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保形闭圆弧样条插值的改进算法
引用本文:舒振宇,汪国昭.保形闭圆弧样条插值的改进算法[J].浙江大学学报(理学版),2006,33(2):142-148.
作者姓名:舒振宇  汪国昭
作者单位:浙江大学,数学系,图像图形研究所,浙江,杭州,310027
基金项目:中国科学院资助项目;科技部科研项目
摘    要:在CNC加工中,直线段和圆弧是加工路径的重要组成部分.而圆弧样条的段数和曲线的保形性,是比较重要而且富有实际意义的.提出了一种改进的G1圆弧样条保形插值算法,该算法在型值点列满足较弱的条件下,具有圆弧段数较少,并且保形的特点.

关 键 词:圆弧样条  插值  保形
文章编号:1008-9497(2006)02-142-07
收稿时间:2004-07-27
修稿时间:2004年7月27日

Improved close shape-preserving interpolation by circular arc
SHU Zhen-yu,WANG Guo-zhao.Improved close shape-preserving interpolation by circular arc[J].Journal of Zhejiang University(Sciences Edition),2006,33(2):142-148.
Authors:SHU Zhen-yu  WANG Guo-zhao
Institution:Department of Mathematics, Institute of Computer Graphics and Image Processing ,Zhejiang University, Hangzhou 310027,China
Abstract:In CNC machinery, NC tool paths are always made of circular and straight-line segments. The segment number of ares, and the shape-preserving property are usually important and practical. An improved G^1 shape pre serving arc interpolation algorithm under a weak condition is introduced, which can keep the shape of original data well and the segment number of circular arcs is less than that of data points.
Keywords:arc splines  interpolation  shape-preserving
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