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The construction of highly incoherent frames, sequences of vectors placed on the unit hyper sphere of a finite dimensional Hilbert space with low correlation between them, has proven very difficult. Algorithms proposed in the past have…

Information Theory · Computer Science 2016-11-28 Cristian Rusu , Nuria González-Prelcic

Inspired by the classical fractional cascading technique, we introduce new techniques to speed up the following type of iterated search in 3D: The input is a graph $\mathbf{G}$ with bounded degree together with a set $H_v$ of 3D hyperplanes…

Computational Geometry · Computer Science 2025-04-11 Peyman Afshani , Yakov Nekrich , Frank Staals

Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

We introduce a novel approach for depth estimation using images obtained from monocular structured light systems. In contrast to many existing methods that depend on image matching, our technique employs a density voxel grid to represent…

Computer Vision and Pattern Recognition · Computer Science 2025-06-26 Zhuohang Yu , Kai Wang , Kun Huang , Juyong Zhang

Memory and network bandwidth are decisive bottlenecks when handling high-resolution multidimensional data sets in visualization applications, and they increasingly demand suitable data compression strategies. We introduce a novel lossy…

Graphics · Computer Science 2019-03-12 Rafael Ballester-Ripoll , Peter Lindstrom , Renato Pajarola

We investigate the task of retrieving information from compositional distributed representations formed by Hyperdimensional Computing/Vector Symbolic Architectures and present novel techniques which achieve new information rate bounds.…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Denis Kleyko , Connor Bybee , Ping-Chen Huang , Christopher J. Kymn , Bruno A. Olshausen , E. Paxon Frady , Friedrich T. Sommer

Optimal surface segmentation is a state-of-the-art method used for segmentation of multiple globally optimal surfaces in volumetric datasets. The method is widely used in numerous medical image segmentation applications. However, nodes in…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Abhay Shah , Michael D. Abramoff , Xiaodong Wu

We present XCube (abbreviated as $\mathcal{X}^3$), a novel generative model for high-resolution sparse 3D voxel grids with arbitrary attributes. Our model can generate millions of voxels with a finest effective resolution of up to $1024^3$…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Xuanchi Ren , Jiahui Huang , Xiaohui Zeng , Ken Museth , Sanja Fidler , Francis Williams

Interactive volume visualization using a mixed reality (MR) system helps provide users with an intuitive spatial perception of volumetric data. Due to sophisticated requirements of user interaction and vision when using MR head-mounted…

Graphics · Computer Science 2023-09-06 Haojie Cheng , Chunxiao Xu , Xujing Chen , Zhenxin Chen , Jiajun Wang , Lingxiao Zhao

Ultrafast imaging modes, such as coherent plane-wave compounding (CPWC), capture a large field of view in a single pulse-echo measurement using parallel receive focusing. The number of foci or, equivalently, the number of volume elements…

Medical Physics · Physics 2022-12-22 Martin F. Schiffner

As research on neural volumetric video reconstruction and compression flourishes, there is a need for diverse and realistic datasets, which can be used to develop and validate reconstruction and compression models. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Adrian Azzarelli , Ge Gao , Ho Man Kwan , Fan Zhang , Nantheera Anantrasirichai , Ollie Moolan-Feroze , David Bull

Neural radiance fields achieve unprecedented quality for novel view synthesis, but their volumetric formulation remains expensive, requiring a huge number of samples to render high-resolution images. Volumetric encodings are essential to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Zian Wang , Tianchang Shen , Merlin Nimier-David , Nicholas Sharp , Jun Gao , Alexander Keller , Sanja Fidler , Thomas Müller , Zan Gojcic

The task of voxel resolution for a space curve in video memory of 3D display is set. Furthermore, an approach solution of voxel resolution of arbitrary space curve, given in parametric form, is studied. Numerous numbers of intensive…

Graphics · Computer Science 2018-03-02 Anas M. Al-Oraiqat , E. A. Bashkov , S. A. Zori

Volumetric videoconferencing enables immersive six Degrees of Freedom interactions by jointly transmitting visual appearance and 3D geometry. However, delivering volumetric video over today's networks remains challenging due to high…

Networking and Internet Architecture · Computer Science 2026-05-01 Ankur Aditya , Diptyaroop Maji , Lingdong Wang , Bhavya Ramakrishna , Ramesh Sitaraman , Prashant Shenoy

We present a neural rendering framework that maps a voxelized scene into a high quality image. Highly-textured objects and scene element interactions are realistically rendered by our method, despite having a rough representation as an…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Konstantinos Rematas , Vittorio Ferrari

Camera and LiDAR sensor modalities provide complementary appearance and geometric information useful for detecting 3D objects for autonomous vehicle applications. However, current end-to-end fusion methods are challenging to train and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-28 Anas Mahmoud , Jordan S. K. Hu , Steven L. Waslander

Volume-based reconstruction is usually expensive both in terms of memory consumption and runtime. Especially for sparse geometric structures, volumetric representations produce a huge computational overhead. We present an efficient way to…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Wadim Kehl , Tobias Holl , Federico Tombari , Slobodan Ilic , Nassir Navab

This paper proposes an efficient and probabilistic adaptive voxel mapping method for LiDAR odometry. The map is a collection of voxels; each contains one plane (or edge) feature that enables the probabilistic representation of the…

Robotics · Computer Science 2022-07-11 Chongjian Yuan , Wei xu , Xiyuan Liu , Xiaoping Hong , Fu Zhang

Event-based cameras offer unique advantages such as high temporal resolution, high dynamic range, and low power consumption. However, the massive storage requirements and I/O burdens of existing synthetic data generation pipelines and the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Hanyue Lou , Jinxiu Liang , Minggui Teng , Yi Wang , Boxin Shi

We present a novel way to encode compositional information in high-dimensional (HD) vectors. Inspired by chromosomal crossover, random HD vectors are recursively interwoven, with a fraction of one vector's components masked out and replaced…

Neurons and Cognition · Quantitative Biology 2019-11-18 Rich Pang
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