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  • MOS surfaces (i.e., medial surface transforms obeying a sum of squares condition) are rational surfaces in R^{3,1} which possess rational envelopes of the associated two-parameter families of spheres. Moreover, all offsets of the envelopes admit rational parameterizations as well. Recently, it has been proved that quadratic triangular Bézier patches in View the MathML source are MOS surfaces. Following this result, we describe an algorithm for computing an exact rational envelope of a two-parameter family of spheres given by a quadratic patch in View the MathML source. The paper focuses mainly on the geometric aspects of the algorithm. Since these patches are capable of producing C1 smooth approximations of medial surface transforms of spatial domains, we use this algorithm to generate rational approximations of envelopes of general medial surface transforms. One of the main advantages of this approach to offsetting is the fact that the trimming procedure becomes considerably simpler.
  • MOS surfaces (i.e., medial surface transforms obeying a sum of squares condition) are rational surfaces in R^{3,1} which possess rational envelopes of the associated two-parameter families of spheres. Moreover, all offsets of the envelopes admit rational parameterizations as well. Recently, it has been proved that quadratic triangular Bézier patches in View the MathML source are MOS surfaces. Following this result, we describe an algorithm for computing an exact rational envelope of a two-parameter family of spheres given by a quadratic patch in View the MathML source. The paper focuses mainly on the geometric aspects of the algorithm. Since these patches are capable of producing C1 smooth approximations of medial surface transforms of spatial domains, we use this algorithm to generate rational approximations of envelopes of general medial surface transforms. One of the main advantages of this approach to offsetting is the fact that the trimming procedure becomes considerably simpler. (en)
Title
  • Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets
  • Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets (en)
skos:prefLabel
  • Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets
  • Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets (en)
skos:notation
  • RIV/49777513:23520/10:00503240!RIV11-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 6
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
  • 296696
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/10:00503240
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Quadratic Bézier triangles; MOS surfaces; Trimmed offsets (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [F0D3CF507A7C]
http://linked.open...i/riv/nazevZdroje
  • Computer-Aided Design
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 42
http://linked.open...iv/tvurceVysledku
  • Bastl, Bohumír
  • Kosinka, Jiří
  • Lávička, Miroslav
  • Jüttler, Bert
http://linked.open...n/vavai/riv/zamer
issn
  • 0010-4485
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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