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A novel solution is obtained to solve the rigid 3D registration problem, motivated by previous eigen-decomposition approaches. Different from existing solvers, the proposed algorithm does not require sophisticated matrix operations e.g.…

Systems and Control · Computer Science 2018-07-03 Jin Wu , Ming Liu , Zebo Zhou , Rui Li

Unsupervised point cloud shape correspondence aims to obtain dense point-to-point correspondences between point clouds without manually annotated pairs. However, humans and some animals have bilateral symmetry and various orientations,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Jiacheng Deng , Chuxin Wang , Jiahao Lu , Jianfeng He , Tianzhu Zhang , Jiyang Yu , Zhe Zhang

Existing methods for rotation estimation between two spherical ($\mathbb{S}^2$) patterns typically rely on spherical cross-correlation maximization between two spherical function. However, these approaches exhibit computational complexities…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Anik Sarker , Alan T. Asbeck

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

SO(3) equivariant graph neural networks have become the dominant paradigm for atomistic foundation models, achieving high accuracy and data efficiency by building rotational symmetry directly into the architecture. Yet the computational…

Machine Learning · Computer Science 2026-05-12 Chen Wang , Siyu Hu , Guangming Tan , Weile Jia

Representing 3D shape in deep learning frameworks in an accurate, efficient and compact manner still remains an open challenge. Most existing work addresses this issue by employing voxel-based representations. While these approaches benefit…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Dominic Jack , Jhony K. Pontes , Sridha Sridharan , Clinton Fookes , Sareh Shirazi , Frederic Maire , Anders Eriksson

Point cloud analysis without pose priors is very challenging in real applications, as the orientations of point clouds are often unknown. In this paper, we propose a brand new point-set learning framework PRIN, namely, Pointwise…

Computer Vision and Pattern Recognition · Computer Science 2019-12-06 Yang You , Yujing Lou , Qi Liu , Yu-Wing Tai , Lizhuang Ma , Cewu Lu , Weiming Wang

We propose a systematic approach for registering cross-source point clouds. The compelling need for cross-source point cloud registration is motivated by the rapid development of a variety of 3D sensing techniques, but many existing…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Xiaoshui Huang , Jian Zhang , Lixin Fan , Qiang Wu , Chun Yuan

We present an approach to learning features that represent the local geometry around a point in an unstructured point cloud. Such features play a central role in geometric registration, which supports diverse applications in robotics and 3D…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Marc Khoury , Qian-Yi Zhou , Vladlen Koltun

Rotational symmetry plays a central role in physics, providing an elegant framework to describe how the properties of 3D objects -- from atoms to the macroscopic scale -- transform under the action of rigid rotations. Equivariant models of…

Chemical Physics · Physics 2025-10-28 Michelangelo Domina , Filippo Bigi , Paolo Pegolo , Michele Ceriotti

Representations are a foundational component of any modelling protocol, including on molecules and molecular solids. For tasks that depend on knowledge of both molecular conformation and 3D orientation, such as the modelling of molecular…

Machine Learning · Computer Science 2026-03-17 Michael Kilgour , Mark Tuckerman , Jutta Rogal

Point cloud registration involves determining a rigid transformation to align a source point cloud with a target point cloud. This alignment is fundamental in applications such as autonomous driving, robotics, and medical imaging, where…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Yu-Xin Zhang , Jie Gui , Baosheng Yu , Xiaofeng Cong , Xin Gong , Wenbing Tao , Dacheng Tao

In recent years, neural implicit representations have made remarkable progress in modeling of 3D shapes with arbitrary topology. In this work, we address two key limitations of such representations, in failing to capture local 3D geometric…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Yunlu Chen , Basura Fernando , Hakan Bilen , Matthias Nießner , Efstratios Gavves

In this paper, we propose an algorithm for registering sequential bounding boxes with point cloud streams. Unlike popular point cloud registration techniques, the alignment of the point cloud and the bounding box can rely on the properties…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Xuesong Li , Xinge Zhu , Yuexin Ma , Subhan Khan , Jose Guivant

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

Based on the theory of homogeneous spaces we derive geometrically optimal edge attributes to be used within the flexible message-passing framework. We formalize the notion of weight sharing in convolutional networks as the sharing of…

Machine Learning · Computer Science 2024-03-18 Erik J Bekkers , Sharvaree Vadgama , Rob D Hesselink , Putri A van der Linden , David W Romero

Rotational invariance is a popular inductive bias used by many fields in machine learning, such as computer vision and machine learning for quantum chemistry. Rotation-invariant machine learning methods set the state of the art for many…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Owen Melia , Eric Jonas , Rebecca Willett

Traditional algorithms of point set registration minimizing point-to-plane distances often achieve a better estimation of rigid transformation than those minimizing point-to-point distances. Nevertheless, recent deep-learning-based methods…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Tatsuya Yatagawa , Yutaka Ohtake , Hiromasa Suzuki

Point cloud registration aligns multiple unposed point clouds into a common reference frame and is a core step for 3D reconstruction and robot localization without initial guess. In this work, we cast registration as conditional generation:…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yue Pan , Tao Sun , Liyuan Zhu , Lucas Nunes , Iro Armeni , Jens Behley , Cyrill Stachniss

Feature descriptors of point clouds are used in several applications, such as registration and part segmentation of 3D point clouds. Learning discriminative representations of local geometric features is unquestionably the most important…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Seunghwan Jung , Yeong-Gil Shin , Minyoung Chung