A new approach for approximate implicitization of parametric curves

被引：1
|
作者：
Wu, Jinming [1 ]
Zhang, Xiaolei [1 ]
机构：
[1] Zhejiang Gongshang Univ, Coll Stat & Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2014年 / 33卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Approximate implicitization; Parametric curves; MQ quasi-interpolation; Radial basis functions; INTERPOLATION;
D O I：
10.1007/s40314-013-0069-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new approach to solve approximate implicitization of parametric curves. The basic idea is to divide the normal parametric curve into several curve segments at three types of critical points and then use multiquadric quasi-interpolation to approximate each curve segment. Meanwhile, we interpolate two endpoints of each segment using compactly supported radial basis functions in order to maintain the continuity of the adjacent curve segments. The resulting implicit curves possess certain shape preserving and good approximation behaviors.
引用
收藏
页码：399 / 409
页数：11
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