Dupin Cyclides Passing through a Fixed Circle

Jean Michel Menjanahary and Raimundas Vidunas ()
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Jean Michel Menjanahary: Institute of Computer Science, Vilnius University, 08303 Vilnius, Lithuania
Raimundas Vidunas: Institute of Applied Mathematics, Vilnius University, 03225 Vilnius, Lithuania

Mathematics, 2024, vol. 12, issue 10, 1-17

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.

Keywords: Dupin cyclide; cyclide blending; CAGD (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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