Equivolumetric offset surfaces

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18 Scopus citations

Abstract

We present the equivolumetric offset surface which is a special kind of variable distance offset surfaces. For a given base surface, the volume bounded by the base surface and its equidistance offset may vary depending on the curvature of the base surface. The offset distance function of the equivolumetric offset surface is carefully chosen to compensate this curvature effect and to equalize the volumetric ratio. The explicit formulation of the equivolumetric offset distance function is given by using the Chebyshev cube root.

Original languageEnglish
Pages (from-to)17-36
Number of pages20
JournalComputer Aided Geometric Design
Volume26
Issue number1
DOIs
StatePublished - Jan 2009

Keywords

  • Chebyshev cube root
  • Equivolumetric offset
  • Offset surface
  • Variable distance offset

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