Any segment between two points on a BCzier curve is itself a Bezier curve whose BCzier polygon is expressed explicitly in terms of the sides of the BCzier polygon associated with the original curve.
Generalized Subdivision of Bézier Surfaces
✍ Scribed by Shi-Min Hu; Guo-Zhao Wang; Tong-Guang Jin
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 220 KB
- Volume
- 58
- Category
- Article
- ISSN
- 1077-3169
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, subdivision methods for rectangular Be ´zier
A rectangular Be ´zier surface of degree n ϫ m can be surfaces are generalized to subdivide a rectangular Be ´zier surface patch of degree n ؋ m into two rectangular Be ´zier sur-represented by face patches of degree n ؋ (m ؉ n), while the parameter domain of the Be ´zier surface is decomposed into two trapezoids. As an application, a conversion from rectangular Be ´zier sur-
faces to triangular Be ´zier surfaces is presented.
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