Discrete Surfaces in Isotropic Geometry

DOI10.1007/978-3-540-73843-5_21zbMath1163.68359OpenAlexW1580207690MaRDI QIDQ5434555

Yang Liu, Helmut Pottmann

Publication date: 4 January 2008

Published in: Mathematics of Surfaces XII (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-73843-5_21

zbMATH Keywords

discrete differential geometryisotropic geometryedge offset meshconical meshisotropic minimal surfacesurfaces in architecture

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (16)

Planar discrete isothermic nets of conical type ⋮ Unnamed Item ⋮ Isotropic Möbius Geometry and i-M Circles on Singular Isotropic Cyclides ⋮ Translation surfaces of constant curvatures in a simply isotropic space ⋮ Unnamed Item ⋮ Discrete Weierstrass-type representations ⋮ Spinor representation in isotropic 3-space via Laguerre geometry ⋮ The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space ⋮ Ruled Laguerre minimal surfaces ⋮ Surfaces containing two isotropic circles through each point ⋮ CONSTANT RATIO CURVES IN THE ISOTROPIC PLANE AND THEIR DEFLECTION PROPERTIES ⋮ Characterizing envelopes of moving rotational cones and applications in CNC machining ⋮ A generalization of translation surfaces with constant curvature in the isotropic space ⋮ Edge offset meshes in Laguerre geometry ⋮ Laguerre minimal surfaces, isotropic geometry and linear elasticity ⋮ Ruled surfaces generated by elliptic cylindrical curves in the isotropic space

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