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Topological data analysis provides a set of tools to uncover low-dimensional structure in noisy point clouds. Prominent amongst the tools is persistence homology, which summarizes birth-death times of homological features using data objects…

Methodology · Statistics 2024-02-05 James Matuk , Sebastian Kurtek , Karthik Bharath

This paper describes a neural network layer, named Ursa, that uses a constellation of points to learn classification information from point cloud data. Unlike other machine learning classification problems where the task is to classify an…

Computer Vision and Pattern Recognition · Computer Science 2018-10-25 Mark B. Skouson , Brett J. Borghetti , Robert C. Leishman

Despite the fact that object detection, 3D pose estimation, and sub-category recognition are highly correlated tasks, they are usually addressed independently from each other because of the huge space of parameters. To jointly model all of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-13 Roozbeh Mottaghi , Yu Xiang , Silvio Savarese

4D radar measurements offer an affordable and weather-robust solution for 3D perception. However, the inherent sparsity and noise of radar point clouds present significant challenges for accurate 3D object detection, underscoring the need…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Xiaokai Bai , Jiahao Cheng , Songkai Wang , Yixuan Luo , Lianqing Zheng , Xiaohan Zhang , Si-Yuan Cao , Hui-Liang Shen

Learning 3D representations that generalize well to arbitrarily oriented inputs is a challenge of practical importance in applications varying from computer vision to physics and chemistry. We propose a novel multi-resolution convolutional…

Machine Learning · Computer Science 2021-03-22 James Fox , Bo Zhao , Sivasankaran Rajamanickam , Rampi Ramprasad , Le Song

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

Machine Learning · Computer Science 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

We present a new paradigm for rigid alignment between point clouds based on learnable weighted consensus which is robust to noise as well as the full spectrum of the rotation group. Current models, learnable or axiomatic, work well for…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Dvir Ginzburg , Dan Raviv

3D articulated objects are inherently challenging for manipulation due to the varied geometries and intricate functionalities associated with articulated objects.Point-level affordance, which predicts the per-point actionable score and thus…

Robotics · Computer Science 2024-03-08 Suhan Ling , Yian Wang , Shiguang Wu , Yuzheng Zhuang , Tianyi Xu , Yu Li , Chang Liu , Hao Dong

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

Masked autoencoding and generative pretraining have achieved remarkable success in computer vision and natural language processing, and more recently, they have been extended to the point cloud domain. Nevertheless, existing point cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Zhe Li , Xiying Wang , Jinglin Zhao , Zheng Wang , Debin Liu , Laurence T. Yang

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

Point cloud learning often rests on the premise that observed samples are noisy traces of an underlying geometric object, such as a manifold embedded in a high-dimensional feature space. Yet much of this geometry is not captured directly by…

Machine Learning · Computer Science 2026-05-18 Bruno Trentini , Jacob Hume , Vincenzo Antonio Isoldi , Philipp Misof , Ekaterina S. Ivshina , Kelly Maggs

Point clouds, as a form of Lagrangian representation, allow for powerful and flexible applications in a large number of computational disciplines. We propose a novel deep-learning method to learn stable and temporally coherent feature…

Computer Vision and Pattern Recognition · Computer Science 2020-01-30 Lukas Prantl , Nuttapong Chentanez , Stefan Jeschke , Nils Thuerey

LiDAR-based 3D sensors provide point clouds, a canonical 3D representation used in various scene understanding tasks. Modern LiDARs face key challenges in several real-world scenarios, such as long-distance or low-albedo objects, producing…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Bhavya Goyal , Felipe Gutierrez-Barragan , Wei Lin , Andreas Velten , Yin Li , Mohit Gupta

We proposed a novel graph convolutional neural network that could construct a coarse, sparse latent point cloud from a dense, raw point cloud. With a novel non-isotropic convolution operation defined on irregular geometries, the model then…

Machine Learning · Computer Science 2019-10-08 Zhang Yuhui , Greg Gutmann , Konagaya Akihiko

3D content generation remains a fundamental yet challenging task due to the inherent structural complexity of 3D data. While recent octree-based diffusion models offer a promising balance between efficiency and quality through hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Xinjie Gao , Bi'an Du , Wei Hu

This paper presents a framework to address the challenges involved in building point cloud cleaning, plane detection, and semantic segmentation, with the ultimate goal of enhancing building modeling. We focus in the cleaning stage on…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Ilyass Abouelaziz , Youssef Mourchid

Abstraction is essential for reducing the complexity of systems across diverse fields, yet designing effective abstraction methodology for probabilistic models is inherently challenging due to stochastic behaviors and uncertainties. Current…

Artificial Intelligence · Computer Science 2025-03-03 Nijesh Upreti , Vaishak Belle

3D dynamic point cloud (DPC) compression relies on mining its temporal context, which faces significant challenges due to DPC's sparsity and non-uniform structure. Existing methods are limited in capturing sufficient temporal dependencies.…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Shuting Xia , Tingyu Fan , Yiling Xu , Jenq-Neng Hwang , Zhu Li

Building models, or maps, of robot environments is a highly active research area; however, most existing techniques construct unstructured maps and assume static environments. In this paper, we present an algorithm for learning object…

Machine Learning · Computer Science 2013-01-07 Dragomir Anguelov , Rahul Biswas , Daphne Koller , Benson Limketkai , Sebastian Thrun