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We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Zorah Lähner , Matthias Vestner , Amit Boyarski , Or Litany , Ron Slossberg , Tal Remez , Emanuele Rodolà , Alex Bronstein , Michael Bronstein , Ron Kimmel , Daniel Cremers

Many innovative applications require establishing correspondences among 3D geometric objects. However, the countless possible deformations of smooth surfaces make shape matching a challenging task. Finding an embedding to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Riccardo Marin , Souhaib Attaiki , Simone Melzi , Emanuele Rodolà , Maks Ovsjanikov

This paper uses clustering algorithms to introduce a shape framework for deformable objects. Until now, the shape detection of the deformable objects has faced several challenges: 1) unable to form a unified framework for multiple shapes;…

Robotics · Computer Science 2023-12-19 Fangqing Chen

This paper introduces a novel self-supervised learning framework for enhancing 3D perception in autonomous driving scenes. Specifically, our approach, namely NCLR, focuses on 2D-3D neural calibration, a novel pretext task that estimates the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Yifan Zhang , Junhui Hou , Siyu Ren , Jinjian Wu , Yixuan Yuan , Guangming Shi

Graph-based methods have proven to be effective in capturing relationships among points for 3D point cloud analysis. However, these methods often suffer from suboptimal graph structures, particularly due to sparse connections at boundary…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Shangbo Yuan , Jie Xu , Ping Hu , Xiaofeng Zhu , Na Zhao

3D single object tracking remains a challenging problem due to the sparsity and incompleteness of the point clouds. Existing algorithms attempt to address the challenges in two strategies. The first strategy is to learn dense geometric…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Jingwen Zhang , Zikun Zhou , Guangming Lu , Jiandong Tian , Wenjie Pei

Image matching, which establishes correspondences between two-view images to recover 3D structure and camera geometry, serves as a cornerstone in computer vision and underpins a wide range of applications, including visual localization, 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Shihua Zhang , Zizhuo Li , Kaining Zhang , Yifan Lu , Yuxin Deng , Linfeng Tang , Xingyu Jiang , Jiayi Ma

3D perception of object shapes from RGB image input is fundamental towards semantic scene understanding, grounding image-based perception in our spatially 3-dimensional real-world environments. To achieve a mapping between image views of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Weicheng Kuo , Anelia Angelova , Tsung-Yi Lin , Angela Dai

This paper presents iMatcher, a fully differentiable framework for feature matching in point cloud registration. The proposed method leverages learned features to predict a geometrically consistent confidence matrix, incorporating both…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Karim Slimani , Catherine Achard , Brahim Tamadazte

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

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

We present G-MSM (Graph-based Multi-Shape Matching), a novel unsupervised learning approach for non-rigid shape correspondence. Rather than treating a collection of input poses as an unordered set of samples, we explicitly model the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Marvin Eisenberger , Aysim Toker , Laura Leal-Taixé , Daniel Cremers

We introduce pointwise map smoothness via the Dirichlet energy into the functional map pipeline, and propose an algorithm for optimizing it efficiently, which leads to high-quality results in challenging settings. Specifically, we first…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Robin Magnet , Jing Ren , Olga Sorkine-Hornung , Maks Ovsjanikov

We introduce Rectified Point Flow, a unified parameterization that formulates pairwise point cloud registration and multi-part shape assembly as a single conditional generative problem. Given unposed point clouds, our method learns a…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Tao Sun , Liyuan Zhu , Shengyu Huang , Shuran Song , Iro Armeni

Geometric consistency, i.e. the preservation of neighbourhoods, is a natural and strong prior in 3D shape matching. Geometrically consistent matchings are crucial for many downstream applications, such as texture transfer or statistical…

Graphics · Computer Science 2025-07-30 Paul Roetzer , Florian Bernard

Critical to the registration of point clouds is the establishment of a set of accurate correspondences between points in 3D space. The correspondence problem is generally addressed by the design of discriminative 3D local descriptors on the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Lei Zhou , Siyu Zhu , Zixin Luo , Tianwei Shen , Runze Zhang , Mingmin Zhen , Tian Fang , Long Quan

Finding correspondences between 3D shapes is an important and long-standing problem in computer vision, graphics and beyond. A prominent challenge are partial-to-partial shape matching settings, which occur when the shapes to match are only…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Viktoria Ehm , Maolin Gao , Paul Roetzer , Marvin Eisenberger , Daniel Cremers , Florian Bernard

Many objects, especially these made by humans, are symmetric, e.g. cars and aeroplanes. This paper addresses the estimation of 3D structures of symmetric objects from multiple images of the same object category, e.g. different cars, seen…

Computer Vision and Pattern Recognition · Computer Science 2016-09-23 Yuan Gao , Alan Yuille

LiDAR mapping is important yet challenging in self-driving and mobile robotics. To tackle such a global point cloud registration problem, DeepMapping converts the complex map estimation into a self-supervised training of simple deep…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Chao Chen , Xinhao Liu , Yiming Li , Li Ding , Chen Feng

Multiview point cloud registration is a fundamental task for constructing globally consistent 3D models. Existing approaches typically rely on feature extraction and data association across multiple point clouds; however, these processes…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Yiran Zhou , Yingyu Wang , Shoudong Huang , Liang Zhao