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Circles in torus-torus intersections
Authors:Ku-Jin Kim
Institution:
  • School of Computer Science and Engineering, College of IT Engineering, Kyungpook National University, 1370 Sankyuk-dong, Buk-gu, Daegu 702-701, South Korea
  • Abstract:We present a procedure to compute all the circles in the intersection curve of two tori, based on the geometric properties of the circles embedded in a torus. By using the geometric constraints in computing the circles, our algorithm provides an efficient and robust solution.
    Keywords:Torus-torus intersection  Conic section  Profile circle  Cross-sectional circle  Yvone-Villarceau circle  Geometric constraints
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