| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4631209 | Applied Mathematics and Computation | 2010 | 14 Pages |
Abstract
A unifying representation for the existing generalized Ball bases and the Bernstein bases are given. Then the dual bases for the Bézier–Said–Wang type generalized bases (BSWGB for short) are presented. The Marsden identity and the mutual transformation formulas between Bézier curve and Bézier–Said–Wang type generalized curve (BSWGB curve) are also given. These results are very useful for the applications of BSWGB curves and their popularization in CAGD. Numerical examples are also given to show the effectiveness of our methods.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Li Zhang, Jieqing Tan, Zhiyuan Dong,