Approximate Implicitization of Space Curves and of Surfaces of Revolution

Mohamed Shalaby and Bert Jüttler ()
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Mohamed Shalaby: Johannes Kepler University, Institute of Applied Geometry
Bert Jüttler: Johannes Kepler University, Institute of Applied Geometry

Chapter 12 in Geometric Modeling and Algebraic Geometry, 2008, pp 215-227 from Springer

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-72185-7_12

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DOI: 10.1007/978-3-540-72185-7_12

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