Designing interactively with elastic splines

David Brander, Jakob Andreas Bærentzen, Ann-Sofie Fisker*, Jens Gravesen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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 languageEnglish
JournalComputer-Aided Geometric Design
Volume62
Pages (from-to)181-191
Number of pages11
ISSN0167-8396
DOIs
Publication statusPublished - 2018

Keywords

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

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