Triangular domain extension of algebraic trigonometric Bézier-like basis |
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Authors: | Yong-wei Wei Wan-qiang Shen Guo-zhao Wang |
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Institution: | [1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Department of Applied Mathematics, Shanghai Maritime University, Shanghai 201306, China |
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Abstract: | In computer aided geometric design (CAGD), Bézier-like bases receive more and more considerations as new modeling tools in
recent years. But those existing Bézier-like bases are all defined over the rectangular domain. In this paper, we extend the
algebraic trigonometric Bézier-like basis of order 4 to the triangular domain. The new basis functions defined over the triangular
domain are proved to fulfill non-negativity, partition of unity, symmetry, boundary representation, linear independence and
so on. We also prove some properties of the corresponding Bézier-like surfaces. Finally, some applications of the proposed
basis are shown. |
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Keywords: | CAGD free form modeling blended space basis function triangular domain Bernstein basis |
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