About: Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.     Goto   Sponge   NotDistinct   Permalink

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Description
  • The Tschirnhausen cubic represents all non-degenerate Pythagorean Hododgraph cubics. We determine its support function and represent it as a convolution of a centrally symmetrical curve and a curve with linear normals. We use the support function to parametrize the Tschirnhausen cubic by normals. This parametrization is then used to an elegant and complete solution of the G(1) Hermite interpolation by Pythagorean Hodograph cubics. We apply the resulting algorithm to various examples and extend it to the interpolation by offsets of PH cubics.
  • The Tschirnhausen cubic represents all non-degenerate Pythagorean Hododgraph cubics. We determine its support function and represent it as a convolution of a centrally symmetrical curve and a curve with linear normals. We use the support function to parametrize the Tschirnhausen cubic by normals. This parametrization is then used to an elegant and complete solution of the G(1) Hermite interpolation by Pythagorean Hodograph cubics. We apply the resulting algorithm to various examples and extend it to the interpolation by offsets of PH cubics. (en)
Title
  • Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.
  • Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation. (en)
skos:prefLabel
  • Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.
  • Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation. (en)
skos:notation
  • RIV/00216208:11320/10:10052010!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/08/0486), Z(MSM0021620839)
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
  • 291085
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/10:10052010
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Pythagorean Hodograph Cubics; Support Function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [0DE7C06FF241]
http://linked.open...v/mistoKonaniAkce
  • Castro Urdiales, Spain
http://linked.open...i/riv/mistoVydani
  • BERLIN
http://linked.open...i/riv/nazevZdroje
  • ADVANCES IN GEOMETRIC MODELING AND PROCESSING, PROCEEDINGS
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
  • Šír, Zbyněk
  • Černohorská, Eva
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000279606600003
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://purl.org/ne...btex#hasPublisher
  • SPRINGER-VERLAG BERLIN
https://schema.org/isbn
  • 978-3-642-13410-4
http://localhost/t...ganizacniJednotka
  • 11320
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