Using Tangent Balls to Find Plane Sections of Natural Quadrics

  • Authors:
  • James R. Miller;Ronald N. Goldman

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Computer Graphics and Applications
  • Year:
  • 1992

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Abstract

Geometric constructions for computing plane sections of the natural quadric surfaces that operate on planes and natural quadrics in general position and orientation are developed. The procedures separate geometric descriptions of the resulting conic sections. The algorithms are extremely fast, numerically robust, and do not employ coordinate system transformations of any sort.