Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric
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Publication:6124306
DOI10.1137/22m1544452arXiv2301.00284OpenAlexW4392596616MaRDI QIDQ6124306
Emmanuel Hartman, Martin Bauer, Eric P. Klassen
Publication date: 27 March 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.00284
Cites Work
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- Functional and shape data analysis
- The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view
- Precise matching of PL curves in \(\mathbb R^N\) in the square root velocity framework
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- On shape of plane elastic curves
- A new optimal transport distance on the space of finite Radon measures
- Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
- An interpolating distance between optimal transport and Fisher-Rao metrics
- Unbalanced optimal transport: dynamic and Kantorovich formulations
- A numerical framework for elastic surface matching, comparison, and interpolation
- The square root normal field distance and unbalanced optimal transport
- Shape analysis of surfaces using general elastic metrics
- An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
- Generalized Wasserstein distance and its application to transport equations with source
- Overview of the geometries of shape spaces and diffeomorphism groups
- On a Class of Diffeomorphic Matching Problems in One Dimension
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Differential Geometry of Curves and Surfaces
- Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves
- Statistical Shape Analysis, with Applications in R
- Overview of object oriented data analysis
- Scaling algorithms for unbalanced optimal transport problems
- Optimal Reparametrizations in the Square Root Velocity Framework
- Closed surfaces with different shapes that are indistinguishable by the SRNF
- Biomedical Applications of Geometric Functional Data Analysis
- Eulerian models and algorithms for unbalanced optimal transport
- Computable Elastic Distances Between Shapes
- A PDE-Based Method for Shape Registration
- Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves
- A Numerical Framework for Sobolev Metrics on the Space of Curves
- The Wasserstein-Fisher-Rao Metric for Waveform Based Earthquake Location
- Shapes and diffeomorphisms
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