Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607667 | Journal of Approximation Theory | 2011 | 22 Pages |
Abstract
For any subdivision scheme, we define its de Rham transform, which generalizes the de Rham and Chaikin corner cutting. The main property of the de Rham transform is that it preserves a sum rule. This allows comparison of the Hölder regularity of a given subdivision scheme with that of its de Rham transform. A graphical comparison is made for three different families of subdivision schemes, the last one being the generalized four-point scheme.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Serge Dubuc,