English

Dupin cyclides passing through a fixed circle

Algebraic Geometry 2025-03-27 v1

Abstract

We derive algebraic equations on the coefficients of the implicit equation to characterize all Dupin cyclides passing through a fixed circle. The results are applied to solve the basic problems in CAGD about blending of Dupin cyclides along circles.

Keywords

Cite

@article{arxiv.2402.13819,
  title  = {Dupin cyclides passing through a fixed circle},
  author = {Jean Michel Menjanahary and Raimundas Vidunas},
  journal= {arXiv preprint arXiv:2402.13819},
  year   = {2025}
}

Comments

19 pages, 10 figures

R2 v1 2026-06-28T14:55:46.889Z