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  • Rational shapes with rational offsets, especially Pythagorean hodograph (PH) curves and Pythagorean normal vector (PN) surfaces, have been thoroughly studied for many years. However compared to PH curves, Pythagorean normal vector surfaces were introduced using dual approach only in their rational version and a complete characterization of polynomial surfaces with rational offsets, i.e., a polynomial solution of the well-known surface Pythagorean condition, still remains an open and challenging problem. In this contribution, we study a remarkable family of cubic polynomial PN surfaces with birational Gauss mapping, which represent a surface counterpart to the planar Tschirnhausen cubic. A full description of these surfaces is presented and their properties are discussed.
  • Rational shapes with rational offsets, especially Pythagorean hodograph (PH) curves and Pythagorean normal vector (PN) surfaces, have been thoroughly studied for many years. However compared to PH curves, Pythagorean normal vector surfaces were introduced using dual approach only in their rational version and a complete characterization of polynomial surfaces with rational offsets, i.e., a polynomial solution of the well-known surface Pythagorean condition, still remains an open and challenging problem. In this contribution, we study a remarkable family of cubic polynomial PN surfaces with birational Gauss mapping, which represent a surface counterpart to the planar Tschirnhausen cubic. A full description of these surfaces is presented and their properties are discussed. (en)
Title
  • On a Special Class of Polynomial Surfaces with Pythagorean Normal Vector Fields
  • On a Special Class of Polynomial Surfaces with Pythagorean Normal Vector Fields (en)
skos:prefLabel
  • On a Special Class of Polynomial Surfaces with Pythagorean Normal Vector Fields
  • On a Special Class of Polynomial Surfaces with Pythagorean Normal Vector Fields (en)
skos:notation
  • RIV/49777513:23520/12:43898298!RIV13-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 6920
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
  • 156168
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/12:43898298
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Rational offsets, Pythagorean normal vector (PN) surface, cubic surface (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [93D2A555DAFA]
http://linked.open...i/riv/nazevZdroje
  • Lecture Notes in Computer Science
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2012
http://linked.open...iv/tvurceVysledku
  • Lávička, Miroslav
  • Vršek, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-27413-8_27
http://localhost/t...ganizacniJednotka
  • 23520
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