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Intersection Algorithms and CAGD

In: Geometric Modelling, Numerical Simulation, and Optimization

Author

Listed:
  • Tor Dokken

    (SINTEF ICT, Applied Mathematics)

  • Vibeke Skytt

    (SINTEF ICT, Applied Mathematics)

Abstract

An approach for calculating intersections between parametric surfaces based on long experience in developing intersection algorithms for industrial use, is presented. In addition two novel methods that help improve quality and performance of intersection algorithms are described: An initial assessment of the intersection complexity to identify most transversal intersections, and to identify surface regions with possible complex intersection topology. To find regions where the surfaces possibly intersect, and regions where surface normals possibly are parallel, the computational power of multi-core CPUs and programmable graphics processors (GPUs) is used for subdivision of the surfaces and their normal fields. Approximate implicitization of surface regions to help analyse singular and near singular intersections.

Suggested Citation

  • Tor Dokken & Vibeke Skytt, 2007. "Intersection Algorithms and CAGD," Springer Books, in: Geir Hasle & Knut-Andreas Lie & Ewald Quak (ed.), Geometric Modelling, Numerical Simulation, and Optimization, pages 41-90, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-68783-2_3
    DOI: 10.1007/978-3-540-68783-2_3
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