Dihedral angle-based maps of tetrahedral meshes

DOI10.1145/2766900zbMath1334.68264OpenAlexW1971567222MaRDI QIDQ2802290

A. Sheffer, Nicolas Ray, Bruno Lévy, Gilles-Philippe Paillé, Pierre Poulin

Publication date: 25 April 2016

Published in: ACM Transactions on Graphics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01245593/file/VolumeDihedralMaps.pdf

zbMATH Keywords

interpolationoptimizationcompressionvolume parameterization

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA ⋮ A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds ⋮ Dihedral deformation and rigidity ⋮ A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds

Uses Software

• TetGen
• CHOLMOD

Cites Work

• Unnamed Item
• On a problem of Fenchel
• Tight immersions of simplicial surfaces in three space
• First order Regge calculus
• Robust fairing via conformal curvature flow
• Injective and bounded distortion mappings in 3D
• Planar shape interpolation with bounded distortion
• Angles of planar triangular graphs
• Parameterization of faceted surfaces for meshing using angle-based flattening

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