CS 468 NOTES: DIFFERENTIAL GEOMETRY FOR COMPUTER SCIENCE
88 Citations•2013•
A. Debray
journal unavailable
This dissertation aims to provide a history of discrete geometry from its inception in 4/1/13 until 5/20/13, when it is concluded that isometries and Rigidity are no longer relevant.
Abstract
1. Overview: 4/1/13 1 2. Curves: 4/3/13 3 3. Discrete Curves: 4/8/13 5 4. The Definition of a Surface: 4/10/13 8 5. Surface Geometry: 4/15/13 9 6. Discrete Surfaces: 4/17/13 11 7. Extrinsic Curvature: 4/22/13 13 8. Computing Curvature: 4/24/13 14 9. Intrinsic Geometry: The Induced Metric and Geodesics : 4/29/13 17 10. 5/1/13 19 11. Covariant Differentiation: 5/6/13 19 12. Discrete Laplacians: 5/8/13 21 13. Tensors and Exterior Calculus: 5/13/13 23 14. Discrete Exterior Calculus: 5/15/13 25 15. Isometries and Rigidity: 5/20/13 27