Approximation by planar elastic curves

David Brander, Jens Gravesen, Toke Bjerge Nørbjerg

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Abstract

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.
Original languageEnglish
JournalAdvances in Computational Mathematics
Number of pages19
ISSN1019-7168
DOIs
Publication statusPublished - 2016

Keywords

  • Euler elastica
  • Splines
  • Approximation

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