应用增量法生成非均匀B样条曲线曲面  

A Fast Algorithm for Nonuniform B-spline Curves and Surfaces by Incremental Method

作　　者：丁小星[1] 潘日晶[1,2] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007 [2]福建师范大学网络安全与密码技术重点实验室,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2010年第2期38-46,共9页Journal of Fujian Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60673014)

摘　　要：应用基于展开的增量法生成非均匀B样条曲线曲面以及NURBS曲线,给出一个较简单高效的算法.此算法仅在初始化时进行乘除运算而后均为加法迭代,相较于deBoor算法效率更高.Propose a fast and simple algorithm for the generation of nonuniform B-spline curves and surfaces as well as NURBS curves by incremental method based on Tailor series expansion. The algorithm only involves addition operation except for the initialization step. It is more efficient compared with deBoor algorithm.

关 键 词：非均匀B样条 NURBS曲线 增量方法 Tailor展开 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]