期刊
CONSTRUCTIVE APPROXIMATION
卷 37, 期 1, 页码 41-72出版社
SPRINGER
DOI: 10.1007/s00365-011-9151-x
关键词
Smooth Powell-Sabin splines; Normalized B-splines; Macro-elements; Control points; Control polynomials; Bernstein-Bezier form
类别
We construct a suitable B-spline representation for a family of bivariate spline functions with smoothness ra parts per thousand yen1 and polynomial degree 3r-1. They are defined on a triangulation with Powell-Sabin refinement. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction involves the determination of triangles that must contain a specific set of points. We further consider a number of CAGD applications. We show how to define control points and control polynomials (of degree 2r-1), and we provide an efficient and stable computation of the Bernstein-B,zier form of such splines.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据