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Related papers: ENIGMA: Evolutionary Non-Isometric Geometry Matchi…

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The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Feng Liu , Xiaoming Liu

We consider the problem of computing accurate point-to-point correspondences among a set of human face scans with varying expressions. Our fully automatic approach does not require any manually placed markers on the scan. Instead, the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-30 Augusto Salazar , Stefanie Wuhrer , Chang Shu , Flavio Prieto

In this paper, we propose a learning-based framework for non-rigid shape registration without correspondence supervision. Traditional shape registration techniques typically rely on correspondences induced by extrinsic proximity, therefore…

Computer Vision and Pattern Recognition · Computer Science 2023-11-09 Puhua Jiang , Mingze Sun , Ruqi Huang

In this paper, we consider the problem of finding dense intrinsic correspondence between manifolds using the recently introduced functional framework. We pose the functional correspondence problem as matrix completion with manifold…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Artiom Kovnatsky , Michael M. Bronstein , Xavier Bresson , Pierre Vandergheynst

We present a novel learning-based approach for computing correspondences between non-rigid 3D shapes. Unlike previous methods that either require extensive training data or operate on handcrafted input descriptors and thus generalize poorly…

Machine Learning · Statistics 2020-04-01 Nicolas Donati , Abhishek Sharma , Maks Ovsjanikov

In this work, we focus on the task of learning and representing dense correspondences in deformable object categories. While this problem has been considered before, solutions so far have been rather ad-hoc for specific object types (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Natalia Neverova , David Novotny , Vasil Khalidov , Marc Szafraniec , Patrick Labatut , Andrea Vedaldi

We present a novel shape-approximating anisotropic re-meshing algorithm as a geometric generalization of the adaptive moving mesh method. Conventional moving mesh methods reduce the interpolation error of a mesh that discretizes a given…

Computational Geometry · Computer Science 2023-06-21 Nicolas Nebel , Albert Chern

This paper studies the problem of matching two complete graphs with edge weights correlated through latent geometries, extending a recent line of research on random graph matching with independent edge weights to geometric models.…

Statistics Theory · Mathematics 2022-02-25 Haoyu Wang , Yihong Wu , Jiaming Xu , Israel Yolou

Particle-based shape modeling (PSM) is a family of approaches that automatically quantifies shape variability across anatomical cohorts by positioning particles (pseudo landmarks) on shape surfaces in a consistent configuration. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-07-11 Hong Xu , Shireen Y. Elhabian

Affine correspondences have received significant attention due to their benefits in tasks like image matching and pose estimation. Existing methods for extracting affine correspondences still have many limitations in terms of performance;…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Pengju Sun , Banglei Guan , Zhenbao Yu , Yang Shang , Qifeng Yu , Daniel Barath

This paper introduces a new shape-matching methodology, combinative matching, to combine interlocking parts for geometric shape assembly. Previous methods for geometric assembly typically rely on aligning parts by finding identical surfaces…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Nahyuk Lee , Juhong Min , Junhong Lee , Chunghyun Park , Minsu Cho

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

Non-isometric shape correspondence remains a fundamental challenge in computer vision. Traditional methods using Laplace-Beltrami operator (LBO) eigenmodes face limitations in characterizing high-frequency extrinsic shape changes like…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Lennart Bastian , Yizheng Xie , Nassir Navab , Zorah Lähner

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

Despite advances in feature representation, leveraging geometric relations is crucial for establishing reliable visual correspondences under large variations of images. In this work we introduce a Hough transform perspective on…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Juhong Min , Minsu Cho

Establishing dense correspondences between shapes is a crucial task in computer vision and graphics, while prior approaches depend on near-isometric assumptions and homogeneous subject types (i.e., only operate for human shapes). However,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Qinfeng Xiao , Guofeng Mei , Bo Yang , Liying Zhang , Jian Zhang , Kit-lun Yick

Despite advances in feature representation, leveraging geometric relations is crucial for establishing reliable visual correspondences under large variations of images. In this work we introduce a Hough transform perspective on…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Juhong Min , Seungwook Kim , Minsu Cho

In this work, we present a novel approach for solving stochastic shape optimization problems. Our method is the extension of the classical stochastic gradient method to infinite-dimensional shape manifolds. We prove convergence of the…

Optimization and Control · Mathematics 2020-11-03 Caroline Geiersbach , Estefania Loayza-Romero , Kathrin Welker

This paper puts forth a new formulation and algorithm for the elastic matching problem on unparametrized curves and surfaces. Our approach combines the frameworks of square root normal fields and varifold fidelity metrics into a novel…

Differential Geometry · Mathematics 2019-03-05 Martin Bauer , Nicolas Charon , Philipp Harms

We propose a deep learning approach for finding dense correspondences between 3D scans of people. Our method requires only partial geometric information in the form of two depth maps or partial reconstructed surfaces, works for humans in…

Computer Vision and Pattern Recognition · Computer Science 2016-06-28 Lingyu Wei , Qixing Huang , Duygu Ceylan , Etienne Vouga , Hao Li