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Dual bases for Wang-Bézier basis and their applications |
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| Authors: | Li Zhang Hongyi Wu Jieqing Tan |
| Institution: | a Department of Mathematics, Hefei University of Technology, Hefei Anhui 230009, China b College of Computer and Information, Hefei University of Technology, Hefei Anhui 230009, China c Department of Common Courses, Anhui Xinhua College, Hefei Anhui 230088, China |
| Abstract: | This paper presents the dual bases for Wang-Bézier curves with a position parameter L, which include Bézier curve, Wang-Ball curve and some intermediate curves. The Marsden identity and the transformation formulas from Bézier curve to Wang-Bézier curve are also given. These results are useful for the application of Wang-Bézier curve and their popularization in Computer Aided Geometric Design. |
| Keywords: | Wang-Bé zier basis Dual basis Marsden identity Bé zier curve Position parameter |
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