| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 440623 | Computer Aided Geometric Design | 2013 | 13 Pages |
Abstract
We investigate univariate and bivariate binary subdivision schemes based on cubic B-splines with double knots. It turns out that double knots change the behaviour of a uniform cubic scheme from primal to dual. We focus on the analysis of new bivariate cubic schemes with double knots at extraordinary points. These cubic schemes produce C1C1 surfaces with the original Doo–Sabin weights.
► We investigate univariate and bivariate cubic subdivision schemes. ► Double knots change the behaviour of a uniform cubic scheme from primal to dual. ► We analyse new bivariate cubic schemes with double knots at extraordinary points. ► These cubic schemes produce C1C1 surfaces with the original Doo–Sabin weights.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Jiří Kosinka, Malcolm Sabin, Neil Dodgson,