An extension algorithm for B-splines by curve unclamping

被引：42

作者：

Hu, SM ^{[1
]}

Tai, CL

Zhang, SH

机构：

[1] Tsing Hua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China

[2] Hong Kong Univ Sci & Technol, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China

来源：

COMPUTER-AIDED DESIGN | 2002年 / 34卷 / 05期

基金：

中国国家自然科学基金; 日本学术振兴会;

关键词：

B-spline curve; extension; de Boor algorithm;

D O I：

10.1016/S0010-4485(01)00108-7

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper presents an algorithm for extending B-spline curves and surfaces. Based on the unclamping algorithm for B-spline curves, we propose a new algorithm for extending B-spline curves that extrapolates using the recurrence property of the de Boor algorithm. This algorithm provides a nice extension, with maximum continuity, to the original curve segment. Moreover, it can be applied to the extension of B-spline surfaces. Extension to both single and multiple target points/curves are considered in this paper. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：415 / 419

页数：5