Approximation by planar elastic curves

David Brander, Jens Gravesen, Toke Bjerge Nørbjerg

Research output: Contribution to journalJournal articleResearchpeer-review

539 Downloads (Pure)


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
Publication statusPublished - 2016


  • Euler elastica
  • Splines
  • Approximation


Dive into the research topics of 'Approximation by planar elastic curves'. Together they form a unique fingerprint.

Cite this