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With the advancement of computer technology, there is a surge of interest in effective mapping methods for objects in higher-dimensional spaces. To establish a one-to-one correspondence between objects, higher-dimensional quasi-conformal…

Computational Geometry · Computer Science 2022-06-30 Daoping Zhang , Gary P. T. Choi , Jianping Zhang , Lok Ming Lui

Estimating correspondences between pairs of deformable shapes remains a challenging problem. Despite substantial progress, existing methods lack broad generalization capabilities and require category-specific training data. To address these…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Aleksei Zhuravlev , Zorah Lähner , Vladislav Golyanik

In this work, we introduce a novel local pairwise descriptor and then develop a simple, effective iterative method to solve the resulting quadratic assignment through sparsity control for shape correspondence between two approximate…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Rui Xiang , Rongjie Lai , Hongkai Zhao

We propose a new method to obtain landmark-matching transformations between n-dimensional Euclidean spaces with large deformations. Given a set of feature correspondences, our algorithm searches for an optimal folding-free mapping that…

Computational Geometry · Computer Science 2015-05-12 Lee Yin Tat , Lam Ka Chun , Lui Lok Ming

We propose a novel algorithm for the fitting of 3D human shape to images. Combining the accuracy and refinement capabilities of iterative gradient-based optimization techniques with the robustness of deep neural networks, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Jie Song , Xu Chen , Otmar Hilliges

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

In this paper, we present DV-Matcher, a novel learning-based framework for estimating dense correspondences between non-rigidly deformable point clouds. Learning directly from unstructured point clouds without meshing or manual labelling,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Zhangquan Chen , Puhua Jiang , Ruqi Huang

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

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

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

We propose a method for efficiently computing orientation-preserving and approximately continuous correspondences between non-rigid shapes, using the functional maps framework. We first show how orientation preservation can be formulated…

Graphics · Computer Science 2018-10-04 Jing Ren , Adrien Poulenard , Peter Wonka , Maks Ovsjanikov

We propose a fully automatic method for fitting a 3D morphable model to single face images in arbitrary pose and lighting. Our approach relies on geometric features (edges and landmarks) and, inspired by the iterated closest point…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Anil Bas , William A. P. Smith , Timo Bolkart , Stefanie Wuhrer

We address the problem of finding reliable dense correspondences between a pair of images. This is a challenging task due to strong appearance differences between the corresponding scene elements and ambiguities generated by repetitive…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Ignacio Rocco , Mircea Cimpoi , Relja Arandjelović , Akihiko Torii , Tomas Pajdla , Josef Sivic

We address the problem of determining correspondences between two images in agreement with a geometric model such as an affine or thin-plate spline transformation, and estimating its parameters. The contributions of this work are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Ignacio Rocco , Relja Arandjelović , Josef Sivic

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

Shape retrieval and alignment are a promising avenue towards turning 3D scans into lightweight CAD representations that can be used for content creation such as mobile or AR/VR gaming scenarios. Unfortunately, CAD model retrieval is limited…

Computer Vision and Pattern Recognition · Computer Science 2020-07-24 Vladislav Ishimtsev , Alexey Bokhovkin , Alexey Artemov , Savva Ignatyev , Matthias Niessner , Denis Zorin , Evgeny Burnaev

This paper presents a generalization to image matching of the Hamiltonian approach for planar curve matching developed in the context of group of diffeomorphisms. We propose an efficient framework to deal with discontinuous images in any…

Optimization and Control · Mathematics 2008-01-15 François-Xavier Vialard

We propose the Canonical 3D Deformer Map, a new representation of the 3D shape of common object categories that can be learned from a collection of 2D images of independent objects. Our method builds in a novel way on concepts from…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 David Novotny , Roman Shapovalov , Andrea Vedaldi

3D shape matching is a long-standing problem in computer vision and computer graphics. While deep neural networks were shown to lead to state-of-the-art results in shape matching, existing learning-based approaches are limited in the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Dongliang Cao , Florian Bernard

We present a mathematical and algorithmic scheme for learning the principal geometric elements in an image or 3D object. We build on recent work that convexifies the basic problem of finding a combination of a small number shapes that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-05 Alireza Aghasi , Justin Romberg