basic literacy in numerical methods

Recommended or Required Reading

Numerical Recipes – The Art of Scientific Computing – 3rd Edition by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery.
Numerical Algorithms – Methods for Computer Vision, Machine Learning, and Graphics by Justin Solomon.

Learning Outcomes

1. To learn fundamental numerical methods for computer graphics

2. To read and discuss recent research outputs

3. Use modern computer graphics technologies for applying the numerical methods

4. To build innovative and creative thinking

Topics
Root finding methods
Implicit Surfaces, Signed Distance Fields, Neural Implicits
Sphere Tracing
Interval Arithmetic
Fast marching methods
Monte Carlo Methods