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Rigid structures such as cars or any other solid objects are often represented by finite clouds of unlabeled points. The most natural equivalence on these point clouds is rigid motion or isometry maintaining all inter-point distances. Rigid…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Daniel Widdowson , Vitaliy Kurlin

In this paper, a similarity-driven cluster merging method is proposed for unsuper-vised fuzzy clustering. The cluster merging method is used to resolve the problem of cluster validation. Starting with an overspecified number of clusters in…

Machine Learning · Computer Science 2012-07-19 Xuejian Xiong , Kap Chan , Kian Lee Tan

We propose a self-supervised method for partial point set registration. While recent proposed learning-based methods have achieved impressive registration performance on the full shape observations, these methods mostly suffer from…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Xiang Li , Lingjing Wang , Yi Fang

Correlative microscopy aims at combining two or more modalities to gain more information than the one provided by one modality on the same biological structure. Registration is needed at different steps of correlative microscopies…

Computer Vision and Pattern Recognition · Computer Science 2020-12-02 Stephan Kunne , Guillaume Potier , Jean Mérot , Perrine Paul-Gilloteaux

Unsupervised representation learning techniques, such as learning word embeddings, have had a significant impact on the field of natural language processing. Similar representation learning techniques have not yet become commonplace in the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Joël Bachmann , Kenneth Blomqvist , Julian Förster , Roland Siegwart

We propose a new method for Unsupervised clustering in particle physics named UCluster, where information in the embedding space created by a neural network is used to categorise collision events into different clusters that share similar…

Data Analysis, Statistics and Probability · Physics 2021-06-01 Vinicius Mikuni , Florencia Canelli

In this note, we propose an approach to initialize the Iterative Closest Point (ICP) algorithm to match unlabelled point clouds related by rigid transformations. The method is based on matching the ellipsoids defined by the points'…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Alexander Kolpakov , Michael Werman

We present an algorithm for the fast computation of the general $N$-point spatial correlation functions of any discrete point set embedded within an Euclidean space of $\mathbb{R}^n$. Utilizing the concepts of kd-trees and graph databases,…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-19 Cristiano G. Sabiu , Ben Hoyle , Juhan Kim , Xiao-Dong Li

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Tong Zhang , Pan Ji , Mehrtash Harandi , Wenbing Huang , Hongdong Li

Point clouds acquired by 3D scanning devices are often sparse, noisy, and non-uniform, causing a loss of geometric features. To facilitate the usability of point clouds in downstream applications, given such input, we present a…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Guangshun Wei , Hao Pan , Shaojie Zhuang , Yuanfeng Zhou , Changjian Li

Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of complex networks. Mapping the description of data…

Data Analysis, Statistics and Probability · Physics 2012-08-22 Clara Granell , Sergio Gomez , Alex Arenas

Unsupervised classification called clustering is a process of organizing objects into groups whose members are similar in some way. Clustering of uncertain data objects is a challenge in spatial data bases. In this paper we use Probability…

Databases · Computer Science 2013-12-10 Ramachandra Rao Kurada

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Learning-based point cloud registration methods can handle clean point clouds well, while it is still challenging to generalize to noisy, partial, and density-varying point clouds. To this end, we propose a novel point cloud registration…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Leida Zhang , Zhengda Lu , Kai Liu , Yiqun Wang

We herein introduce a new method of interpretable clustering that uses unsupervised binary trees. It is a three-stage procedure, the first stage of which entails a series of recursive binary splits to reduce the heterogeneity of the data…

Methodology · Statistics 2011-10-28 Ricardo Fraiman , Badih Ghattas , Marcela Svarc

The performance of surface registration relies heavily on the metric used for the alignment error between the source and target shapes. Traditionally, such a metric is based on the point-to-point or point-to-plane distance from the points…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Zhi Deng , Yuxin Yao , Bailin Deng , Juyong Zhang

Neural networks for point clouds, which respect their natural invariance to permutation and rigid motion, have enjoyed recent success in modeling geometric phenomena, from molecular dynamics to recommender systems. Yet, to date, no model…

Machine Learning · Computer Science 2024-04-10 Snir Hordan , Tal Amir , Steven J. Gortler , Nadav Dym

Point cloud registration is a fundamental problem in many domains. Practically, the overlap between point clouds to be registered may be relatively small. Most unsupervised methods lack effective initial evaluation of overlap, leading to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Pengcheng Shi , Jie Zhang , Haozhe Cheng , Junyang Wang , Yiyang Zhou , Chenlin Zhao , Jihua Zhu

In real-world scenarios, scanned point clouds are often incomplete due to occlusion issues. The tasks of self-supervised and weakly-supervised point cloud completion involve reconstructing missing regions of these incomplete objects without…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Lintai Wu , Xianjing Cheng , Yong Xu , Huanqiang Zeng , Junhui Hou

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
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