论文信息 - A general subdivision theorem for Be´zier triangles

A general subdivision theorem for Be´zier triangles

Abstract The subdivision of Bezier triangles is studied from the viewpoint of multiaffine mappings. Using the principle that polynomials of degree n and symmetric n-affine maps are equivalent to each other, a theorem is derived that provides simultaneous closed form solutions for the various recursive algorithms due to Goldman [12]. From this, the major properties of subdivision algorithms for Bezier triangles are readily deduced.

H. P. Seidel

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