Skinning and blending with rational envelope surfaces

Michal Bizzarri, Miroslav Lávicka, Jiri Kosinka

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Abstract

We continue the study of rational envelope (RE) surfaces. Although these surfaces are parametrized with the help of square roots, when considering an RE patch as the medial surface transform in 4D of a spatial domain it yields a rational parametrization of the domain's boundary, i.e., the envelope of the corresponding 2-parameter family of spheres. We formulate efficient algorithms for G1 data interpolation using RE surfaces and apply the developed methods to rational skinning and blending of sets of spheres and cones/cylinders, respectively. Our results are demonstrated on several computed examples of skins and blends with rational parametrizations.
Original languageEnglish
Pages (from-to)41-51
Number of pages11
JournalComputer-Aided design
Volume87
DOIs
Publication statusPublished - Jun-2017

Keywords

  • CANAL SURFACES
  • RINGED SURFACES
  • CURVES
  • REPRESENTATIONS
  • 3D

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