Optimal multi-degree reduction of Bézier curves with constraints of endpoints continuity
✍ Scribed by Guo-Dong Chen; Guo-Jin Wang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 126 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0167-8396
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Given a triangular Bézier surface of degree n, the problem of multi-degree reduction by a triangular Bézier surface of degree m with boundary constraints is investigated. This paper considers the continuity of triangular Bézier surfaces at the three corners, so that the boundary curves preserve endp
This paper derives an approximation algorithm for multi-degree reduction of a degree n triangular Bézier surface with corners continuity in the norm L 2 . The new idea is to use orthonormality of triangular Jacobi polynomials and the transformation relationship between bivariate Jacobi and Bernstein