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Rotation search and point cloud registration are two fundamental problems in robotics and computer vision, which aim to estimate the rotation and the transformation between the 3D vector sets and point clouds, respectively. Due to the…

Robotics · Computer Science 2021-05-11 Lei Sun

We present a new method for real-time non-rigid dense correspondence between point clouds based on structured shape construction. Our method, termed Deep Point Correspondence (DPC), requires a fraction of the training data compared to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Itai Lang , Dvir Ginzburg , Shai Avidan , Dan Raviv

We consider an involutive automorphism of the conformal algebra and the resulting symmetric space. We display a new action of the conformal group which gives rise to this space. The space has an intrinsic symplectic structure, a…

High Energy Physics - Theory · Physics 2007-05-23 Andre Wehner

Point cloud registration plays a crucial role in various fields, including robotics, computer graphics, and medical imaging. This process involves determining spatial relationships between different sets of points, typically within a 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Yikun Bai , Huy Tran , Steven B. Damelin , Soheil Kolouri

Despite recent success in incorporating learning into point cloud registration, many works focus on learning feature descriptors and continue to rely on nearest-neighbor feature matching and outlier filtering through RANSAC to obtain the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zi Jian Yew , Gim Hee Lee

The comparison of current image data with existing 3D model data of a scene provides an efficient method to keep models up to date. In order to transfer information between 2D and 3D data, a preliminary co-registration is necessary. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Sylvia Schmitz , Martin Weinmann , Boitumelo Ruf

Correspondence-based shape models are key to various medical imaging applications that rely on a statistical analysis of anatomies. Such shape models are expected to represent consistent anatomical features across the population for…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Praful Agrawal , Ross T. Whitaker , Shireen Y. Elhabian

We present a novel, end-to-end learnable, multiview 3D point cloud registration algorithm. Registration of multiple scans typically follows a two-stage pipeline: the initial pairwise alignment and the globally consistent refinement. The…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Zan Gojcic , Caifa Zhou , Jan D. Wegner , Leonidas J. Guibas , Tolga Birdal

Differentiable rendering is a technique to connect 3D scenes with corresponding 2D images. Since it is differentiable, processes during image formation can be learned. Previous approaches to differentiable rendering focus on mesh-based…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Cong Gao , Xingtong Liu , Wenhao Gu , Benjamin Killeen , Mehran Armand , Russell Taylor , Mathias Unberath

Point cloud registration is a classical topic in the field of 3D Vision and Computer Graphics. Generally, the implementation of registration is typically sensitive to similarity transformations (translation, scaling, and rotation), noisy…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Chenlei Lv , Hui Huang

Consider $N$ points in $\mathbb{R}^d$ and $M$ local coordinate systems that are related through unknown rigid transforms. For each point we are given (possibly noisy) measurements of its local coordinates in some of the coordinate systems.…

Computer Vision and Pattern Recognition · Computer Science 2014-12-24 Kunal N. Chaudhury , Yuehaw Khoo , Amit Singer

We consider codimension 2 sphere congruences in pseudo-conformal geometry that are harmonic with respect to the conformal structure of an orthogonal surface. We characterise the orthogonal surfaces of such congruences as either $S$-Willmore…

Differential Geometry · Mathematics 2022-11-01 Francis Burstall , Emilio Musso , Mason Pember

While much progress has been made on the task of 3D point cloud registration, there still exists no learning-based method able to estimate the 6D pose of an object observed by a 2.5D sensor in a scene. The challenges of this scenario…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Zheng Dang , Fei Wang , Mathieu Salzmann

Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformations in projective geometry, which helps when it comes to…

Computational Geometry · Computer Science 2007-05-23 Chris Doran , Anthony Lasenby , Joan Lasenby

PointNet has recently emerged as a popular representation for unstructured point cloud data, allowing application of deep learning to tasks such as object detection, segmentation and shape completion. However, recent works in literature…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Vinit Sarode , Xueqian Li , Hunter Goforth , Yasuhiro Aoki , Animesh Dhagat , Rangaprasad Arun Srivatsan , Simon Lucey , Howie Choset

This paper presents a method to obtain geometric registrations between high-genus ($g\geq 1$) surfaces. Surface registration between simple surfaces, such as simply-connected open surfaces, has been well studied. However, very few works…

Computational Geometry · Computer Science 2014-03-27 Chengfeng Wen , Lok Ming Lui

Large-scale scene point cloud registration with limited overlap is a challenging task due to computational load and constrained data acquisition. To tackle these issues, we propose a point cloud registration method, MT-PCR, based on…

Robotics · Computer Science 2025-03-18 Yilong Wu , Yifan Duan , Yuxi Chen , Xinran Zhang , Yedong Shen , Jianmin Ji , Yanyong Zhang , Lu Zhang

This work addresses the problem of point cloud registration using deep neural networks. We propose an approach to predict the alignment between two point clouds with overlapping data content, but displaced origins. Such point clouds…

Computer Vision and Pattern Recognition · Computer Science 2021-01-14 Markus Horn , Nico Engel , Vasileios Belagiannis , Michael Buchholz , Klaus Dietmayer

Autonomous robots operating in real-world environments encounter a variety of objects that can be both rigid and articulated in nature. Having knowledge of these specific object properties not only helps in designing appropriate…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Ayush Aggarwal , Rustam Stolkin , Naresh Marturi

Point cloud registration is a fundamental task in 3D vision. Most existing methods only use geometric information for registration. Recently proposed RGB-D registration methods primarily focus on feature fusion or improving feature…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Congjia Chen , Shen Yan , Yufu Qu