A New Proof for the Convexity of the Bernstein-Bezier Surfaces over Triangles
Citation:
Chang Gengzhe,Feng Yuyu.A New Proof for the Convexity of the Bernstein-Bezier Surfaces over Triangles[J].Chinese Annals of Mathematics B,1985,6(2):171~176
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Authors:
Chang Gengzhe; Feng Yuyu
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.