About: C-2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation     Goto   Sponge   NotDistinct   Permalink

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Description
  • We describe and fully analyze an algorithm for C-2 Hermite interpolation by Pythagorean hodograph curves of degree 9 in Minkowski space R-2,R-1. We show that for any data there exists a four-parameter system of interpolants and we identify the one which preserves symmetry and planarity of the input data and which has the optimal approximation degree. The new algorithm is applied to an efficient approximation of segments of the medial axis transform of a planar domain leading to rational parameterizations of the offsets of the domain boundaries with a high order of approximation.
  • We describe and fully analyze an algorithm for C-2 Hermite interpolation by Pythagorean hodograph curves of degree 9 in Minkowski space R-2,R-1. We show that for any data there exists a four-parameter system of interpolants and we identify the one which preserves symmetry and planarity of the input data and which has the optimal approximation degree. The new algorithm is applied to an efficient approximation of segments of the medial axis transform of a planar domain leading to rational parameterizations of the offsets of the domain boundaries with a high order of approximation. (en)
Title
  • C-2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation
  • C-2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation (en)
skos:prefLabel
  • C-2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation
  • C-2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation (en)
skos:notation
  • RIV/00216208:11320/10:10051963!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/08/0486), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 8
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
  • 252785
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/10:10051963
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Minkowski Pythagorean hodograph curves; Hermite interpolation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [0DC260B0B2A0]
http://linked.open...i/riv/nazevZdroje
  • Computer Aided Geometric Design
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...v/svazekPeriodika
  • 27
http://linked.open...iv/tvurceVysledku
  • Kosinka, Jiří
  • Šír, Zbyněk
http://linked.open...ain/vavai/riv/wos
  • 000283914000006
http://linked.open...n/vavai/riv/zamer
issn
  • 0167-8396
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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