Approximate implicitization of space curves and of surfaces of revolution

Mohamed Shalaby, Bert Jüttler

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

8 Scopus citations

Abstract

We present techniques for creating an approximate implicit representation of space curves and of surfaces of revolution. In both cases, the proposed techniques reduce the problem to that of implicitization of planar curves. For space curves, which are described as the intersection of two implicitly defined surfaces, we show how to generate an approximately orthogonalized implicit representation. In the case of surfaces of revolution, we address the problem of avoiding unwanted branches and singular points in the region of interest.

Original languageEnglish (US)
Title of host publicationGeometric Modeling and Algebraic Geometry
PublisherSpringer Berlin Heidelberg
Pages215-227
Number of pages13
ISBN (Print)9783540721840
DOIs
StatePublished - Dec 1 2008

ASJC Scopus subject areas

  • Mathematics(all)

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