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Enumerating the morphologies of non-degenerate Darboux cyclides

Abstract : We provide an enumeration of all possible morphologies of non-degenerate Darboux cyclides. Based on the fact that every Darboux cyclide in R 3 is the stereographic projection of the intersection surface of a sphere and a quadric in R 4 , we transform the enumeration problem of morphologies of Darboux cyclides to the enumeration of the algebraic sequences that characterize the intersection of a sphere and a quadric in R 4 .
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Submitted on : Monday, December 9, 2019 - 3:56:47 PM
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Mingyang Zhao, Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang. Enumerating the morphologies of non-degenerate Darboux cyclides. Computer Aided Geometric Design, Elsevier, 2019, 75, pp.101776. ⟨10.1016/j.cagd.2019.101776⟩. ⟨hal-02400652⟩

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