The focal geometry of circular and conical meshes

DOI10.1007/s10444-007-9045-4zbMath1159.65023OpenAlexW2140549904MaRDI QIDQ960000

Johannes Wallner, Helmut Pottmann

Publication date: 16 December 2008

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.9398

zbMATH Keywords

discrete differential geometryMöbius geometryLaguerre geometrycircular meshconical meshdiscrete normalfocal meshoffset meshQuadrilateral mesh

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Möbius geometries (51B10) Other special differential geometries (53A40) Laguerre geometries (51B15)

Related Items (15)

Planar discrete isothermic nets of conical type ⋮ Oriented mixed area and discrete minimal surfaces ⋮ On the semidiscrete differential geometry of A-surfaces and K-surfaces ⋮ Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides ⋮ Conformal hexagonal meshes ⋮ Discretization of asymptotic line parametrizations using hyperboloid surface patches ⋮ Ruled Laguerre minimal surfaces ⋮ On offsets and curvatures for discrete and semidiscrete surfaces ⋮ On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs ⋮ Infinitesimally flexible meshes and discrete minimal surfaces ⋮ Edge offset meshes in Laguerre geometry ⋮ A curvature theory for discrete surfaces based on mesh parallelity ⋮ Vertex Normals and Face Curvatures of Triangle Meshes ⋮ S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature ⋮ Laguerre minimal surfaces, isotropic geometry and linear elasticity

Cites Work

• Minimal surfaces from circle patterns: geometry from combinatorics
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• Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
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• Lie sphere geometry. With applications to submanifolds
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