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A new proof for the convexity of the Bernstein-Bézier surfaces over triangles - MaRDI portal

A new proof for the convexity of the Bernstein-Bézier surfaces over triangles (Q1064481)

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scientific article; zbMATH DE number 3918987
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A new proof for the convexity of the Bernstein-Bézier surfaces over triangles
scientific article; zbMATH DE number 3918987

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    A new proof for the convexity of the Bernstein-Bézier surfaces over triangles (English)
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    1985
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    A necessary and sufficient condition for the convexity of the Bézier net is presented 'The convex Bézier net implies the convexity of the corresponding Bernstein-Bézier surface over triangles', a theorem established by the first author and Philip J. Davis, is re-proved by a new approach.
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    Bézier net
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    Bernstein-Bézier surface
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