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Quantitative susceptibility mapping (QSM) involves acquisition and reconstruction of a series of images at multi-echo time points to estimate tissue field, which prolongs scan time and requires specific reconstruction technique. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Jinwei Zhang , Pascal Spincemaille , Hang Zhang , Thanh D. Nguyen , Chao Li , Jiahao Li , Ilhami Kovanlikaya , Mert R. Sabuncu , Yi Wang

Blind inverse problems arise in many experimental settings where both the signal of interest and the forward operator are (partially) unknown. In this context, methods developed for the non-blind case cannot be adapted in a straightforward…

Machine Learning · Computer Science 2026-04-21 Nathan Buskulic , Luca Calatroni , Lorenzo Rosasco , Silvia Villa

Recovering a high dynamic range (HDR) image from a single low dynamic range (LDR) image, namely inverse tone mapping (ITM), is challenging due to the lack of information in over- and under-exposed regions. Current methods focus exclusively…

Image and Video Processing · Electrical Eng. & Systems 2022-04-12 Juan Borrego-Carazo , Mete Ozay , Frederik Laboyrie , Paul Wisbey

Functional magnetic resonance imaging (fMRI) analysis faces significant challenges due to limited dataset sizes and domain variability between studies. Traditional self-supervised learning methods inspired by computer vision often rely on…

Image and Video Processing · Electrical Eng. & Systems 2025-10-08 Jakub Frac , Alexander Schmatz , Qiang Li , Guido Van Wingen , Shujian Yu

This paper is concerned with the inverse acoustic scattering problem with phaseless total-field data at a fixed frequency. An approximate factorization method is developed to numerically reconstruct both the location and shape of the…

Numerical Analysis · Mathematics 2020-10-15 Bo Zhang , Haiwen Zhang

Population imaging studies rely upon good quality medical imagery before downstream image quantification. This study provides an automated approach to assess image quality from cardiovascular magnetic resonance (CMR) imaging at scale. We…

Image and Video Processing · Electrical Eng. & Systems 2025-10-28 Shahabedin Nabavi , Hossein Simchi , Mohsen Ebrahimi Moghaddam , Alejandro F. Frangi , Ahmad Ali Abin

Inverse problems defined naturally on the sphere are becoming increasingly of interest. In this article we provide a general framework for evaluation of inverse problems on the sphere, with a strong emphasis on flexibility and scalability.…

Information Theory · Computer Science 2021-05-17 Matthew A. Price , Luke Pratley , Jason D. McEwen

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

Information Theory · Computer Science 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

We propose a flexible yet interpretable model for high-dimensional data with time-varying second order statistics, motivated and applied to functional neuroimaging data. Motivated by the neuroscience literature, we factorize the covariances…

Machine Learning · Statistics 2021-07-20 Katherine Tsai , Mladen Kolar , Oluwasanmi Koyejo

Applications such as Magnetic Resonance Tomography acquire imaging data by point samples of their Fourier transform. This raises the question of balancing the efficiency of the sampling strategies with the approximation accuracy of an…

Numerical Analysis · Mathematics 2015-10-20 Gitta Kutyniok , Wang-Q Lim

Random unitaries are an important resource for quantum information processing. While their universal properties have been thoroughly analyzed, it is not known what happens to these properties when the unitaries are sampled on the…

Quantum Physics · Physics 2025-07-16 Kristian Wold , Pedro Ribeiro , Sergey Denisov

Deep learning-based methods deliver state-of-the-art performance for solving inverse problems that arise in computational imaging. These methods can be broadly divided into two groups: (1) learn a network to map measurements to the signal…

Image and Video Processing · Electrical Eng. & Systems 2023-10-11 Nebiyou Yismaw , Ulugbek S. Kamilov , M. Salman Asif

Quantum sensing is an emerging field with the potential to outperform classical methods in both precision and spatial resolution. However, the sensitivity of the underlying quantum platform also makes the sensors highly susceptible to their…

Quantum Physics · Physics 2025-12-15 Miriam Resch , Dennis Herb , Mirko Rossini , Joachim Ankerhold , Dominik Maile

Quantitative magnetic resonance imaging (qMRI) requires multi-phase acqui-sition, often relying on reduced data sampling and reconstruction algorithms to accelerate scans, which inherently poses an ill-posed inverse problem. While many…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 Haozhong Sun , Zhongsen Li , Chenlin Du , Haokun Li , Yajie Wang , Huijun Chen

The primordial power spectrum describes the initial perturbations that seeded the large-scale structure we observe today. It provides an indirect probe of inflation or other structure-formation mechanisms. In this letter, we recover the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-05 F. Lanusse , P. Paykari , J. -L. Starck , F. Sureau , J. Bobin , A. Rassat

Quantitative MRI (qMRI) offers significant advantages over weighted images by providing objective parameters related to tissue properties. Deep learning-based methods have demonstrated effectiveness in estimating quantitative maps from…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Shishuai Wang , Hua Ma , Juan A. Hernandez-Tamames , Stefan Klein , Dirk H. J. Poot

We propose a quantum-Hamiltonian-learning-based sequential reconstruction framework for dynamic two-dimensional magnetic-field maps using a local likelihood model derived from a nitrogen-vacancy-center spin-1 Hamiltonian. Local measurements…

Quantum Physics · Physics 2026-05-26 Hiroshi Yamauchi , Sophie Colleen Stearn , Samuel Tovey

Background: Rim+ lesions in multiple sclerosis (MS), detectable via Quantitative Susceptibility Mapping (QSM), correlate with increased disability. Existing literature lacks quantitative analysis of these lesions. We introduce RimSet for…

Image and Video Processing · Electrical Eng. & Systems 2025-10-08 Jinwei Zhang , Thanh D. Nguyen , Renjiu Hu , Susan A. Gauthier , Yi Wang , Hang Zhang

Coupled structured matrix factorization (CoSMF) for hyperspectral super-resolution (HSR) has recently drawn significant interest in hyperspectral imaging for remote sensing. Presently there is very few work that studies the theoretical…

Signal Processing · Electrical Eng. & Systems 2019-07-31 Huikang Liu , Ruiyuan Wu , Wing-Kin Ma

The Cosmic Microwave Background (CMB) data analysis and the map-making process rely heavily on the use of spherical harmonics. For suitable pixelizations of the sphere, the (forward and inverse) Fourier transform plays a crucial role in…

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