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An important problem in shape analysis is to match configurations of points in space filtering out some geometrical transformation. In this paper we introduce hierarchical models for such tasks, in which the points in the configurations are…

Statistics Theory · Mathematics 2010-03-23 Peter J. Green , Kanti Mardia

We explore semantic correspondence estimation through the lens of unsupervised learning. We thoroughly evaluate several recently proposed unsupervised methods across multiple challenging datasets using a standardized evaluation protocol…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Mehmet Aygün , Oisin Mac Aodha

We present a deep learning framework for accurate visual correspondences and demonstrate its effectiveness for both geometric and semantic matching, spanning across rigid motions to intra-class shape or appearance variations. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Christopher B. Choy , JunYoung Gwak , Silvio Savarese , Manmohan Chandraker

A new recalibration post-processing method is presented to improve the quality of the posterior approximation when using Approximate Bayesian Computation (ABC) algorithms. Recalibration may be used in conjunction with existing…

Computation · Statistics 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

We suggest a novel shape matching algorithm for three-dimensional surface meshes of disk or sphere topology. The method is based on the physical theory of nonlinear elasticity and can hence handle large rotations and deformations.…

Computational Geometry · Computer Science 2015-07-29 Konrad Simon , Sameer Sheorey , David Jacobs , Ronen Basri

We propose a self-supervised approach to deep surface deformation. Given a pair of shapes, our algorithm directly predicts a parametric transformation from one shape to the other respecting correspondences. Our insight is to use…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Thibault Groueix , Matthew Fisher , Vladimir G. Kim , Bryan C. Russell , Mathieu Aubry

We propose a novel learned keypoint detection method to increase the number of correct matches for the task of non-rigid image correspondence. By leveraging true correspondences acquired by matching annotated image pairs with a specified…

Computer Vision and Pattern Recognition · Computer Science 2023-09-13 Felipe Cadar , Welerson Melo , Vaishnavi Kanagasabapathi , Guilherme Potje , Renato Martins , Erickson R. Nascimento

In recent investigations, the problem of detecting edges given non-uniform Fourier data was reformulated as a sparse signal recovery problem with an l1-regularized least squares cost function. This result can also be derived by employing a…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Victor Churchill , Anne Gelb

Robust grasping is a major, and still unsolved, problem in robotics. Information about the 3D shape of an object can be obtained either from prior knowledge (e.g., accurate models of known objects or approximate models of familiar objects)…

Left atrium shape has been shown to be an independent predictor of recurrence after atrial fibrillation (AF) ablation. Shape-based representation is imperative to such an estimation process, where correspondence-based representation offers…

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

Machine Learning · Statistics 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

The availability of affordable and portable depth sensors has made scanning objects and people simpler than ever. However, dealing with occlusions and missing parts is still a significant challenge. The problem of reconstructing a (possibly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Or Litany , Alex Bronstein , Michael Bronstein , Ameesh Makadia

In this work, a simple and efficient dual iterative refinement (DIR) method is proposed for dense correspondence between two nearly isometric shapes. The key idea is to use dual information, such as spatial and spectral, or local and global…

Computer Vision and Pattern Recognition · Computer Science 2020-11-20 Rui Xiang , Rongjie Lai , Hongkai Zhao

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

Dense 3D shape correspondence remains a central challenge in computer vision and graphics as many deep learning approaches still rely on intermediate geometric features or handcrafted descriptors, limiting their effectiveness under…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Maolin Gao , Shao Jie Hu-Chen , Congyue Deng , Riccardo Marin , Leonidas Guibas , Daniel Cremers

We present an algorithm that automatically establishes dense correspondences between a large number of 3D faces. Starting from automatically detected sparse correspondences on the outer boundary of 3D faces, the algorithm triangulates…

Computer Vision and Pattern Recognition · Computer Science 2019-08-16 Syed Zulqarnain Gilani , Ajmal Mian , Faisal Shafait , Ian Reid

Spurred on by recent successes in causal inference competitions, Bayesian nonparametric (and high-dimensional) methods have recently seen increased attention in the causal inference literature. In this paper, we present a comprehensive…

Methodology · Statistics 2022-01-11 Antonio R. Linero , Joseph L. Antonelli

Multi-view depth estimation plays a critical role in reconstructing and understanding the 3D world. Recent learning-based methods have made significant progress in it. However, multi-view depth estimation is fundamentally a…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Kai Cheng , Hao Chen , Wei Yin , Guangkai Xu , Xuejin Chen

Several recent works have explored stochastic gradient methods for variational inference that exploit the geometry of the variational-parameter space. However, the theoretical properties of these methods are not well-understood and these…

Machine Learning · Statistics 2016-08-15 Mohammad Emtiyaz Khan , Reza Babanezhad , Wu Lin , Mark Schmidt , Masashi Sugiyama

Robust position reconstruction is paramount for enabling discoveries in astroparticle physics as backgrounds are significantly reduced by only considering interactions within the fiducial volume. In this work, we present for the first time…

Instrumentation and Methods for Astrophysics · Physics 2022-05-23 Christina Peters , Aaron Higuera , Shixiao Liang , Venkat Roy , Waheed U. Bajwa , Hagit Shatkay , Christopher D. Tunnell
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