Surface-to-Surface Intersections

  • Authors:
  • Nicholas M. Patrikalakis

  • Affiliations:
  • -

  • Venue:
  • IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
  • Year:
  • 1993

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Abstract

Techniques for computing intersections of algebraic surfaces with piecewise rational polynomial parametric surface patches and intersections of two piecewise rational polynomial parametric surface patches are discussed. The techniques are classified using four categories-lattice evolution methods, marching methods, subdivision methods, and analytic methods-and their principal features are discussed. It is shown that some of these methods also apply to the general parametric surface-intersection problem.