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Diffusion model shows remarkable potential on sparse-view computed tomography (SVCT) reconstruction. However, when a network is trained on a limited sample space, its generalization capability may be constrained, which degrades performance…

Image and Video Processing · Electrical Eng. & Systems 2025-11-11 Zekun Zhou , Tan Liu , Bing Yu , Yanru Gong , Liu Shi , Qiegen Liu

Computed tomography is a widely used imaging modality with applications ranging from medical imaging to material analysis. One major challenge arises from the lack of scanning information at certain angles, resulting in distortion or…

Snapshot compressive imaging (SCI) refers to compressive imaging systems where multiple frames are mapped into a single measurement, with video compressive imaging and hyperspectral compressive imaging as two representative applications.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Yang Liu , Xin Yuan , Jinli Suo , David J. Brady , Qionghai Dai

Magnetic resonance imaging (MRI) is an essential diagnostic tool that suffers from prolonged scan times. Reconstruction methods can alleviate this limitation by recovering clinically usable images from accelerated acquisitions. In…

Image and Video Processing · Electrical Eng. & Systems 2023-01-09 Salman UH Dar , Şaban Öztürk , Muzaffer Özbey , Tolga Çukur

Previous methods decompose blind super resolution (SR) problem into two sequential steps: \textit{i}) estimating blur kernel from given low-resolution (LR) image and \textit{ii}) restoring SR image based on estimated kernel. This two-step…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Zhengxiong Luo , Yan Huang , Shang Li , Liang Wang , Tieniu Tan

In computed tomography (CT), the relative trajectories of a sample, a detector, and a signal source are traditionally considered to be known, since they are caused by the intentional preprogrammed movement of the instrument parts. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-11 Mark Griguletskii , Mikhail Chekanov , Oleg Shipitko

Compressed sensing magnetic resonance imaging (CS-MRI) seeks to recover visual information from subsampled measurements for diagnostic tasks. Traditional CS-MRI methods often separately address measurement subsampling, image reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2024-11-08 Zihui Wu , Tianwei Yin , Yu Sun , Robert Frost , Andre van der Kouwe , Adrian V. Dalca , Katherine L. Bouman

X-ray scatter has been a serious concern in computed tomography (CT), leading to image artifacts and distortion of CT values. The linear Boltzmann transport equation (LBTE) is recognized as a fast and accurate approach for scatter…

Medical Physics · Physics 2025-08-29 Guoxi Zhu , Li Zhang , Zhiqiang Chen , Hewei Gao

We propose a stochastic conditional gradient method (CGM) for minimizing convex finite-sum objectives formed as a sum of smooth and non-smooth terms. Existing CGM variants for this template either suffer from slow convergence rates, or…

Machine Learning · Computer Science 2022-04-19 Gideon Dresdner , Maria-Luiza Vladarean , Gunnar Rätsch , Francesco Locatello , Volkan Cevher , Alp Yurtsever

Minimizing a convex function over the spectrahedron, i.e., the set of all positive semidefinite matrices with unit trace, is an important optimization task with many applications in optimization, machine learning, and signal processing. It…

Optimization and Control · Mathematics 2016-05-23 Dan Garber

Reconstructing high-quality magnetic resonance images (MRI) from undersampled raw data is of great interest from both technical and clinical point of views. To this date, however, it is still a mathematically and computationally challenging…

Numerical Analysis · Mathematics 2021-09-01 T. Schmoderer , A. I Aviles-Rivero , V. Corona , N. Debroux , C-B. Schönlieb

Parallel MRI is a fast imaging technique that enables the acquisition of highly resolved images in space. It relies on $k$-space undersampling and multiple receiver coils with complementary sensitivity profiles in order to reconstruct a…

There are many applications of graph cuts in computer vision, e.g. segmentation. We present a novel method to reformulate the NP-hard, k-way graph partitioning problem as an approximate minimal s-t graph cut problem, for which a globally…

Computer Vision and Pattern Recognition · Computer Science 2009-07-02 Ghassan Hamarneh

We present a general method of designing fast approximation algorithms for cut-based minimization problems in undirected graphs. In particular, we develop a technique that given any such problem that can be approximated quickly on trees,…

Data Structures and Algorithms · Computer Science 2010-11-09 Aleksander Madry

This paper introduces a novel computationally efficient method of solving the 3D single image super-resolution (SR) problem, i.e., reconstruction of a high-resolution volume from its low-resolution counterpart. The main contribution lies in…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Nwigbo Kenule Tuador , Duong Hung Pham , Jérôme Michetti , Adrian Basarab , Denis Kouamé

We propose a new stochastic proximal quasi-Newton method for minimizing the sum of two convex functions in the particular context that one of the functions is the average of a large number of smooth functions and the other one is nonsmooth.…

Optimization and Control · Mathematics 2024-12-24 Yongcun Song , Zimeng Wang , Xiaoming Yuan , Hangrui Yue

Decreasing magnetic resonance (MR) image acquisition times can potentially reduce procedural cost and make MR examinations more accessible. Compressed sensing (CS)-based image reconstruction methods, for example, decrease MR acquisition…

Image and Video Processing · Electrical Eng. & Systems 2018-10-31 Roberto Souza , Richard Frayne

This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal…

Information Theory · Computer Science 2012-10-17 Jun Fang , Yanning Shen , Hongbin Li

Dynamic Magnetic Resonance Imaging (dMRI) is widely used to assess various cardiac conditions such as cardiac motion and blood flow. To accelerate MR acquisition, techniques such as undersampling and Simultaneous Multi-Slice (SMS) are often…

Image and Video Processing · Electrical Eng. & Systems 2023-01-05 Daniel H. Pak , Xiao Chen , Eric Z. Chen , Yikang Liu , Terrence Chen , Shanhui Sun

The use of ray projections to reconstruct images is a common technique in medical imaging. Dealing with incomplete data is particularly important when a patient is vulnerable to potentially damaging radiation or is unable to cope with the…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Mohammad Majid al-Rifaie , Tim Blackwell