| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622082 | Journal of Mathematical Analysis and Applications | 2008 | 20 Pages |
Abstract
This paper is devoted to the study of triangular and quadrilateral surface subdivisions. Both approximation and interpolatory subdivision schemes are considered, with illustrative examples of both scalar-valued and matrix-valued and subdivision masks that satisfy the sum rule of sufficiently high orders. In particular, “optimal” Sobolev smoothness is determined and Hölder smoothness estimates are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
