扰动约束和最佳平方逼近的B样条曲线的降阶

Degree Reduction of B-Spline Curves Using Perturbations Constraint and Least Squares Approximation

摘要: 将扰动约束技术应用于Bézier曲线的降阶给出了理想的结果.讨论了将这类方法应用于B样条曲线降阶时结果不理想的原因,提出了采用最佳平方逼近技术对B样条曲线做降阶运算的方法;并用实例对该方法和基于扰动约束的降阶方法进行了比较.

Abstract: The technique of perturbations constraint when applied to degree reduction of Bézier curves gives fairly well results.This paper discusses why these kind of technique have limitation when applied to B-spline curves,and the least squares approximation approach is presented for reducing the degree of B-spline curves.Examples comparing the new method with existing ones are illustrated.