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We present group equivariant capsule networks, a framework to introduce guaranteed equivariance and invariance properties to the capsule network idea. Our work can be divided into two contributions. First, we present a generic routing by…

Computer Vision and Pattern Recognition · Computer Science 2018-10-25 Jan Eric Lenssen , Matthias Fey , Pascal Libuschewski

Point cloud registration is a key task in many computational fields. Previous correspondence matching based methods require the inputs to have distinctive geometric structures to fit a 3D rigid transformation according to point-wise sparse…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Hao Xu , Shuaicheng Liu , Guangfu Wang , Guanghui Liu , Bing Zeng

The irregularity and permutation invariance of point cloud data pose challenges for effective learning. Conventional methods for addressing this issue involve converting raw point clouds to intermediate representations such as 3D voxel…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Athrva Atul Pandhare

Point clouds data, as one kind of representation of 3D objects, are the most primitive output obtained by 3D sensors. Unlike 2D images, point clouds are disordered and unstructured. Hence it is not straightforward to apply classification…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Zhuyang Xie , Junzhou Chen , Bo Peng

Equivariance has gained strong interest as a desirable network property that inherently ensures robust generalization. However, when dealing with complex systems such as articulated objects or multi-object scenes, effectively capturing…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Congyue Deng , Jiahui Lei , Bokui Shen , Kostas Daniilidis , Leonidas Guibas

Many problems in computer vision require dealing with sparse, unordered data in the form of point clouds. Permutation-equivariant networks have become a popular solution-they operate on individual data points with simple perceptrons and…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Weiwei Sun , Wei Jiang , Eduard Trulls , Andrea Tagliasacchi , Kwang Moo Yi

Unsupervised point cloud completion aims at estimating the corresponding complete point cloud of a partial point cloud in an unpaired manner. It is a crucial but challenging problem since there is no paired partial-complete supervision that…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Yingjie Cai , Kwan-Yee Lin , Chao Zhang , Qiang Wang , Xiaogang Wang , Hongsheng Li

Point clouds are an increasingly relevant data type but they are often corrupted by noise. We propose a deep neural network based on graph-convolutional layers that can elegantly deal with the permutation-invariance problem encountered by…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Francesca Pistilli , Giulia Fracastoro , Diego Valsesia , Enrico Magli

Some self-supervised cross-modal learning approaches have recently demonstrated the potential of image signals for enhancing point cloud representation. However, it remains a question on how to directly model cross-modal local and global…

Computer Vision and Pattern Recognition · Computer Science 2022-11-24 Honggu Zhou , Xiaogang Peng , Jiawei Mao , Zizhao Wu , Ming Zeng

Point cloud processing poses two fundamental challenges: establishing consistent point ordering and effectively learning fine-grained geometric features. Current architectures rely on complex operations that limit expressivity while…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Benjy Friedmann , Michael Werman

Three dimensional (3D) object recognition is becoming a key desired capability for many computer vision systems such as autonomous vehicles, service robots and surveillance drones to operate more effectively in unstructured environments.…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Chenxi Xiao , Juan Wachs

How can we edit or transform the geometric or color property of a point cloud? In this study, we propose a neural style transfer method for point clouds which allows us to transfer the style of geometry or color from one point cloud either…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Xu Cao , Weimin Wang , Katashi Nagao

Data over non-Euclidean manifolds, often discretized as surface meshes, naturally arise in computer graphics and biological and physical systems. In particular, solutions to partial differential equations (PDEs) over manifolds depend…

Machine Learning · Computer Science 2023-11-06 Jung Yeon Park , Lawson L. S. Wong , Robin Walters

The ability to predict future structure features of environments based on past perception information is extremely needed by autonomous vehicles, which helps to make the following decision-making and path planning more reasonable. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Zhen Luo , Junyi Ma , Zijie Zhou , Guangming Xiong

Transformer plays an increasingly important role in various computer vision areas and remarkable achievements have also been made in point cloud analysis. Since they mainly focus on point-wise transformer, an adaptive channel encoding…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Guoquan Xu , Hezhi Cao , Yifan Zhang , Yanxin Ma , Jianwei Wan , Ke Xu

Machine learning for point clouds has been attracting much attention, with many applications in various fields, such as shape recognition and material science. For enhancing the accuracy of such machine learning methods, it is often…

Machine Learning · Computer Science 2023-12-29 Naoki Nishikawa , Yuichi Ike , Kenji Yamanishi

Object point cloud classification has drawn great research attention since the release of benchmarking datasets, such as the ModelNet and the ShapeNet. These benchmarks assume point clouds covering complete surfaces of object instances, for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Zelin Xu , Ke Chen , Kangjun Liu , Changxing Ding , Yaowei Wang , Kui Jia

Objects in aerial images have greater variations in scale and orientation than in typical images, so detection is more difficult. Convolutional neural networks use a variety of frequency- and orientation-specific kernels to identify objects…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Guo-Ye Yang , Xiang-Li Li , Ralph R. Martin , Shi-Min Hu

We introduce a simple permutation equivariant layer for deep learning with set structure.This type of layer, obtained by parameter-sharing, has a simple implementation and linear-time complexity in the size of each set. We use deep…

Machine Learning · Statistics 2017-02-27 Siamak Ravanbakhsh , Jeff Schneider , Barnabas Poczos

Point cloud analysis (such as 3D segmentation and detection) is a challenging task, because of not only the irregular geometries of many millions of unordered points, but also the great variations caused by depth, viewpoint, occlusion, etc.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Tuo Feng , Wenguan Wang , Xiaohan Wang , Yi Yang , Qinghua Zheng