Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10335573 | Computer Aided Geometric Design | 2005 | 23 Pages |
Abstract
Cr macro-element spaces are constructed on polygonal domains with an arbitrary number of sides. The spaces consist of polynomial supersplines defined on triangulations which have been partially refined with Clough-Tocher splits. In addition to giving dimension formulae, minimal determining sets, and nodal bases, we derive error bounds for the corresponding Hermite interpolation operators. A number of examples are presented to show how the spaces can be used to fill n-sided holes.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Vera Rayevskaya, Larry L. Schumaker,