Conformal Wasserstein distance: II. computational aspects and extensions

DOI10.1090/S0025-5718-2012-02569-5zbMath1281.65034arXiv1103.4681OpenAlexW1993747418MaRDI QIDQ4911906

No author found.

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4681

zbMATH Keywords

algorithmVoronoi diagramcomputational geometryMöbius transformationWasserstein distancedisk type surfacessphere type surfaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Momentum maps; symplectic reduction (53D20) Surfaces in Euclidean and related spaces (53A05)

Related Items (6)

The diffusion geometry of fibre bundles: horizontal diffusion maps ⋮ The geometry of synchronization problems and learning group actions ⋮ Continuous Procrustes Distance Between Two Surfaces ⋮ On inversion-free mapping and distortion minimization ⋮ Computing Surface Uniformization Using Discrete Beltrami Flow ⋮ Gaussian Process Landmarking for Three-Dimensional Geometric Morphometrics

Uses Software

• EMD

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conformal Wasserstein distances: comparing surfaces in polynomial time
• On the convergence of metric and geometric properties of polyhedral surfaces
• Matching theory
• The quadratic assignment problem. Theory and algorithms
• The earth mover's distance as a metric for image retrieval
• A theoretical and computational framework for isometry invariant recognition of point cloud data
• Optimal mass transport for registration and warping
• Numerical Geometry of Non-Rigid Shapes
• Efficient Computation of Isometry‐Invariant Distances Between Surfaces
• Computing Discrete Minimal Surfaces and Their Conjugates
• Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
• The Mathematical Theory of Finite Element Methods

This page was built for publication: Conformal Wasserstein distance: II. computational aspects and extensions