论文信息 - Bernstein-Bézier polynomials on spheres and sphere-like surfaces

Bernstein-Bézier polynomials on spheres and sphere-like surfaces

Abstract In this paper we discuss a natural way to define barycentric coordinates on general sphere-like surfaces. This leads to a theory of Bernstein-Bezier polynomials which parallels the familiar planar case. Our constructions are based on a study of homogeneous polynomials on trihedra in R 3. The special case of Bernstein-Bezier polynomials on a sphere is considered in detail.

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