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Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need to numerically resolve a high dimensional probability density function. Past literature has focused on building…

Numerical Analysis · Mathematics 2022-11-10 Zhichao Peng , Yanlai Chen , Yingda Cheng , Fengyan Li

Accurate quantification of metabolites in magnetic resonance spectroscopy (MRS) is challenged by low signal-to-noise ratio (SNR), overlapping metabolites, and various artifacts. Particularly, unknown and unparameterized baseline effects…

Signal Processing · Electrical Eng. & Systems 2024-10-15 Julian P. Merkofer , Dennis M. J. van de Sande , Sina Amirrajab , Kyung Min Nam , Ruud J. G. van Sloun , Alex A. Bhogal

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

Numerical Analysis · Mathematics 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

Background: Dual-energy CT (DECT) and material decomposition play vital roles in quantitative medical imaging. However, the decomposition process may suffer from significant noise amplification, leading to severely degraded image…

In spectral CT reconstruction, the basis materials decomposition involves solving a large-scale nonlinear system of integral equations, which is highly ill-posed mathematically. This paper proposes a model that parameterizes the attenuation…

Image and Video Processing · Electrical Eng. & Systems 2026-04-07 Ligen Shi , Ping Yang , Chang Liu , Wei Zhang , Xing Zhao , Jun Qiu

In the paper we address the problem of finding the most probable state of discrete Markov random field (MRF) with associative pairwise terms. Although of practical importance, this problem is known to be NP-hard in general. We propose a new…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Anton Osokin , Dmitry Vetrov , Vladimir Kolmogorov

Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Yuxiang Dai , Peixian Zhuang

The field of medical image reconstruction has seen roughly four types of methods. The first type tended to be analytical methods, such as filtered back-projection (FBP) for X-ray computed tomography (CT) and the inverse Fourier transform…

Image and Video Processing · Electrical Eng. & Systems 2019-08-19 Saiprasad Ravishankar , Jong Chul Ye , Jeffrey A. Fessler

A non-intrusive model order reduction (MOR) method for solving parameterized electromagnetic scattering problems is proposed in this paper. A database collecting snapshots of high-fidelity solutions is built by solving the parameterized…

Numerical Analysis · Mathematics 2022-07-19 Xiao-Feng He , Liang Li , Stephane Lanteri , Kun Li

In this paper, we present new image segmentation methods based on hidden Markov random fields (HMRFs) and cuckoo search (CS) variants. HMRFs model the segmentation problem as a minimization of an energy function. CS algorithm is one of the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 EL-Hachemi Guerrout , Ramdane Mahiou , Randa Boukabene , Assia Ouali

Material decomposition for imaging multiple contrast agents in a single acquisition has been made possible by spectral CT: a modality which incorporates multiple photon energy spectral sensitivities into a single data collection. This work…

Medical Physics · Physics 2020-08-11 Matthew Tivnan , Steven Tilley , J. Webster Stayman

The positive outcome of a trauma intervention depends on an intraoperative evaluation of inserted metallic implants. Due to occurring metal artifacts, the quality of this evaluation heavily depends on the performance of so-called Metal…

Image and Video Processing · Electrical Eng. & Systems 2021-12-07 Tristan M. Gottschalk , Andreas Maier , Florian Kordon , Björn W. Kreher

Artifacts in kilo-Voltage CT (kVCT) imaging degrade image quality, impacting clinical decisions. We propose a deep learning framework for metal artifact reduction (MAR) and domain transformation from kVCT to Mega-Voltage CT (MVCT). The…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Mubashara Rehman , Niki Martinel , Michele Avanzo , Riccardo Spizzo , Christian Micheloni

Spectral photon-counting X-ray CT (sCT) opens up new possibilities for the quantitative measurement of materials in an object, compared to conventional energy-integrating CT or dual energy CT. However, achieving reliable and accurate…

Image and Video Processing · Electrical Eng. & Systems 2020-07-15 Bingqing Xie , Pei Niu , Ting Su , Valérie Kaftandjian , Loic Boussel , Philippe Douek Feng Yang , Philippe Duvauchelle , Yuemin Zhu

Hyperspectral images (HIS) classification is a high technical remote sensing tool. The goal is to reproduce a thematic map that will be compared with a reference ground truth map (GT), constructed by expecting the region. The HIS contains…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 ELkebir Sarhrouni , Ahmed Hammouch , Driss Aboutajdine

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

Machine Learning · Computer Science 2015-02-10 Alina Ene , Huy L. Nguyen

A common problem with segmentation of medical images using neural networks is the difficulty to obtain a significant number of pixel-level annotated data for training. To address this issue, we proposed a semi-supervised segmentation…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Ange Lou , Kareem Tawfik , Xing Yao , Ziteng Liu , Jack Noble

For medical image analysis, segmentation models trained on one or several domains lack generalization ability to unseen domains due to discrepancies between different data acquisition policies. We argue that the degeneration in segmentation…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Ziqi Zhou , Lei Qi , Yinghuan Shi

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

Machine Learning · Computer Science 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

This paper addresses the problem of mapping high-dimensional data to a low-dimensional space, in the presence of other known features. This problem is ubiquitous in science and engineering as there are often controllable/measurable features…

Machine Learning · Statistics 2024-01-01 Anh Tuan Bui