CS 468 ( Spring 2013 ) — Discrete Differential Geometry

CS 468 ( Spring 2013 ) — Discrete Differential Geometry Lecture 10 : Computing Geodesics

Cs 468 Notes: Differential Geometry for Computer Science

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...

CS 15-869 Discrete Differential Geometry Introduction to Spin Transformation and its Application on Shape Descriptor

Numerical Treatment of Geodesic Differential Equations on Two Dimensional Surfaces

This paper presents a brief instructions to nd geodesics equa-tions on two dimensional surfaces in R3. The resulting geodesic equations are solved numerically using Computer Program Matlab, the geodesics are dis-played through Figures.

In Praise of Numerical Computation Dedicated to Kurt Mehlhorn on his 60th Birthday

Theoretical Computer Science has developed an almost exclusively discrete/algebraic persona. We have effectively shut ourselves off from half of the world of computing: a host of problems in Computational Science & Engineering (CS&E) are defined on the continuum, and, for them, the discrete viewpoint is inadequate. The computational techniques in such problems are well-known to numerical analys...