### Abstract

We present an algorithm for designing interactively with C1 elastic splines. The idea is to design the elastic spline using a C1 cubic polynomial spline where each polynomial segment is so close to satisfying the Euler-Lagrange equation for elastic curves that the visual difference becomes negligible. Using a database of cubic Bézier curves we are able to interactively modify the cubic spline such that it remains visually close to an elastic spline.

Original language | English |
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Journal | Computer-Aided Geometric Design |

Volume | 62 |

Pages (from-to) | 181-191 |

Number of pages | 11 |

ISSN | 0167-8396 |

DOIs | |

Publication status | Published - 2018 |

### Keywords

- Elastic curves
- Cubic splines
- Computer-aided design
- Hot-blade cutting