Canonical tessellations of decorated hyperbolic surfaces
DOI10.1007/s10711-022-00746-yOpenAlexW4313432460MaRDI QIDQ2111094
Publication date: 23 December 2022
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.13461
configuration spaceflip algorithmhyperbolic surfacesEpstein-Penner convex hullweighted Delaunay tessellationsweighted Voronoi decompositions
Hyperbolic and elliptic geometries (general) and generalizations (51M10) General geometric structures on low-dimensional manifolds (57M50) Non-Euclidean differential geometry (53A35) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
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Cites Work
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- Fuchsian convex bodies: basics of Brunn-Minkowski theory
- Decorated Teichmüller theory
- Convex hulls and isometries of cusped hyperbolic 3-manifolds
- Polyhedral hyperbolic metrics on surfaces
- Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes
- Triangulations. Structures for algorithms and applications
- Euclidean decompositions of noncompact hyperbolic manifolds
- The decorated Teichmüller space of punctured surfaces
- Natural triangulations associated to a surface
- A canonical cellular decomposition of the Teichmüller space of compact surfaces with boundary
- Euclidean structures on simplicial surfaces and hyperbolic volume
- Characterizing the Delaunay decompositions of compact hyperbolic surfaces
- Three-dimensional orbifolds and cone-manifolds
- The tilt formula for generalized simplices in hyperbolic space
- A discrete uniformization theorem for polyhedral surfaces. II
- A discrete uniformization theorem for polyhedral surfaces
- The generalized tilt formula
- Ideal polyhedral surfaces in Fuchsian manifolds
- Ideal hyperbolic polyhedra and discrete uniformization
- Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry
- A discrete Laplace-Beltrami operator for simplicial surfaces
- A variational principle for weighted Delaunay triangulations and hyperideal polyhedra
- Discrete conformal maps and ideal hyperbolic polyhedra
- Finiteness of polyhedral decompositions of cusped hyperbolic manifolds obtained by the Epstein-Penner’s method
- A generalization of the Epstein-Penner construction to projective manifolds
- Hyperbolic Delaunay complexes and Voronoi diagrams made practical
- An algorithm for the Euclidean cell decomposition of a non-compact strictly convex projective surface
- Voronoi Diagram in the Laguerre Geometry and Its Applications
- The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon
- Variational principles for circle patterns and Koebe’s theorem
- Non-Euclidean Laguerre Geometry and Incircular Nets
- A Toroidal Maxwell-Cremona-Delaunay Correspondence
- Secondary Fans and Secondary Polyhedra of Punctured Riemann Surfaces
- Lie sphere geometry. With applications to submanifolds
- Voronoi diagrams on piecewise flat surfaces and an application to biological growth
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