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In the field of data-driven 3D shape analysis and generation, the estimation of global topological features from localized representations such as point clouds, voxels, and neural implicit fields is a longstanding challenge. This paper…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Yihao Luo

We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas

Point clouds are widely used representations of 3D data, but determining the visibility of points from a given viewpoint remains a challenging problem due to their sparse nature and lack of explicit connectivity. Traditional methods, such…

Graphics · Computer Science 2025-09-30 Jun-Hao Wang , Yi-Yang Tian , Baoquan Chen , Peng-Shuai Wang

Data visualizations can reveal trends and patterns that are not otherwise obvious from the raw data or summary statistics. While visualizing low-dimensional data is relatively straightforward (for example, plotting the change in a variable…

Other Statistics · Statistics 2017-01-31 Andrew C. Heusser , Kirsten Ziman , Lucy L. W. Owen , Jeremy R. Manning

We study 3D point cloud attribute compression using a volumetric approach: given a target volumetric attribute function $f : \mathbb{R}^3 \rightarrow \mathbb{R}$, we quantize and encode parameter vector $\theta$ that characterizes $f$ at…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Tam Thuc Do , Philip A. Chou , Gene Cheung

We present Submatrix-wise Vector Embedding Learner (Swivel), a method for generating low-dimensional feature embeddings from a feature co-occurrence matrix. Swivel performs approximate factorization of the point-wise mutual information…

Computation and Language · Computer Science 2016-02-09 Noam Shazeer , Ryan Doherty , Colin Evans , Chris Waterson

Data visualisation helps understanding data represented by multiple variables, also called features, stored in a large matrix where individuals are stored in lines and variable values in columns. These data structures are frequently called…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

High-definition 3D city maps enable city planning and change detection, which is essential for municipal compliance, map maintenance, and asset monitoring, including both built structures and urban greenery. Conventional Digital Surface…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Hezam Albagami , Haitian Wang , Xinyu Wang , Muhammad Ibrahim , Zainy M. Malakan , Abdullah M. Alqamdi , Mohammed H. Alghamdi , Ajmal Mian

We propose a novel deep learning-based framework to tackle the challenge of semantic segmentation of large-scale point clouds of millions of points. We argue that the organization of 3D point clouds can be efficiently captured by a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Loic Landrieu , Martin Simonovsky

Point clouds have become an increasingly important representation for 3D medical imaging, offering a compact, surface-preserving alternative to traditional voxel or mesh-based approaches. Recent advances in deep learning have enabled rapid…

Image and Video Processing · Electrical Eng. & Systems 2026-02-04 Tongxu Zhang , Zhiming Liang , Bei Wang

We propose a novel end-to-end pipeline for online long-range vectorized high-definition (HD) map construction using on-board camera sensors. The vectorized representation of HD maps, employing polylines and polygons to represent map…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Jingyi Yu , Zizhao Zhang , Shengfu Xia , Jizhang Sang

In recent years new application areas have emerged in which one aims to capture the geometry of objects by means of three-dimensional point clouds. Often the obtained data consist of a dense sampling of the object's surface, containing many…

Numerical Analysis · Mathematics 2019-10-01 Daniel Tenbrinck , Fjedor Gaede , Martin Burger

Rapid visualization of large-scale spatial vector data is a long-standing challenge in Geographic Information Science. In existing methods, the computation overheads grow rapidly with data volumes, leading to the incapability of providing…

Graphics · Computer Science 2021-01-26 Mengyu Ma , Ye Wu , Xue Ouyang , Luo Chen , Jun Li , Ning Jing

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

Although data diffusion embeddings are ubiquitous in unsupervised learning and have proven to be a viable technique for uncovering the underlying intrinsic geometry of data, diffusion embeddings are inherently limited due to their discrete…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Oluwadamilola Fasina , Guillaume Huguet , Alexander Tong , Yanlei Zhang , Guy Wolf , Maximilian Nickel , Ian Adelstein , Smita Krishnaswamy

Parametric Embedding (PE) has recently been proposed as a general-purpose algorithm for class visualisation. It takes class posteriors produced by a mixture-based clustering algorithm and projects them in 2D for visualisation. However,…

Astrophysics · Physics 2009-11-11 Ata Kaban , Jianyong Sun , Somak Raychaudhury , Louisa Nolan

We provide a rigorous mathematical treatment to the crowding issue in data visualization when high dimensional data sets are projected down to low dimensions for visualization. By properly adjusting the capacity of high dimensional balls,…

Machine Learning · Computer Science 2021-06-02 Rongrong Wang , Xiaopeng Zhang

Recent advancements in deep learning for tabular data have shown promise, but challenges remain in achieving interpretable and lightweight models. This paper introduces Table2Image, a novel framework that transforms tabular data into…

Machine Learning · Computer Science 2025-01-24 Seungeun Lee , Il-Youp Kwak , Kihwan Lee , Subin Bae , Sangjun Lee , Seulbin Lee , Seungsang Oh

In this short paper, a neural network that is able to form a low dimensional topological hidden representation is explained. The neural network can be trained as an autoencoder, a classifier or mix of both, and produces different low…

Machine Learning · Computer Science 2020-06-16 Pitoyo Hartono

Processing 3D data efficiently has always been a challenge. Spatial operations on large-scale point clouds, stored as sparse data, require extra cost. Attracted by the success of transformers, researchers are using multi-head attention for…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Mahdi Saleh , Yige Wang , Nassir Navab , Benjamin Busam , Federico Tombari