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Recovering point clouds involves the sequential process of sampling and restoration, yet existing methods struggle to effectively leverage both topological and geometric attributes. To address this, we propose an end-to-end architecture…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Kaiyue Zhou , Zelong Tan , Hongxiao Wang , Ya-Li Li , Shengjin Wang

Retrieving similar images from a large dataset based on the image content has been a very active research area and is a very challenging task. Studies have shown that retrieving similar images based on their shape is a very effective…

Computer Vision and Pattern Recognition · Computer Science 2014-06-17 Jamil Ahmad , Zahoor Jan , Zia-ud-Din , Shoaib Muhammad Khan

The learning and aggregation of multi-scale features are essential in empowering neural networks to capture the fine-grained geometric details in the point cloud upsampling task. Most existing approaches extract multi-scale features from a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Yechao Bai , Xiaogang Wang , Marcelo H. Ang , Daniela Rus

Graph embedding provides a feasible methodology to conduct pattern classification for graph-structured data by mapping each data into the vectorial space. Various pioneering works are essentially coding method that concentrates on a…

Machine Learning · Computer Science 2022-10-04 Xue Liu , Dan Sun , Xiaobo Cao , Hao Ye , Wei Wei

3D single object tracking remains a challenging problem due to the sparsity and incompleteness of the point clouds. Existing algorithms attempt to address the challenges in two strategies. The first strategy is to learn dense geometric…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Jingwen Zhang , Zikun Zhou , Guangming Lu , Jiandong Tian , Wenjie Pei

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

Data-driven methods play an increasingly important role in discovering geometric, structural, and semantic relationships between 3D shapes in collections, and applying this analysis to support intelligent modeling, editing, and…

Graphics · Computer Science 2015-02-25 Kai Xu , Vladimir G. Kim , Qixing Huang , Evangelos Kalogerakis

Insightful visualization of multidimensional scalar fields, in particular parameter spaces, is key to many fields in computational science and engineering. We propose a principal component-based approach to visualize such fields that…

Graphics · Computer Science 2018-09-12 Rafael Ballester-Ripoll , Renato Pajarola

Topological data analysis provides a collection of tools to encapsulate and summarize the shape of data. Currently it is mainly restricted to \emph{mapper algorithm} and \emph{persistent homology}. In this paper we introduce new…

Algebraic Topology · Mathematics 2019-01-23 Paweł Dłotko

Storing and transmitting LiDAR point cloud data is essential for many AV applications, such as training data collection, remote control, cloud services or SLAM. However, due to the sparsity and unordered structure of the data, it is…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Till Beemelmanns , Yuchen Tao , Bastian Lampe , Lennart Reiher , Raphael van Kempen , Timo Woopen , Lutz Eckstein

As the rate of data collection continues to grow rapidly, developing visualization tools that scale to immense data sets is a serious and ever-increasing challenge. Existing approaches generally seek to decouple storage and visualization…

Databases · Computer Science 2021-06-24 Sam Kumar , Michael P Andersen , David E. Culler

The recent advances in 3D sensing technology have made possible the capture of point clouds in significantly high resolution. However, increased detail usually comes at the expense of high storage, as well as computational costs in terms of…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Rolandos Alexandros Potamias , Giorgos Bouritsas , Stefanos Zafeiriou

Hypergraphs provide a natural way to represent polyadic relationships in network data. For large hypergraphs, it is often difficult to visually detect structures within the data. Recently, a scalable polygon-based visualization approach was…

Graphics · Computer Science 2024-07-30 Peter Oliver , Eugene Zhang , Yue Zhang

Dimensionality Reduction (DR) techniques such as t-SNE and UMAP are popular for transforming complex datasets into simpler visual representations. However, while effective in uncovering general dataset patterns, these methods may introduce…

Human-Computer Interaction · Computer Science 2024-04-19 Parisa Salmanian , Angelos Chatzimparmpas , Ali Can Karaca , Rafael M. Martins

Point cloud-based object/place recognition remains a problem of interest in applications such as autonomous driving, scene reconstruction, and localization. Extracting a meaningful global descriptor from a query point cloud that can be…

Robotics · Computer Science 2025-08-04 Anirban Ghosh , Iliya Kulbaka , Ian Dahlin , Ayan Dutta

In an era where big and high-dimensional data is readily available, data scientists are inevitably faced with the challenge of reducing this data for expensive downstream computation or analysis. To this end, we present here a new method…

Methodology · Statistics 2018-06-05 Simon Mak , V. Roshan Joseph

The efficiency of extracting topological information from point data depends largely on the complex that is built on top of the data points. From a computational viewpoint, the most favored complexes for this purpose have so far been…

Computational Geometry · Computer Science 2013-04-03 Tamal K. Dey , Fengtao Fan , Yusu Wang

Numerous prior studies predominantly emphasize constructing relation vectors for individual neighborhood points and generating dynamic kernels for each vector and embedding these into high-dimensional spaces to capture implicit local…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Shuofeng Sun , Yongming Rao , Jiwen Lu , Haibin Yan

Interactive exploration of large, multidimensional datasets plays a very important role in various scientific fields. It makes it possible not only to identify important structural features and forms, such as clusters of vertices and their…

Machine Learning · Computer Science 2023-03-10 Bartosz Minch

Explicit high-order feature interactions efficiently capture essential structural knowledge about the data of interest and have been used for constructing generative models. We present a supervised discriminative High-Order Parametric…

Artificial Intelligence · Computer Science 2016-08-17 Martin Renqiang Min , Hongyu Guo , Dongjin Song