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It's well-known that inverse problems are ill-posed and to solve them meaningfully, one has to employ regularization methods. Traditionally, popular regularization methods are the penalized Variational approaches. In recent years, the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Abinash Nayak

Radio map estimation (RME), also known as spectrum cartography, aims to reconstruct the strength of radio interference across different domains (e.g., space and frequency) from sparsely sampled measurements. To tackle this typical inverse…

Signal Processing · Electrical Eng. & Systems 2025-06-27 Le Xu , Lei Cheng , Junting Chen , Wenqiang Pu , Xiao Fu

In this paper, we propose an algorithmic framework, dubbed inertial alternating direction methods of multipliers (iADMM), for solving a class of nonconvex nonsmooth multiblock composite optimization problems with linear constraints. Our…

Optimization and Control · Mathematics 2023-01-26 Le Thi Khanh Hien , Duy Nhat Phan , Nicolas Gillis

Cardiac contraction is a rapid, coordinated process that unfolds across three-dimensional tissue on millisecond timescales. Traditional optical imaging is often inadequate for capturing dynamic cellular structure in the beating heart…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Yi Gong , Xinyuan Zhang , Jichen Chai , Yichen Ding , Yifei Lou

This paper presents a novel deformable registration framework, leveraging an image prior specified through a denoising function, for severely noise-corrupted placental images. Recent work on plug-and-play (PnP) priors has shown the…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Jiarui Xing , Ulugbek Kamilov , Wenjie Wu , Yong Wang , Miaomiao Zhang

Filtering multi-dimensional images such as color images, color videos, multispectral images and magnetic resonance images is challenging in terms of both effectiveness and efficiency. Leveraging the nonlocal self-similarity (NLSS)…

Image and Video Processing · Electrical Eng. & Systems 2020-11-09 Zhaoming Kong , Xiaowei Yang , Lifang He

Achieving high-quality Magnetic Resonance Imaging (MRI) reconstruction at accelerated acquisition rates remains challenging due to the inherent ill-posed nature of the inverse problem. Traditional Compressed Sensing (CS) methods, while…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Pierre-Antoine Comby , Benjamin Lapostolle , Matthieu Terris , Philippe Ciuciu

Model-based methods play a key role in the reconstruction of compressed sensing (CS) MRI. Finding an effective prior to describe the statistical distribution of the image family of interest is crucial for model-based methods. Plug-and-play…

Image and Video Processing · Electrical Eng. & Systems 2024-11-27 Tao Hong , Xiaojian Xu , Jason Hu , Jeffrey A. Fessler

We introduce a new, integrated approach to uncalibrated photometric stereo. We perform 3D reconstruction of Lambertian objects using multiple images produced by unknown, directional light sources. We show how to formulate a single…

Computer Vision and Pattern Recognition · Computer Science 2017-02-03 Soumyadip Sengupta , Hao Zhou , Walter Forkel , Ronen Basri , Tom Goldstein , David W. Jacobs

Image restoration requires a careful balance between noise suppression and structure preservation. While first-order total variation (TV) regularization effectively preserves edges, it often introduces staircase artifacts, whereas…

Numerical Analysis · Mathematics 2025-11-13 Liang Luo , Lei Zhang

The parameter selection is crucial to regularization based image restoration methods. Generally speaking, a spatially fixed parameter for regularization item in the whole image does not perform well for both edge and smooth areas. A larger…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Tingting Zhang , Jie Chen , Caiying Wu , Zhifei He , Tieyong Zeng , Qiyu Jin

Adaptive optics (AO) corrected ood imaging of the retina is a popular technique for studying the retinal structure and function in the living eye. However, the raw retinal images are usually of poor contrast and the interpretation of such…

Optimization and Control · Mathematics 2020-12-30 Xiaotong Chen , James L. Herring , James G. Nagy , Yuanzhe Xi , Bo Yu

Purpose The proposed reconstruction framework addresses the reconstruction accuracy, noise propagation and computation time for Magnetic Resonance Fingerprinting (MRF). Methods Based on a singular value decomposition (SVD) of the signal…

We present a new approach for nonlocal image denoising, based around the application of an unnormalized extended Gaussian ANOVA kernel within a bilevel optimization algorithm. A critical bottleneck when solving such problems for…

Numerical Analysis · Mathematics 2025-05-14 Andrés Miniguano-Trujillo , John W. Pearson , Benjamin D. Goddard

With the widespread application of convolutional neural networks (CNNs), the traditional model based denoising algorithms are now outperformed. However, CNNs face two problems. First, they are computationally demanding, which makes their…

Image and Video Processing · Electrical Eng. & Systems 2024-03-07 Yu Guo , Axel Davy , Gabriele Facciolo , Jean-Michel Morel , Qiyu Jin

Current spatiotemporal deep learning approaches to Magnetic Resonance Fingerprinting (MRF) build artefact-removal models customised to a particular k-space subsampling pattern which is used for fast (compressed) acquisition. This may not be…

Image and Video Processing · Electrical Eng. & Systems 2022-02-14 Ketan Fatania , Carolin M. Pirkl , Marion I. Menzel , Peter Hall , Mohammad Golbabaee

Magnetic resonance imaging (MRI) plays an important role in modern medical diagnostic but suffers from prolonged scan time. Current deep learning methods for undersampled MRI reconstruction exhibit good performance in image de-aliasing…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Min Xiao , Zi Wang , Jiefeng Guo , Xiaobo Qu

We propose a new way to correct for the non-uniformity (NU) and the noise in uncooled infrared-type images. This method works on static images, needs no registration, no camera motion and no model for the non uniformity. The proposed method…

Image and Video Processing · Electrical Eng. & Systems 2024-11-07 Yohann Tendero , Jerome Gilles

Dynamic imaging addresses the recovery of a time-varying 2D or 3D object at each time instant using its undersampled measurements. In particular, in the case of dynamic tomography, only a single projection at a single view angle may be…

Image and Video Processing · Electrical Eng. & Systems 2024-05-09 Berk Iskender , Marc L. Klasky , Yoram Bresler

Magnetic resonance imaging (MRI) is central to the diagnosis of multiple sclerosis, where the identification of biomarkers such as the central vein sign benefits from high-resolution images. However, most clinical brain MRI scans are…

Optimization and Control · Mathematics 2026-03-05 Matteo Cannas , Alice Mariottini , Luca Massacesi , Federica Porta , Simone Rebegoldi , Andrea Sebastiani