Approximation by planar elastic curves

被引：5

作者：

Brander, David ^{[1
]}

Gravesen, Jens ^{[1
]}

Norbjerg, Toke Bjerge ^{[1
]}

机构：

[1] Tech Univ Denmark, Dept Appl Math & Comp Sci, Bldg 303 B, DK-2800 Lyngby, Denmark

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2017年 / 43卷 / 01期

关键词：

Euler elastica; Splines; Approximation;

D O I：

10.1007/s10444-016-9474-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：25 / 43

页数：19

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