菱形递推算法

RHOMBUS STRUCTURE FOR RECURSIVE EVALUATION ALGORITHM

本文的主要结果是提出了菱形结构,构造出广义的Ball样条曲线和曲面,给出它们的任意阶升阶公式,并证明了变差缩减性质。

This paper presented another rhombus recursive evaluation algorithm structure for constructing curve known as generalized Ball-spline curve. Relationship between the rhombus structure and evaluation of arbitary degree raising is shown, variation diminishing properity is proved again based on rhombus structure. Space structure for generating generalized Ball-spline surface over a triangle is also considered.