Bernstein-Bézier polynomials on spheres and sphere-like surfaces Original Research Article

In this paper we discuss a natural way to define barycentric coordinates on general sphere-like surfaces. This leads to a theory of Bernstein-Bézier polynomials which parallels the familiar planar case. Our constructions are based on a study of homogeneous polynomials on trihedra in R3. The special case of Bernstein-Bézier polynomials on a sphere is considered in detail.