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Learning about the three-dimensional world from two-dimensional images is a fundamental problem in computer vision. An ideal neural network architecture for such tasks would leverage the fact that objects can be rotated and translated in…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Owen Howell , David Klee , Ondrej Biza , Linfeng Zhao , Robin Walters

Predicting the pose of objects from a single image is an important but difficult computer vision problem. Methods that predict a single point estimate do not predict the pose of objects with symmetries well and cannot represent uncertainty.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 David M. Klee , Ondrej Biza , Robert Platt , Robin Walters

6D pose estimation of rigid objects from RGB-D images is crucial for object grasping and manipulation in robotics. Although RGB channels and the depth (D) channel are often complementary, providing respectively the appearance and geometry…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Haoran Pan , Jun Zhou , Yuanpeng Liu , Xuequan Lu , Weiming Wang , Xuefeng Yan , Mingqiang Wei

3D pose estimation is a key component of many important computer vision tasks such as autonomous navigation and 3D scene understanding. Most state-of-the-art approaches to 3D pose estimation solve this problem as a pose-classification…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Siddharth Mahendran , Haider Ali , Rene Vidal

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

Image and Video Processing · Electrical Eng. & Systems 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

We address the problem of 3D rotation equivariance in convolutional neural networks. 3D rotations have been a challenging nuisance in 3D classification tasks requiring higher capacity and extended data augmentation in order to tackle it. We…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Carlos Esteves , Christine Allen-Blanchette , Ameesh Makadia , Kostas Daniilidis

Omnidirectional images and spherical representations of $3D$ shapes cannot be processed with conventional 2D convolutional neural networks (CNNs) as the unwrapping leads to large distortion. Using fast implementations of spherical and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Suhas Lohit , Shubhendu Trivedi

Learning to predict reliable characteristic orientations of 3D point clouds is an important yet challenging problem, as different point clouds of the same class may have largely varying appearances. In this work, we introduce a novel method…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Seungwook Kim , Chunghyun Park , Yoonwoo Jeong , Jaesik Park , Minsu Cho

Defining and reliably finding a canonical orientation for 3D surfaces is key to many Computer Vision and Robotics applications. This task is commonly addressed by handcrafted algorithms exploiting geometric cues deemed as distinctive and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-16 Riccardo Spezialetti , Federico Stella , Marlon Marcon , Luciano Silva , Samuele Salti , Luigi Di Stefano

Accurate 6D object pose estimation is fundamental to robotic manipulation and grasping. Previous methods follow a local optimization approach which minimizes the distance between closest point pairs to handle the rotation ambiguity of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Meng Tian , Liang Pan , Marcelo H Ang , Gim Hee Lee

Learning neural implicit fields of 3D shapes is a rapidly emerging field that enables shape representation at arbitrary resolutions. Due to the flexibility, neural implicit fields have succeeded in many research areas, including shape…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Yifei Shi , Boyan Wan , Xin Xu , Kai Xu

LiDAR-based place recognition plays a crucial role in Simultaneous Localization and Mapping (SLAM) and LiDAR localization. Despite the emergence of various deep learning-based and hand-crafting-based methods, rotation-induced place…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Gengxuan Tian , Junqiao Zhao , Yingfeng Cai , Fenglin Zhang , Wenjie Mu , Chen Ye

The usage of 3D vision algorithms, such as shape reconstruction, remains limited because they require inputs to be at a fixed canonical rotation. Recently, a simple equivariant network, Vector Neuron (VN) has been proposed that can be…

Computer Vision and Pattern Recognition · Computer Science 2024-05-09 Dongwon Son , Jaehyung Kim , Sanghyeon Son , Beomjoon Kim

Spherical convolutional networks have been introduced recently as tools to learn powerful feature representations of 3D shapes. Spherical CNNs are equivariant to 3D rotations making them ideally suited to applications where 3D data may be…

Computer Vision and Pattern Recognition · Computer Science 2019-05-16 Carlos Esteves , Avneesh Sud , Zhengyi Luo , Kostas Daniilidis , Ameesh Makadia

Deploying 3D graph neural networks (GNNs) that are equivariant to 3D rotations (the group SO(3)) on edge devices is challenging due to their high computational cost. This paper addresses the problem by compressing and accelerating an…

Machine Learning · Computer Science 2026-03-04 Haoyu Zhou , Ping Xue , Hao Zhang , Tianfan Fu

This paper proposes a convolution structure for learning SE(3)-equivariant features from 3D point clouds. It can be viewed as an equivariant version of kernel point convolutions (KPConv), a widely used convolution form to process point…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Minghan Zhu , Maani Ghaffari , William A. Clark , Huei Peng

With an aim to increase the capture range and accelerate the performance of state-of-the-art inter-subject and subject-to-template 3D registration, we propose deep learning-based methods that are trained to find the 3D position of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-21 Seyed Sadegh Mohseni Salehi , Shadab Khan , Deniz Erdogmus , Ali Gholipour

Point cloud registration is crucial for ensuring 3D alignment consistency of multiple local point clouds in 3D reconstruction for remote sensing or digital heritage. While various point cloud-based registration methods exist, both…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Xueyang Kang , Hang Zhao , Kourosh Khoshelham , Patrick Vandewalle

As a basic component of SE(3)-equivariant deep feature learning, steerable convolution has recently demonstrated its advantages for 3D semantic analysis. The advantages are, however, brought by expensive computations on dense, volumetric…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Jiehong Lin , Hongyang Li , Ke Chen , Jiangbo Lu , Kui Jia

We propose a method for 3D shape reconstruction from unoriented point clouds. Our method consists of a novel SE(3)-equivariant coordinate-based network (TF-ONet), that parametrizes the occupancy field of the shape and respects the inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Evangelos Chatzipantazis , Stefanos Pertigkiozoglou , Edgar Dobriban , Kostas Daniilidis
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