Discretization of asymptotic line parametrizations using hyperboloid surface patches

DOI10.1007/s10711-013-9830-9zbMath1286.51015arXiv1112.3508OpenAlexW3101847139MaRDI QIDQ2439350

Emanuel Huhnen-Venedey, Thilo Rörig

Publication date: 14 March 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3508

zbMATH Keywords

projective geometrydiscrete differential geometryhyperboloidsA-netsdiscrete asymptotic line parametrizationPlücker line geometry

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17) Line geometries and their generalizations (51M30)

Related Items (8)

Smooth surfaces from bilinear patches: discrete affine minimal surfaces ⋮ Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system ⋮ Singularities of discrete improper indefinite affine spheres ⋮ Smooth surfaces from rational bilinear patches ⋮ Multi-nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles ⋮ On the combinatorics of Demoulin transforms and (discrete) projective minimal surfaces ⋮ Distributed branch points and the shape of elastic surfaces with constant negative curvature ⋮ Discrete projective minimal surfaces

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