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Challenges in Surface-Surface Intersections

In: Computational Methods for Algebraic Spline Surfaces

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  • Vibeke Skytt

    (SINTEF)

Abstract

Tangential and singular situations are still challenges in a system for surface-surface intersections. This paper presents several real world examples of hard intersection problems, and proposes methods on how to deal with them. In particular, solutions which use the possibility of representing a parametric surface as an algebraic surface through the use of approximate implicitization, are in focus. This allows us to transform an intersection between two parametric surfaces to the problem of finding zeroes of a function of two parameters.

Suggested Citation

  • Vibeke Skytt, 2005. "Challenges in Surface-Surface Intersections," Springer Books, in: Computational Methods for Algebraic Spline Surfaces, pages 11-26, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27157-4_2
    DOI: 10.1007/3-540-27157-0_2
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