Nonisometric surface registration via conformal Laplace-Beltrami basis pursuit

DOI10.1007/s10915-020-01390-yzbMath1472.65076arXiv1809.07399OpenAlexW3125309199MaRDI QIDQ2027925

Stefan C. Schonsheck, Rongjie Lai, Michael M. Bronstein

Publication date: 28 May 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07399

zbMATH Keywords

shape analysisconformal deformationLaplace-Beltrami eigensystemnonisometric manifold matching

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (1)

Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations

Uses Software

• MADMM

Cites Work

• Unnamed Item
• Unnamed Item
• A feasible method for optimization with orthogonality constraints
• A local mesh method for solving PDEs on point clouds
• Proximal alternating linearized minimization for nonconvex and nonsmooth problems
• A splitting method for orthogonality constrained problems
• Embedding Riemannian manifolds by their heat kernel
• Global convergence of ADMM in nonconvex nonsmooth optimization
• Fast blended transformations for partial shape registration
• Affine invariant geometry for non-rigid shapes
• Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
• Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces
• Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
• An Augmented Lagrangian Method for $\ell_{1}$-Regularized Optimization Problems with Orthogonality Constraints
• Efficient Computation of Isometry‐Invariant Distances Between Surfaces
• Two-Point Step Size Gradient Methods
• Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace--Beltrami Eigenmap
• Finite element methods for surface PDEs
• Nonlinear Programming
• Riemannian geometry and geometric analysis

This page was built for publication: Nonisometric surface registration via conformal Laplace-Beltrami basis pursuit