Designing interactively with elastic splines

Publication: Research - peer-reviewJournal article – Annual report year: 2018

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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
StatePublished - 2018
CitationsWeb of Science® Times Cited: 0

    Keywords

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