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In this announcement, we deal with the Orthogonal Procrustes Problem, in which two point configurations are compared in order to construct a map to optimally align the two sets. This extends this to $\varepsilon$-diffeomorphisms, introduced…

Classical Analysis and ODEs · Mathematics 2023-08-03 Neophytos Charalambides , Steven B. Damelin , Bradley Swartz

In this work we propose to combine the advantages of learningbased and combinatorial formalisms for 3D shape matching. While learningbased methods lead to state-of-the-art matching performance, they do not ensure geometric consistency, so…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Paul Roetzer , Ahmed Abbas , Dongliang Cao , Florian Bernard , Paul Swoboda

Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace's equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in…

Chemical Physics · Physics 2016-09-08 Martin Z. Bazant

This paper is a sequel of arXiv:2109.06394. In this paper, we consider a kind of inverse problem of multipliers. The problem is to count number of isospectral correspondences, correspondences which has the same combination of multipliers.…

Dynamical Systems · Mathematics 2023-09-28 Rin Gotou

The availability of affordable 3D full body reconstruction systems has given rise to free-viewpoint video (FVV) of human shapes. Most existing solutions produce temporally uncorrelated point clouds or meshes with unknown point/vertex…

Computer Vision and Pattern Recognition · Computer Science 2018-10-15 Zhong Li , Minye Wu , Wangyiteng Zhou , Jingyi Yu

We propose a differentiable nonlinear least squares framework to account for uncertainty in relative pose estimation from feature correspondences. Specifically, we introduce a symmetric version of the probabilistic normal epipolar…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Dominik Muhle , Lukas Koestler , Krishna Murthy Jatavallabhula , Daniel Cremers

Although convolution neural network based stereo matching architectures have made impressive achievements, there are still some limitations: 1) Convolutional Feature (CF) tends to capture appearance information, which is inadequate for…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Biyang Liu , Huimin Yu , Yangqi Long

This paper considers the robust phase retrieval problem, which can be cast as a nonsmooth and nonconvex optimization problem. We propose a new inexact proximal linear algorithm with the subproblem being solved inexactly. Our contributions…

Optimization and Control · Mathematics 2024-02-12 Zhong Zheng , Shiqian Ma , Lingzhou Xue

In this paper, we study the problem of decomposing a superposition of a low-rank matrix and a sparse matrix when a relatively few linear measurements are available. This problem arises in many data processing tasks such as aligning multiple…

Information Theory · Computer Science 2012-03-01 Arvind Ganesh , Kerui Min , John Wright , Yi Ma

We propose a novel unsupervised learning approach to 3D shape correspondence that builds a multiscale matching pipeline into a deep neural network. This approach is based on smooth shells, the current state-of-the-art axiomatic…

Computer Vision and Pattern Recognition · Computer Science 2020-10-30 Marvin Eisenberger , Aysim Toker , Laura Leal-Taixé , Daniel Cremers

Boundary conforming coordinates are commonly used in plasma physics to describe the geometry of toroidal domains, for example, in three-dimensional magnetohydrodynamic equilibrium solvers. The magnetohydrodynamic equilibrium configuration…

Plasma Physics · Physics 2025-02-07 Robert Babin , Florian Hindenlang , Omar Maj , Robert Köberl

A key component of Visual Simultaneous Localization and Mapping (VSLAM) is estimating relative camera poses using matched keypoints. Accurate estimation is challenged by noisy correspondences. Classical methods rely on stochastic hypothesis…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Prateeth Rao , Sachit Rao

In the constraint programming framework, state-of-the-art static and dynamic decomposition techniques are hard to apply to problems with complete initial constraint graphs. For such problems, we propose a hybrid approach of these techniques…

Computational Complexity · Computer Science 2008-12-18 Stephane Zampelli , Martin Mann , Yves Deville , Rolf Backofen

In this paper, we address the issue of hyperspectral pan-sharpening, which consists in fusing a (low spatial resolution) hyperspectral image HX and a (high spatial resolution) panchromatic image P to obtain a high spatial resolution…

Computer Vision and Pattern Recognition · Computer Science 2014-05-13 Alexis Huck , François de Vieilleville , Pierre Weiss , Manuel Grizonnet

This paper studies the fast adaptive beamforming for the multiuser multiple-input single-output downlink. Existing deep learning-based approaches assume that training and testing channels follow the same distribution which causes task…

Information Theory · Computer Science 2021-09-21 Juping Zhang , Yi Yuan , Gan Zheng , Ioannis Krikidis , Kai-Kit Wong

Effective image deblurring typically relies on large and fully paired datasets of blurred and corresponding sharp images. However, obtaining such accurately aligned data in the real world poses a number of difficulties, limiting the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Alok Panigrahi , Jayaprakash Katual , Satish Mulleti

We consider the problem of exact and inexact matching of weighted undirected graphs, in which a bijective correspondence is sought to minimize a quadratic weight disagreement. This computationally challenging problem is often relaxed as a…

Data Structures and Algorithms · Computer Science 2014-10-14 Yonathan Aflalo , Alex Bronstein , Ron Kimmel

In this paper we establish links between, and new results for, three problems that are not usually considered together. The first is a matrix decomposition problem that arises in areas such as statistical modeling and signal processing:…

Optimization and Control · Mathematics 2013-02-05 James Saunderson , Venkat Chandrasekaran , Pablo A. Parrilo , Alan S. Willsky

Existing methods for stereo work on narrow baseline image pairs giving limited performance between wide baseline views. This paper proposes a framework to learn and estimate dense stereo for people from wide baseline image pairs. A…

Computer Vision and Pattern Recognition · Computer Science 2019-10-04 Akin Caliskan , Armin Mustafa , Evren Imre , Adrian Hilton

Recently, leveraging on the development of end-to-end convolutional neural networks (CNNs), deep stereo matching networks have achieved remarkable performance far exceeding traditional approaches. However, state-of-the-art stereo frameworks…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Xiao Song , Xu Zhao , Liangji Fang , Hanwen Hu