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Creating 3D maps on robots and other mobile devices has become a reality in recent years. Online 3D reconstruction enables many exciting applications in robotics and AR/VR gaming. However, the reconstructions are noisy and generally…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Maksym Dzitsiuk , Jürgen Sturm , Robert Maier , Lingni Ma , Daniel Cremers

Magnetic Resonance Imaging (MRI) is highly susceptible to motion artifacts due to the extended acquisition times required for k-space sampling. These artifacts can compromise diagnostic utility, particularly for dynamic imaging. We propose…

Image and Video Processing · Electrical Eng. & Systems 2025-07-04 Frederic Wang , Jonathan I. Tamir

We focus in this work on the estimation of the first $k$ eigenvectors of any graph Laplacian using filtering of Gaussian random signals. We prove that we only need $k$ such signals to be able to exactly recover as many of the smallest…

Data Structures and Algorithms · Computer Science 2016-11-07 Johan Paratte , Lionel Martin

We present a framework for accelerated iterative reconstructions using a fast and approximate forward model that is based on k-space methods for photoacoustic tomography. The approximate model introduces aliasing artefacts in the gradient…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Andreas Hauptmann , Ben Cox , Felix Lucka , Nam Huynh , Marta Betcke , Paul Beard , Simon Arridge

Neural implicit k-space representations have shown promising results for dynamic MRI at high temporal resolutions. Yet, their exclusive training in k-space limits the application of common image regularization methods to improve the final…

We propose to use Gaussian process regression to accurately estimate the diffusion MRI signal at arbitrary locations in q-space. By estimating the signal on a grid, we can do synthetic diffusion spectrum imaging: reconstructing the ensemble…

Applications · Statistics 2020-01-03 Jens Sjölund , Anders Eklund , Evren Özarslan , Hans Knutsson

The prevailing deep learning-based methods of predicting cardiac segmentation involve reconstructed magnetic resonance (MR) images. The heavy dependency of segmentation approaches on image quality significantly limits the acceleration rate…

Image and Video Processing · Electrical Eng. & Systems 2025-07-03 Yundi Zhang , Nil Stolt-Ansó , Jiazhen Pan , Wenqi Huang , Kerstin Hammernik , Daniel Rueckert

While enabling accelerated acquisition and improved reconstruction accuracy, current deep MRI reconstruction networks are typically supervised, require fully sampled data, and are limited to Cartesian sampling patterns. These factors limit…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Bo Zhou , Jo Schlemper , Neel Dey , Seyed Sadegh Mohseni Salehi , Kevin Sheth , Chi Liu , James S. Duncan , Michal Sofka

Recently, 3D Gaussian Splatting (3DGS) has emerged as an efficient approach for accurately representing scenes. However, despite its superior novel view synthesis capabilities, extracting the geometry of the scene directly from the Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Yaniv Wolf , Amit Bracha , Ron Kimmel

We present a fast 3DGS reconstruction pipeline designed to converge within one minute, developed for the SIGGRAPH Asia 3DGS Fast Reconstruction Challenge. The challenge consists of an initial round using SLAM-generated camera poses (with…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Ziyu Zhang , Tianle Liu , Diantao Tu , Shuhan Shen

Variational Bayesian neural networks combine the flexibility of deep learning with Bayesian uncertainty estimation. However, inference procedures for flexible variational posteriors are computationally expensive. A recently proposed method,…

Machine Learning · Computer Science 2018-12-03 Juhan Bae , Guodong Zhang , Roger Grosse

Magnetic resonance imaging (MRI) is highly susceptible to patient motion due to its relatively long acquisition times and the fact that data are acquired sequentially in k-space. Even small patient movements introduce phase inconsistencies…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Antonio Ortiz-Gonzalez , Erich Kobler , Lukas Schletter , Alexander Effland

Purpose: To assess whether breast lesion segmentation can be learned directly from acquired MRI k-space, and whether doing so improves robustness when data are accelerated or noisy. Materials and Methods: This retrospective study used…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Lukas T. Rotkopf , Marco Schlimbach , Julius C. Holzschuh , Heinz-Peter Schlemmer , Jens Kleesiek , Moritz Rempe

We consider the problem of estimating a rank-one matrix in Gaussian noise under a probabilistic model for the left and right factors of the matrix. The probabilistic model can impose constraints on the factors including sparsity and…

Information Theory · Computer Science 2015-09-16 Alyson K. Fletcher , Sundeep Rangan

We present GLIMPSE - Gravitational Lensing Inversion and MaPping with Sparse Estimators - a new algorithm to generate density reconstructions in three dimensions from photometric weak lensing measurements. This is an extension of earlier…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Adrienne Leonard , François Lanusse , Jean-Luc Starck

Purpose: This study aims to propose a model-based reconstruction algorithm for simultaneous multi-slab diffusion MRI acquired with blipped-CAIPI gradients (blipped-SMSlab), which can also incorporate distortion correction. Methods: We…

Medical Physics · Physics 2023-04-03 Jieying Zhang , Simin Liu , Erpeng Dai , Xin Shao , Ziyu Li , Karla L. Miller , Wenchuan Wu , Hua Guo

We propose a radical advance in Magnetic Resonance Imaging. MRI remains slow because it requires successive applications of magnetic field gradients to encode for spatial location. Parallel MRI accelerates imaging by permitting…

Medical Physics · Physics 2018-09-19 Michael Hutchinson , Ulrich Raff , Luis Osorio

3D reconstruction techniques such as LiDAR scanning and photogrammetry have made it practical to build detailed geometric models of real-world environments. Such reconstructed models can potentially serve as the foundation for wireless…

Networking and Internet Architecture · Computer Science 2026-05-27 Haofan Lu , Yadi Cao , Wanghao Yi , Omid Abari

To obtain the initial pressure from the collected data on a planar sensor arrangement in Photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

Numerical Analysis · Mathematics 2015-01-14 Julian Schmid , Thomas Glatz , Behrooz Zabihian , Mengyang Liu , Wolfgang Drexler , Otmar Scherzer

Purpose: A fast data-driven optimization approach, named bias-accelerated subset selection (BASS), is proposed for learning efficacious sampling patterns (SPs) with the purpose of reducing scan time in large-dimensional parallel MRI.…

Signal Processing · Electrical Eng. & Systems 2020-11-05 Marcelo V. W. Zibetti , Gabor T. Herman , Ravinder R. Regatte
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