Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522929 | Journal of Computational Physics | 2007 | 16 Pages |
Abstract
We present a new method for computing the curvature-driven motion of a curve constrained to move on a given surface. It is based on the Diffusion Generated Motion algorithm, and retains both the novel simplicity of that method, as well as the natural extension to curves with junctions, to general geometric motion laws, and to higher dimensions. The result is an extremely simple algorithm for curvature-dependent motion on surfaces, wherein the only evolution operation is linear diffusion in three-dimensional Euclidean space.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Barry Merriman, Steven J. Ruuth,