Approximation by planar elastic curves

被引：0
|
作者：
David Brander
Jens Gravesen
Toke Bjerge Nørbjerg
机构：
[1] Technical University of Denmark,Department of Applied Mathematics and Computer Science
来源：
Advances in Computational Mathematics | 2017年 / 43卷
关键词：
Euler elastica; Splines; Approximation; 41A15; 65D07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.
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页码：25 / 43
页数：18
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