About: Hermite interpolation by hypocycloids and epicycloids with rational offsets     Goto   Sponge   NotDistinct   Permalink

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Description
  • We show that all rational hypocycloids and epicycloids are curves with Pythagorean normals and thus have rational offsets. Then, exploiting the convolution properties and (implicit) support function representation of these curves, we design an efficient algorithm for G1 Hermite interpolation with their arcs. We show that for all regular data, there is a unique interpolating hypocycloidal or epicycloidal arc of the given canonical type.
  • We show that all rational hypocycloids and epicycloids are curves with Pythagorean normals and thus have rational offsets. Then, exploiting the convolution properties and (implicit) support function representation of these curves, we design an efficient algorithm for G1 Hermite interpolation with their arcs. We show that for all regular data, there is a unique interpolating hypocycloidal or epicycloidal arc of the given canonical type. (en)
Title
  • Hermite interpolation by hypocycloids and epicycloids with rational offsets
  • Hermite interpolation by hypocycloids and epicycloids with rational offsets (en)
skos:prefLabel
  • Hermite interpolation by hypocycloids and epicycloids with rational offsets
  • Hermite interpolation by hypocycloids and epicycloids with rational offsets (en)
skos:notation
  • RIV/49777513:23520/10:00503472!RIV11-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 261427
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/10:00503472
http://linked.open...riv/jazykVysledku
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  • Hypocycloids; Epicycloids; Pythagorean hodograph curves; Rational offsets; Support function; Hermite interpolation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [34999AD39BFA]
http://linked.open...i/riv/nazevZdroje
  • Computer Aided Geometric Design
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 27
http://linked.open...iv/tvurceVysledku
  • Bastl, Bohumír
  • Lávička, Miroslav
  • Šír, Zbyněk
http://linked.open...n/vavai/riv/zamer
issn
  • 0167-8396
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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