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On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces

✍ Scribed by Xu, Huixia; Wang, Renfang; Shu, Zhenyu; Xu, Aimin


Book ID
122133279
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
217 KB
Volume
182
Category
Article
ISSN
0021-9045

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Tensor product Bézier surfaces on triang
✍ Dieter Lasser 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 266 KB

An explicit formula as well as a geometric algorithm are given for converting a rectangular subpatch of a triangular Bézier surface into a tensor product Bézier representation. Based on de Casteljau recursions and convex combinations of combinatorial constants, both formula and algorithm are numeric