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  • This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative model\-ling techniques. Using the universal formula for planar RCL curves, we design a simple $G^1$~Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples.
  • This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative model\-ling techniques. Using the universal formula for planar RCL curves, we design a simple $G^1$~Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples. (en)
Title
  • Smooth Curves Approximation By Chord-Length Curves
  • Smooth Curves Approximation By Chord-Length Curves (en)
skos:prefLabel
  • Smooth Curves Approximation By Chord-Length Curves
  • Smooth Curves Approximation By Chord-Length Curves (en)
skos:notation
  • RIV/49777513:23520/12:43898693!RIV13-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0090)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 168641
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/12:43898693
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Rational curves, rational chord length parameterizations, Hermite interpolation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A4F22B37E24F]
http://linked.open...v/mistoKonaniAkce
  • Bratislava
http://linked.open...i/riv/mistoVydani
  • Bratislava
http://linked.open...i/riv/nazevZdroje
  • Aplimat 2012 - Proceedings of the International Conference
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Bastl, Bohumír
  • Lávička, Miroslav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Faculty of Mechanical Engineering, STU Bratislava
https://schema.org/isbn
  • 978-80-89313-58-7
http://localhost/t...ganizacniJednotka
  • 23520
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