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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 address the problem of 3D shape registration and we propose a novel technique based on spectral graph theory and probabilistic matching. The task of 3D shape analysis involves tracking, recognition, registration, etc. Analyzing 3D data…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Avinash Sharma , Radu Horaud , Diana Mateus

3D point cloud registration is a fundamental problem in computer vision and robotics. Recently, learning-based point cloud registration methods have made great progress. However, these methods are sensitive to outliers, which lead to more…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Kexue Fu , Jiazheng Luo , Xiaoyuan Luo , Shaolei Liu , Chenxi Zhang , Manning Wang

Many algorithms for the computation of correspondences between deformable shapes rely on some variant of nearest neighbor matching in a descriptor space. Such are, for example, various point-wise correspondence recovery algorithms used as a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Matthias Vestner , Roee Litman , Emanuele Rodolà , Alex Bronstein , Daniel Cremers

As a primitive 3D data representation, point clouds are prevailing in 3D sensing, yet short of intrinsic structural information of the underlying objects. Such discrepancy poses great challenges on directly establishing correspondences…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Puhua Jiang , Mingze Sun , Ruqi Huang

Non-Rigid Structure-from-Motion (NRSfM) problem aims to recover 3D geometry of a deforming object from its 2D feature correspondences across multiple frames. Classical approaches to this problem assume a small number of feature points and,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Suryansh Kumar , Luc Van Gool , Carlos E. P. de Oliveira , Anoop Cherian , Yuchao Dai , Hongdong Li

Diffeomorphic deformable image registration is one of the crucial tasks in medical image analysis, which aims to find a unique transformation while preserving the topology and invertibility of the transformation. Deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-02-09 Ameneh Sheikhjafari , Michelle Noga , Kumaradevan Punithakumar , Nilanjan Ray

Unsupervised non-rigid point cloud shape correspondence underpins a multitude of 3D vision tasks, yet itself is non-trivial given the exponential complexity stemming from inter-point degree-of-freedom, i.e., pose transformations. Based on…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Ling Wang , Runfa Chen , Yikai Wang , Fuchun Sun , Xinzhou Wang , Sun Kai , Guangyuan Fu , Jianwei Zhang , Wenbing Huang

Non-rigid 3D mesh matching is a critical step in computer vision and computer graphics pipelines. We tackle matching meshes that contain topological artefacts which can break the assumption made by current approaches. While Functional Maps…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Aymen Merrouche , Stefanie Wuhrer , Edmond Boyer

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 introduce a region-specific diffeomorphic metric mapping (RDMM) registration approach. RDMM is non-parametric, estimating spatio-temporal velocity fields which parameterize the sought-for spatial transformation. Regularization of these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Zhengyang Shen , François-Xavier Vialard , Marc Niethammer

Applying data-driven approaches to non-rigid 3D reconstruction has been difficult, which we believe can be attributed to the lack of a large-scale training corpus. Unfortunately, this method fails for important cases such as highly…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Aljaž Božič , Michael Zollhöfer , Christian Theobalt , Matthias Nießner

Despite the success of deep functional maps in non-rigid 3D shape matching, there exists no learning framework that models both self-symmetry and shape matching simultaneously. This is despite the fact that errors due to symmetry mismatch…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Abhishek Sharma , Maks Ovsjanikov

Standard registration algorithms need to be independently applied to each surface to register, following careful pre-processing and hand-tuning. Recently, learning-based approaches have emerged that reduce the registration of new scans to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Mehdi Bahri , Eimear O' Sullivan , Shunwang Gong , Feng Liu , Xiaoming Liu , Michael M. Bronstein , Stefanos Zafeiriou

Image registration is a key technique in medical image analysis to estimate deformations between image pairs. A good deformation model is important for high-quality estimates. However, most existing approaches use ad-hoc deformation models…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Marc Niethammer , Roland Kwitt , Francois-Xavier Vialard

Learning 3D shape representation with dense correspondence for deformable objects is a fundamental problem in computer vision. Existing approaches often need additional annotations of specific semantic domain, e.g., skeleton poses for human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Baowen Zhang , Jiahe Li , Xiaoming Deng , Yinda Zhang , Cuixia Ma , Hongan Wang

Recently, deep-learning-based approaches have been widely studied for deformable image registration task. However, most efforts directly map the composite image representation to spatial transformation through the convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-07-08 Jiashun Chen , Donghuan Lu , Yu Zhang , Dong Wei , Munan Ning , Xinyu Shi , Zhe Xu , Yefeng Zheng

In this paper, we propose a fully differentiable pipeline for estimating accurate dense correspondences between 3D point clouds. The proposed pipeline is an extension and a generalization of the functional maps framework. However, instead…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Riccardo Marin , Marie-Julie Rakotosaona , Simone Melzi , Maks Ovsjanikov

Establishing accurate point-to-point correspondences between non-rigid 3D shapes remains a critical challenge, particularly under non-isometric deformations and topological noise. Existing functional map pipelines suffer from ambiguities…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Tianwei Ye , Xiaoguang Mei , Yifan Xia , Fan Fan , Jun Huang , Jiayi Ma

Although 3D shape matching and interpolation are highly interrelated, they are often studied separately and applied sequentially to relate different 3D shapes, thus resulting in sub-optimal performance. In this work we present a unified…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Dongliang Cao , Marvin Eisenberger , Nafie El Amrani , Daniel Cremers , Florian Bernard