A New Variational Model for Shape Graph Registration with Partial Matching Constraints
DOI10.1137/21M1418587zbMath1486.49065arXiv2105.00678OpenAlexW3214442574MaRDI QIDQ5068852
Yashil Sukurdeep, Nicolas Charon, Martin Bauer
Publication date: 7 April 2022
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.00678
total variation normpartial matchingvarifoldelastic shape analysisSobolev metricsSFISTA algorithmshape graphs
Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Curves in Euclidean and related spaces (53A04)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Functional and shape data analysis
- Precise matching of PL curves in \(\mathbb R^N\) in the square root velocity framework
- Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
- Large deformation diffeomorphic metric curve mapping
- On shape of plane elastic curves
- Completeness properties of Sobolev metrics on the space of curves
- Properties of Sobolev-type metrics in the space of curves
- A survey of the statistical theory of shape. With discussion and a reply by the author
- Statistical shape analysis of simplified neuronal trees
- Metrics, quantization and registration in varifold spaces
- Statistical analysis and modeling of the geometry and topology of plant roots
- An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
- Overview of the geometries of shape spaces and diffeomorphism groups
- Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
- On a Class of Diffeomorphic Matching Problems in One Dimension
- Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics
- The Varifold Representation of Nonoriented Shapes for Diffeomorphic Registration
- GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES
- Estimation of a growth development with partial diffeomorphic mappings
- Optimal Reparametrizations in the Square Root Velocity Framework
- The Hopf-Rinow Theorem is false in infinite Dimensions
- Computable Elastic Distances Between Shapes
- Smoothing and Decomposition for Analysis Sparse Recovery
- A relaxed approach for curve matching with elastic metrics
- Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves
- Statistics on stratified spaces
- Fidelity metrics between curves and surfaces: currents, varifolds, and normal cycles
- A Numerical Framework for Sobolev Metrics on the Space of Curves
- Depth-First Search and Linear Graph Algorithms
- Shapes and diffeomorphisms
This page was built for publication: A New Variational Model for Shape Graph Registration with Partial Matching Constraints