Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419343 | Journal of Mathematical Analysis and Applications | 2012 | 16 Pages |
Abstract
We propose to extend the corner cutting subdivision schemes from refining control points to refining control curves. Such schemes are relevant to the design of a surface by a family of curves. Our schemes replace averages between two consecutive control points by similar weighted averages between two consecutive curves, based on a geometric correspondence between points on the two curves. We show that the schemes converge under mild conditions on the initial control curves, and derive properties of the limit.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Uri Itai, Nira Dyn,