### 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 language | English |
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Journal | Advances in Computational Mathematics |

Number of pages | 19 |

ISSN | 1019-7168 |

DOIs | |

Publication status | Published - 2016 |

### Keywords

- Euler elastica
- Splines
- Approximation