| A NEW PROOF FOR THE CONVEXITY OF THE BERNSTEIN-BEZIER SURFACES OVER TRIANGLES |
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| 作者姓名： | Chang Gengzhe Feng Yuyu |
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| 作者单位： | Department of Mathematics University of Science and Technology of China，Department of Mathematics University of Science and Technology of China，Hefei Anhui China.，Hefei Anhui China. |
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| 摘 要： | A neceassary and sufficient condition for the convexity of the Bezier net is presented'The convex Bezier net implies the convexity of the corresponding Bernstein-Bezier surfaceover triangles', a theorem established by Chang Geng-zhe and Philip J. Davis, is reprovedby a new approach.
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| 收稿时间： | 1983/2/24 0:00:00 |
A New Proof for the Convexity of the Bernstein-Bezier Surfaces over Triangles |
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| Chang Gengzhe,Feng Yuyu.A NEW PROOF FOR THE CONVEXITY OF THE BERNSTEIN-BEZIER SURFACES OVER TRIANGLES[J].Chinese Annals of Mathematics,Series B,1985,6(2):171-176. |
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| Authors: | Chang Gengzhe and Feng Yuyu |
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| Institution: | Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China. and Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China. |
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| Abstract: | A necessary and sufficient condition for the convexity of the Bdzier net is presented ''The convex Bdzier net implies the convexity of the corresponding Bernstein-Bezier surface over triangles'', a theorem established by Chang G-eng-zhe and Philip J. Davis, is reproved by a new approach. |
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