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Dupin Cyclides Passing through a Fixed Circle

Author

Listed:
  • Jean Michel Menjanahary

    (Institute of Computer Science, Vilnius University, 08303 Vilnius, Lithuania
    These authors contributed equally to this work.)

  • Raimundas Vidunas

    (Institute of Applied Mathematics, Vilnius University, 03225 Vilnius, Lithuania
    These authors contributed equally to this work.)

Abstract

Dupin cyclides are classical algebraic surfaces of low degree. Recently, they have gained popularity in computer-aided geometric design (CAGD) and architecture owing to the fact that they contain many circles. We derive algebraic conditions that fully characterize the Dupin cyclides passing through a fixed circle. The results are applied to the basic problem in CAGD of the blending of Dupin cyclides along circles.

Suggested Citation

  • Jean Michel Menjanahary & Raimundas Vidunas, 2024. "Dupin Cyclides Passing through a Fixed Circle," Mathematics, MDPI, vol. 12(10), pages 1-17, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1505-:d:1392863
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