Transformations between rectangular and triangular patches in Bezier form
✍ Scribed by Hua Li; Shenquan Liu
- Book ID
- 112947738
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 258 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1000-9000
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This paper presents an explicit formula that converts a triangular Bézier patch of degree n to a degenerate rectangular Bézier patch of degree n × n by reparametrization. Based on this formula, we develop a method for approximating a degenerate rectangular Bézier patch by three nondegenerate Bézier
Necessary and sufficient conditions for geometric C 7 continuity (GC 7) that cover all the four combinations between rectangular and triangular B6zier surface patches are presented. Further, some more practical sufficient conditions are developed. The GC ~ conditions in several special cases might b