Dupin cyclides passing through a fixed circle
arXiv:2402.13819 · doi:10.3390/math12101505
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.
19 pages, 10 figures