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Distance Separation Measures Between Parametric Curves and Surfaces Toward Intersection and Collision Detection Applications

In: Computational Methods for Algebraic Spline Surfaces

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  • Gershon Elber

    (Technion, Israel Institute of Technology)

Abstract

This paper investigates the use of separation measures for parametric curves and surfaces toward the resolution of interference and intersections between curves and surfaces as well as collision detection. Two types of distance separation measures are discussed. While the trivial distance function can be derived quite efficiently, it is shown in this work that this trivial distance function is not the optimal approach, in general. A better and more efficient scheme that projects the distance onto the normal field of either manifold is demonstrated to be superior in correctly detecting highly coupled non-intersecting arrangements as such. Finally, a few extensions that further ease the detection of intersection-free arrangements, for both planar arrangements and arrangements in R3, are also discussed.

Suggested Citation

  • Gershon Elber, 2005. "Distance Separation Measures Between Parametric Curves and Surfaces Toward Intersection and Collision Detection Applications," Springer Books, in: Computational Methods for Algebraic Spline Surfaces, pages 63-75, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27157-4_5
    DOI: 10.1007/3-540-27157-0_5
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