The distance of a subdivision surface to its control polyhedron (Q1048973)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The distance of a subdivision surface to its control polyhedron |
scientific article; zbMATH DE number 5655033
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The distance of a subdivision surface to its control polyhedron |
scientific article; zbMATH DE number 5655033 |
Statements
The distance of a subdivision surface to its control polyhedron (English)
0 references
8 January 2010
0 references
The distances between surfaces which result from subdivision processes and their control polygons are investigated in this article. Bounds on the decay of the error between surface and polygon are established which allow to verify popular prediction methods for the aforementioned distance. Both sharp bounds and upper estimates are given in different cases.This is an important issue in implementations because it checks the approximation of the desired surface. Practical examples and generalizations are provided too.
0 references
subdivision surface
0 references
control polyhedron
0 references
convergence
0 references
distance
0 references
characteristic spline
0 references
lower bound
0 references
box-spline
0 references
0 references
0 references
0.8372336
0 references
0.8273224
0 references
0 references
0.8120655
0 references
0.8102639
0 references
