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A novel method, utilizing convolutional neural networks (CNNs), is proposed to reconstruct hyperspectral cubes from computed tomography imaging spectrometer (CTIS) images. Current reconstruction algorithms are usually subject to long…

Image and Video Processing · Electrical Eng. & Systems 2022-03-16 Wei-Chih Huang , Mads Svanborg Peters , Mads Juul Ahlebaek , Mads Toudal Frandsen , René Lynge Eriksen , Bjarke Jørgensen

Hybrid spectral CT integrates energy integrating detectors (EID) and photon counting detectors (PCD) into a single system, combining the large field-of-view advantage of EID with the high energy and spatial resolution of PCD. This…

Medical Physics · Physics 2024-10-25 Huiying Pan , Jianing Sun , Xu Jiang , Xing Zhao

Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

The potential huge advantage of spectral computed tomography (CT) is its capability to provide accuracy material identification and quantitative tissue information. This can benefit clinical applications, such as brain angiography, early…

Image and Video Processing · Electrical Eng. & Systems 2020-08-18 Weiwen Wu , Haijun Yu , Peijun Chen , Fulin Luo , Fenglin Liu , Qian Wang , Yining Zhu , Yanbo Zhang , Jian Feng , Hengyong Yu

This work is concerned with the optimization of nonconvex, nonsmooth composite optimization problems, whose objective is a composition of a nonlinear mapping and a nonsmooth nonconvex function, that can be written as an infimal convolution…

Optimization and Control · Mathematics 2018-03-28 Emanuel Laude , Daniel Cremers

We propose and analyse primal-dual interior-point algorithms for convex optimization problems in conic form. The families of algorithms we analyse are so-called short-step algorithms and they match the current best iteration complexity…

Optimization and Control · Mathematics 2014-11-11 Tor Myklebust , Levent Tunçel

We consider structured minimization problems subject to smooth inequality constraints and present a flexible algorithm that combines interior point (IP) and proximal gradient schemes. While traditional IP methods cannot cope with nonsmooth…

Optimization and Control · Mathematics 2024-07-11 Alberto De Marchi , Andreas Themelis

Constructing effective image priors is critical to solving ill-posed inverse problems in image processing and imaging. Recent works proposed to exploit image non-local similarity for inverse problems by grouping similar patches and…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Lanqing Guo , Zhiyuan Zha , Saiprasad Ravishankar , Bihan Wen

Dual decomposition has been successfully employed in a variety of distributed convex optimization problems solved by a network of computing and communicating nodes. Often, when the cost function is separable but the constraints are coupled,…

Optimization and Control · Mathematics 2017-09-18 Andrea Simonetto , Hadi Jamali-Rad

This paper is devoted to the study of an inertial accelerated primal-dual algorithm, which is based on a second-order differential system with time scaling, for solving a non-smooth convex optimization problem with linear equality…

Optimization and Control · Mathematics 2026-04-30 Huan Zhang , Xiangkai Sun , Shengjie Li , Kok Lay Teo

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

This paper introduces a novel collaborative neurodynamic model for computing nonnegative Canonical Polyadic Decomposition (CPD). The model relies on a system of recurrent neural networks to solve the underlying nonconvex optimization…

Numerical Analysis · Mathematics 2025-01-03 Salman Ahmadi-Asl , Valentin Leplat , Anh-Huy Phan , Andrzej Cichocki

In optimization-based image restoration models, the correct selection of hyperparameters is crucial for achieving superior performance. However, current research typically involves manual tuning of these hyperparameters, which is highly…

Optimization and Control · Mathematics 2026-04-03 Hang Xie , Xuewen Li , Peili Li , Qiuyu Wang

Optical Coherence Tomography (OCT) is a widely used non-invasive biomedical imaging modality that can rapidly provide volumetric images of samples. Here, we present a deep learning-based image reconstruction framework that can generate…

Image and Video Processing · Electrical Eng. & Systems 2021-07-30 Yijie Zhang , Tairan Liu , Manmohan Singh , Yilin Luo , Yair Rivenson , Kirill V. Larin , Aydogan Ozcan

Background: Limited-angle (LA) dual-energy (DE) cone-beam CT (CBCT) is considered as a potential solution to achieve fast and low-dose DE imaging on current CBCT scanners without hardware modification. However, its clinical implementations…

We propose a new image restoration model based on the minimized surface regularization. The proposed model closely relates to the classical smoothing ROF model \cite{4}. We can reformulate the proposed model as a min-max problem and solve…

Optimization and Control · Mathematics 2016-05-31 Zhi-Feng Pang , Yuping Duan

This paper presents a new variational inference framework for image restoration and a convolutional neural network (CNN) structure that can solve the restoration problems described by the proposed framework. Earlier CNN-based image…

Image and Video Processing · Electrical Eng. & Systems 2022-07-20 Jae Woong Soh , Nam Ik Cho

Image restoration remains a challenging task in image processing. Numerous methods tackle this problem, often solved by minimizing a non-smooth penalized co-log-likelihood function. Although the solution is easily interpretable with…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Mingyuan Jiu , Nelly Pustelnik

We propose a direct reconstruction algorithm for Computed Tomography, based on a local fusion of a few preliminary image estimates by means of a non-linear fusion rule. One such rule is based on a signal denoising technique which is…

Computer Vision and Pattern Recognition · Computer Science 2010-04-27 Joseph Shtok , Michael Zibulevsky , Michael Elad

We study the problem of super-resolution, where we recover the locations and weights of non-negative point sources from a few samples of their convolution with a Gaussian kernel. It has been recently shown that exact recovery is possible by…

Optimization and Control · Mathematics 2019-05-09 Stephane Chretien , Andrew Thompson , Bogdan Toader