| Title |
Dupin cyclides passing through a fixed circle |
| Authors |
Menjanahary, Jean Michel ; Vidunas, Raimundas |
| DOI |
10.3390/math12101505 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2024, vol. 12, iss. 10, art. no. 1505, p. [1-17].. eISSN 2227-7390 |
| Keywords [eng] |
CAGD ; cyclide blending ; Dupin cyclide |
| Abstract [eng] |
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. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
