Bernstein-Bézier polynomials on spheres and sphere-like surfaces

نویسندگان

  • Peter Alfeld
  • Marian Neamtu
  • Larry L. Schumaker
چکیده

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

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 13  شماره 

صفحات  -

تاریخ انتشار 1996