(camera died 19 minutes in!)

Slides: graphics.stanford.edu/courses/cs468-13-spring/assets/lecture1.pdf

1. Introduction
2. Differential Geometry of Curves
3. Discrete Curves
4. Surfaces I
5. Surfaces II
6. Discrete Surfaces
7. Extrinsic Curvature
8. Computing Curvature
9. Geodesic Computation
10. Intrinsic Geometry of Surfaces
11. Covariant Differentiation
12. Finite Elements and the Laplacian
13. Exterior Calculus
14. Discrete Exterior Calculus
15. Isometries, Rigidity, and Curvature
16. Isometry invariance and spectral techniques
17. Surface deformation: Theory
18. Surface Deformation: Practice
19. Conformal Geometry

In this course, taught by Adrian Butscher and Justin Solomon, we will present both continuous and discrete aspects of the differential geometry toolbox with an eye for applications in computer science. Differential geometry appears in a broad variety of applications, including graphics, medical imaging, vision, and learning. We will present parallel threads introducing concepts from the differential geometry of surfaces (curvature, deformation, differentiation, differential equations, mapping) and their corresponding discretizations and applications.

The only necessary background is math at the level of Math 52 and coding experience. Assignments will include some written problems and some Matlab programming.