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This paper presents novel single and multi-shell sampling schemes for diffusion MRI. In diffusion MRI, it is paramount that the number of samples is as small as possible in order that scan times are practical in a clinical setting. The…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Alice P. Bates , Zubair Khalid , Jason D. McEwen , Rodney A. Kennedy , Alessandro Daducci , Erick J. Canales-Rodríguez

Traditional sampling theories consider the problem of reconstructing an unknown signal $x$ from a series of samples. A prevalent assumption which often guarantees recovery from the given measurements is that $x$ lies in a known subspace.…

Cellular Automata and Lattice Gases · Physics 2009-03-30 Yonina C. Eldar , Moshe Mishali

Masked Modeling (MM) has demonstrated widespread success in various vision challenges, by reconstructing masked visual patches. Yet, applying MM for large-scale 3D scenes remains an open problem due to the data sparsity and scene…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Mingye Xu , Mutian Xu , Tong He , Wanli Ouyang , Yali Wang , Xiaoguang Han , Yu Qiao

The advancement of sensing technology has driven the widespread application of high-dimensional data. However, issues such as missing entries during acquisition and transmission negatively impact the accuracy of subsequent tasks. Tensor…

Image and Video Processing · Electrical Eng. & Systems 2025-04-09 Jie Yang , Chang Su , Yuhan Zhang , Jianjun Zhu , Jianli Wang

3D reconstruction of medical images is a key technology in medical image analysis and clinical diagnosis, providing structural visualization support for disease assessment and surgical planning. Traditional methods are computationally…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Bin Liu , Wenyan Tian , Huangxin Fu , Zizheng Li , Zhifen He , Bo Li

The creation of high-fidelity 3D assets is often hindered by a 'pixel-level pain point': the loss of high-frequency details. Existing methods often trade off one aspect for another: either sacrificing cross-view consistency, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Lu Xiao , Jiale Zhang , Yang Liu , Taicheng Huang , Xin Tian

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing.…

Numerical Analysis · Mathematics 2014-02-07 Bubacarr Bah , Luca Baldassarre , Volkan Cevher

In this work we present a novel method for reconstructing 3D surfaces using a multi-beam imaging sonar. We integrate the intensities measured by the sonar from different viewpoints for fixed cell positions in a 3D grid. For each cell we…

Robotics · Computer Science 2022-06-08 Sascha Arnold , Bilal Wehbe

Piece-wise planar 3D reconstruction simultaneously segments plane instances and recovers their 3D plane parameters from an image, which is particularly useful for indoor or man-made environments. Efficient reconstruction of 3D planes…

Computer Vision and Pattern Recognition · Computer Science 2023-12-22 Luan Wei , Anna Hilsmann , Peter Eisert

Many consequential real-world systems, like wind fields and ocean currents, are dynamic and hard to model. Learning their governing dynamics remains a central challenge in scientific machine learning. Dynamic Mode Decomposition (DMD)…

Machine Learning · Computer Science 2025-11-26 Yujin Kim , Sarah Dean

Autoencoders can be challenged by spatially non-uniform sampling of image content. This is common in medical imaging, biology, and physics, where informative patterns occur rarely at specific image coordinates, as background dominates these…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Alejandro Castañeda Garcia , Jan van Gemert , Daan Brinks , Nergis Tömen

We demonstrate a novel approach to the reconstruction of scanning probe x-ray diffraction tomography data with anisotropic poly crystalline samples. The method involves reconstructing a voxel map containing an orientation distribution…

A densely-sampled light field (LF) is highly desirable in various applications, such as 3-D reconstruction, post-capture refocusing and virtual reality. However, it is costly to acquire such data. Although many computational methods have…

Image and Video Processing · Electrical Eng. & Systems 2020-09-29 Jing Jin , Junhui Hou , Jie Chen , Huanqiang Zeng , Sam Kwong , Jingyi Yu

3D reconstruction from a single RGB image is a challenging problem in computer vision. Previous methods are usually solely data-driven, which lead to inaccurate 3D shape recovery and limited generalization capability. In this work, we focus…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Yichao Zhou , Shichen Liu , Yi Ma

Reconstructing complex structures from planar cross-sections is a challenging problem, with wide-reaching applications in medical imaging, manufacturing, and topography. Out-of-the-box point cloud reconstruction methods can often fail due…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Thomas Walker , Salvatore Esposito , Daniel Rebain , Amir Vaxman , Arno Onken , Changjian Li , Oisin Mac Aodha

We explore the potential of our novel triaxial modeling machinery in recovering the viewing angles, the shape and the orbit distribution of galaxies by using a high-resolution $N$-body merger simulation. Our modelling technique includes…

Astrophysics of Galaxies · Physics 2022-11-22 Stefano de Nicola , Bianca Neureiter , Jens Thomas , Roberto P. Saglia , Ralf Bender

Compressive sensing has shown significant promise in biomedical fields. It reconstructs a signal from sub-Nyquist random linear measurements. Classical methods only exploit the sparsity in one domain. A lot of biomedical signals have…

Information Theory · Computer Science 2016-11-26 Yipeng Liu , Maarten De Vos , Ivan Gligorijevic , Vladimir Matic , Yuqian Li , Sabine Van Huffel

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Current 3D photoacoustic tomography (PAT) systems offer either high image quality or high frame rates but are not able to deliver high spatial and temporal resolution simultaneously, which limits their ability to image dynamic processes in…

Numerical Analysis · Mathematics 2016-12-21 Simon Arridge , Paul Beard , Marta Betcke , Ben Cox , Nam Huynh , Felix Lucka , Olumide Ogunlade , Edward Zhang

In this work, we investigate the sampling and reconstruction of spectrally $s$-sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time sampling regime, referred to as {randomized} dynamical…

Numerical Analysis · Mathematics 2024-10-24 Longxiu Huang , Dongyang Li , Sui Tang , Qing Yao
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