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- W4313304460 abstract "Dupin cyclides are interesting algebraic surfaces used in geometric design and architecture to join canal surfaces smoothly and to construct model surfaces. Dupin cyclides are special cases of Darboux cyclides, which in turn are rather general surfaces in $mathbb R^3$ of degree 3 or 4. This article derives the algebraic conditions for recognition of Dupin cyclides among the general implicit form of Darboux cyclides. We aim at practicable sets of algebraic equations on the coefficients of the implicit equation, each such set defining a complete intersection (of codimension 4) locally. Additionally, the article classifies all real surfaces and lower dimensional degenerations defined by the implicit equation for Dupin cyclides." @default.
- W4313304460 created "2023-01-06" @default.
- W4313304460 creator A5008977165 @default.
- W4313304460 creator A5078092920 @default.
- W4313304460 date "2022-12-28" @default.
- W4313304460 modified "2023-10-01" @default.
- W4313304460 title "Dupin Cyclides as a Subspace of Darboux Cyclides" @default.
- W4313304460 doi "https://doi.org/10.48550/arxiv.2212.14015" @default.
- W4313304460 hasPublicationYear "2022" @default.
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