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Sample based ray marching is an effective method for direct volume rendering of unstructured meshes. However, sampling such meshes remains expensive, and strategies to reduce the number of samples taken have received relatively little…

Graphics · Computer Science 2019-08-07 Nathan Morrical , Will Usher , Ingo Wald , Valerio Pascucci

3D Magnetic Resonance Imaging (MRI) is often a trade-off between fast but low-resolution image acquisition and highly detailed but slow image acquisition. Fast imaging is required for targets that move to avoid motion artefacts. This is in…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Steven McDonagh , Benjamin Hou , Konstantinos Kamnitsas , Ozan Oktay , Amir Alansary , Mary Rutherford , Jo V. Hajnal , Bernhard Kainz

It is of great significance to apply deep learning for the early diagnosis of Alzheimer's Disease (AD). In this work, a novel tensorizing GAN with high-order pooling is proposed to assess Mild Cognitive Impairment (MCI) and AD. By…

Machine Learning · Computer Science 2020-08-04 Wen Yu , Baiying Lei , Michael K. Ng , Albert C. Cheung , Yanyan Shen , Shuqiang Wang

Magnetic resonance imaging (MRI) is a crucial medical imaging modality. However, long acquisition times remain a significant challenge, leading to increased costs, and reduced patient comfort. Recent studies have shown the potential of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Amirmohammad Shamaei , Alexander Stebner , Salome , Bosshart , Johanna Ospel , Gouri Ginde , Mariana Bento , Roberto Souza

The low-rank approximation is a complexity reduction technique to approximate a tensor or a matrix with a reduced rank, which has been applied to the simulation of high dimensional problems to reduce the memory required and computational…

Computational Physics · Physics 2020-08-26 Zhuogang Peng , Ryan McClarren , Martin Frank

The slow acquisition speed of magnetic resonance imaging (MRI) has led to the development of two complementary methods: acquiring multiple views of the anatomy simultaneously (parallel imaging) and acquiring fewer samples than necessary for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-16 Anuroop Sriram , Jure Zbontar , Tullie Murrell , Aaron Defazio , C. Lawrence Zitnick , Nafissa Yakubova , Florian Knoll , Patricia Johnson

Access to and availability of MRI scanners is typically limited by their cost, siting and infrastructure requirements. This precludes MRI diagnostics, the reference standard for neurological assessment, in patients who cannot be transported…

Parameter-dependent models arise in many contexts such as uncertainty quantification, sensitivity analysis, inverse problems or optimization. Parametric or uncertainty analyses usually require the evaluation of an output of a model for many…

Numerical Analysis · Mathematics 2018-10-22 Anthony Nouy

In this work, we evaluate how neural networks with periodic activation functions can be leveraged to reliably compress large multidimensional medical image datasets, with proof-of-concept application to 4D diffusion-weighted MRI (dMRI). In…

Image and Video Processing · Electrical Eng. & Systems 2022-08-04 Matteo Mancini , Derek K. Jones , Marco Palombo

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

Numerical Analysis · Mathematics 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

The goal of dynamic magnetic resonance imaging (dynamic MRI) is to visualize tissue properties and their local changes over time that are traceable in the MR signal. We propose a new variational approach for the reconstruction of subsampled…

Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations, where each intermediate…

Quantum Physics · Physics 2025-01-01 Linjian Ma , Matthew Fishman , Miles Stoudenmire , Edgar Solomonik

Low-rank decomposition has emerged as a vital tool for enhancing parameter efficiency in neural network architectures, gaining traction across diverse applications in machine learning. These techniques significantly lower the number of…

Machine Learning · Computer Science 2025-03-18 Yiping Ji , Hemanth Saratchandran , Cameron Gordon , Zeyu Zhang , Simon Lucey

Tensors of order three or higher have found applications in diverse fields, including image and signal processing, data mining, biomedical engineering and link analysis, to name a few. In many applications that involve for example time…

Data Structures and Algorithms · Computer Science 2018-09-05 Davoud Ataee Tarzanagh , George Michailidis

The tensor low-rank prior has attracted considerable attention in dynamic MR reconstruction. Tensor low-rank methods preserve the inherent high-dimensional structure of data, allowing for improved extraction and utilization of intrinsic…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Yinghao Zhang , Peng Li , Yue Hu

Reduced-rank regressions are powerful tools used to identify co-movements within economic time series. However, this task becomes challenging when we observe matrix-valued time series, where each dimension may have a different co-movement…

Econometrics · Economics 2024-07-12 Alain Hecq , Ivan Ricardo , Ines Wilms

We introduce SparseVM, a method that registers clinical-quality 3D MR scans both faster and more accurately than previously possible. Deformable alignment, or registration, of clinical scans is a fundamental task for many clinical…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Kathleen M. Lewis , Natalia S. Rost , John Guttag , Adrian V. Dalca

Cardiovascular diseases (CVDs) remain the leading cause of mortality and morbidity worldwide. Both diagnosis and prognosis of these diseases benefit from high-quality imaging, which cardiac magnetic resonance imaging provides. CMR imaging…

Image and Video Processing · Electrical Eng. & Systems 2024-11-19 Jaykumar H. Patel , Brenden T. Kadota , Calder D. Sheagren , Mark Chiew , Graham A. Wright

Very-low-field MRIs are becoming increasingly popular due to their portability and adaptability to different environments. They are being successfully used for various clinical applications, leading to a paradigm shift in the way imaging…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Umberto Zanovello , Alessandro Arduino , Vittorio Basso , Luca Zilberti , Alessandro Sola , Andrea Agosto , Luca Toso , Oriano Bottauscio

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic tool that provides excellent soft-tissue contrast without the use of ionizing radiation. Compared to other clinical imaging modalities (e.g., CT or ultrasound), however, the data…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Rizwan Ahmad , Charles A. Bouman , Gregery T. Buzzard , Stanley Chan , Sizhou Liu , Edward T. Reehorst , Philip Schniter
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