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Riemannian Geometry
- Publisher
- Association for Computing Machinery
- Copyright
- Copyright © 2006 by ACM Inc.
- ISSN
- 0730-0301
- DOI
- 10.1145/1138450.1138459
- Publisher site
- See Article on Publisher Site
Abstract
This article demonstrates the definition of subdivision processes in nonlinear geometries such that smoothness of limits can be proved. We deal with curve subdivision in the presence of obstacles, in surfaces, in Riemannian manifolds, and in the Euclidean motion group. We show how to model kinematic surfaces and motions in the presence of obstacles via subdivision. As to numerics, we consider the sensitivity of the limit's smoothness to sloppy computing.
Journal
ACM Transactions on Graphics (TOG) – Association for Computing Machinery
Published: Apr 1, 2006