Edge offset meshes in Laguerre geometry
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Publication:541598
DOI10.1007/s10444-009-9119-6zbMath1213.68654OpenAlexW2139620882MaRDI QIDQ541598
Helmut Pottmann, Philipp Grohs, Bernhard Blaschitz
Publication date: 7 June 2011
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-009-9119-6
minimal surfacediscrete differential geometryLaguerre minimal surfaceLaguerre geometryedge offset meshkoebe polyhedron
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Other special differential geometries (53A40) Laguerre geometries (51B15)
Related Items (7)
Laguerre homogeneous surfaces in \(\mathbb R^3\) ⋮ Discrete maximal surfaces with singularities in Minkowski space ⋮ Ruled Laguerre minimal surfaces ⋮ Laguerre isoparametric and Dupin hypersurfaces in \(\mathbb {R}^n\) ⋮ Area preserving transformations in two-dimensional space forms and classical differential geometry ⋮ A curvature theory for discrete surfaces based on mesh parallelity ⋮ Checkerboard incircular nets: Laguerre geometry and parametrisation
Cites Work
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- Circle patterns with the combinatorics of the square grid
- Minimal surfaces from circle patterns: geometry from combinatorics
- The focal geometry of circular and conical meshes
- Laguerre minimal surfaces, isotropic geometry and linear elasticity
- Applications of Laguerre geometry in CAGD
- Infinitesimally flexible meshes and discrete minimal surfaces
- On organizing principles of discrete differential geometry. Geometry of spheres
- A variational problem for surfaces in Laguerre geometry
- Lectures on Polytopes
- Variational principles for circle patterns and Koebe’s theorem
- Discrete Surfaces in Isotropic Geometry
- Lie sphere geometry. With applications to submanifolds
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