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Analyzing volumetric data with rotational invariance or equivariance is an active topic in current research. Existing deep-learning approaches utilize either group convolutional networks limited to discrete rotations or steerable…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Dmitrii Zhemchuzhnikov , Sergei Grudinin

Recently, many deep neural networks were designed to process 3D point clouds, but a common drawback is that rotation invariance is not ensured, leading to poor generalization to arbitrary orientations. In this paper, we introduce a new…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Xianzhi Li , Ruihui Li , Guangyong Chen , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

We present S2P-Net (Spectral-Spatial Polar Network), a compact deep learning architecture that achieves mathematically guaranteed rotation invariance without data augmentation. In this Paper, we also made a comparison to other neural…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Albert Heruth

Convolutional neural networks have had a great success in numerous tasks, including image classification, object detection, sequence modelling, and many more. It is generally assumed that such neural networks are translation invariant,…

Machine Learning · Statistics 2020-02-07 Vincent Moens , Simiao Yu , Gholamreza Salimi-Khorshidi

3D point clouds deep learning is a promising field of research that allows a neural network to learn features of point clouds directly, making it a robust tool for solving 3D scene understanding tasks. While recent works show that point…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Zhiyuan Zhang , Binh-Son Hua , Sai-Kit Yeung

Learning rotation-invariant distinctive features is a fundamental requirement for point cloud registration. Existing methods often use rotation-sensitive networks to extract features, while employing rotation augmentation to learn an…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Runzhao Yao , Shaoyi Du , Wenting Cui , Canhui Tang , Chengwu Yang

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

Achieving invariance to nuisance transformations is a fundamental challenge in the construction of robust and reliable vision systems. Existing approaches to invariance scale exponentially with the dimension of the family of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Sam Buchanan , Jingkai Yan , Ellie Haber , John Wright

Recent progresses in 3D deep learning has shown that it is possible to design special convolution operators to consume point cloud data. However, a typical drawback is that rotation invariance is often not guaranteed, resulting in networks…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Zhiyuan Zhang , Binh-Son Hua , David W. Rosen , Sai-Kit Yeung

Recent interest in point cloud analysis has led rapid progress in designing deep learning methods for 3D models. However, state-of-the-art models are not robust to rotations, which remains an unknown prior to real applications and harms the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Dingxin Zhang , Jianhui Yu , Chaoyi Zhang , Weidong Cai

In this paper we propose a rotation-invariant deep network for point clouds analysis. Point-based deep networks are commonly designed to recognize roughly aligned 3D shapes based on point coordinates, but suffer from performance drops with…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Ruixuan Yu , Xin Wei , Federico Tombari , Jian Sun

Predicting the evolution of systems that exhibit spatio-temporal dynamics in response to external stimuli is a key enabling technology fostering scientific innovation. Traditional equations-based approaches leverage first principles to…

Machine Learning · Computer Science 2023-05-02 Francesco Regazzoni , Stefano Pagani , Matteo Salvador , Luca Dede' , Alfio Quarteroni

Rotation invariance is essential for precise, object-level segmentation in UAV aerial imagery, where targets can have arbitrary orientations and exhibit fine-scale details. Conventional segmentation architectures like U-Net rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Manduhu Manduhu , Alexander Dow , Gerard Dooly , James Riordan

Achieving rotation invariance in deep neural networks without relying on data has always been a hot research topic. Intrinsic rotation invariance can enhance the model's feature representation capability, enabling better performance in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Hanlin Mo , Guoying Zhao

Point cloud analysis has drawn broader attentions due to its increasing demands in various fields. Despite the impressive performance has been achieved on several databases, researchers neglect the fact that the orientation of those point…

Computer Vision and Pattern Recognition · Computer Science 2019-11-07 Xiao Sun , Zhouhui Lian , Jianguo Xiao

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

Memory and computation efficient deep learning architec- tures are crucial to continued proliferation of machine learning capabili- ties to new platforms and systems. Binarization of operations in convo- lutional neural networks has shown…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Jeng-Hau Lin , Yunfan Yang , Rajesh Gupta , Zhuowen Tu

Recently, the advent of vision Transformer (ViT) has brought substantial advancements in 3D dataset benchmarks, particularly in 3D volumetric medical image segmentation (Vol-MedSeg). Concurrently, multi-layer perceptron (MLP) network has…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Yi Lin , Xiao Fang , Dong Zhang , Kwang-Ting Cheng , Hao Chen

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

This paper analyzes the robustness of recent 3D shape descriptors to SO(3) rotations, something that is fundamental to shape modeling. Specifically, we formulate the task of rotated 3D object instance detection. To do so, we consider a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Supriya Gadi Patil , Angel X. Chang , Manolis Savva
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