Computing All Conic Sections in Torus and Natural Quadric Intersections

  title={Computing All Conic Sections in Torus and Natural Quadric Intersections},
  author={Ku-Jin Kim and Myung-Soo Kim},
Conic sections embedded in a torus must be circles of special types: (i) proole circles, (ii) cross-sectional circles , and (iii) Yvone-Villarceau circles. Based on this classiication, we present eecient and robust geometric algorithms that detect and compute all degenerate conic sections (circles) in torus/plane and torus/natural-quadric intersections. 2 Introduction Simple surfaces (such as planes, spheres, cylinders, cones, and tori) are important in conventional solid model-ing systems… CONTINUE READING


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