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Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Romain Vo , Julián Tachella

Spectral computed tomography (CT) has attracted much attention in radiation dose reduction, metal artifacts removal, tissue quantification and material discrimination. The x-ray energy spectrum is divided into several bins, each…

Image and Video Processing · Electrical Eng. & Systems 2021-08-26 Weiwen Wu , Dianlin Hu , Chuang Niu , Lieza Vanden Broeke , Anthony P. H. Butler , Peng Cao , James Atlas , Alexander Chernoglazov , Varut Vardhanabhuti , Ge Wang

Inverse problems arise in a wide spectrum of applications in fields ranging from engineering to scientific computation. Connected with the rise of interest in inverse problems is the development and analysis of regularization methods, such…

Numerical Analysis · Mathematics 2025-05-12 Abinash Nayak

Deep learning (DL) has emerged as a tool for improving accelerated MRI reconstruction. A common strategy among DL methods is the physics-based approach, where a regularized iterative algorithm alternating between data consistency and a…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Burhaneddin Yaman , Seyed Amir Hossein Hosseini , Steen Moeller , Jutta Ellermann , Kâmil Uǧurbil , Mehmet Akçakaya

Inverse problems span across diverse fields. In medical contexts, computed tomography (CT) plays a crucial role in reconstructing a patient's internal structure, presenting challenges due to artifacts caused by inherently ill-posed inverse…

Image and Video Processing · Electrical Eng. & Systems 2024-04-01 Ishak Ayad , Nicolas Larue , Maï K. Nguyen

Inverse scattering problems, such as those in electromagnetic imaging using phaseless data (PD-ISPs), involve imaging objects using phaseless measurements of wave scattering. Such inverse problems can be highly non-linear and ill-posed…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Samruddhi Deshmukh , Amartansh Dubey , Ross Murch

Convex quadratic programs (QPs) are fundamental to numerous applications, including finance, engineering, and energy systems. Among the various methods for solving them, the Douglas-Rachford (DR) splitting algorithm is notable for its…

Optimization and Control · Mathematics 2025-08-19 Jinxin Xiong , Xi Gao , Linxin Yang , Jiang Xue , Xiaodong Luo , Akang Wang

Sparse-view Computed Tomography (CT) is an emerging protocol designed to reduce X-ray dose radiation in medical imaging. Traditional Filtered Back Projection algorithm reconstructions suffer from severe artifacts due to sparse data. In…

Numerical Analysis · Mathematics 2024-12-03 Elena Loli Piccolomini , Davide Evangelista , Elena Morotti

We propose a new type of efficient deep-unrolling networks for solving imaging inverse problems. Conventional deep-unrolling methods require full forward operator and its adjoint across each layer, and hence can be significantly more…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

Limited-angle computerized tomography stands for one of the most difficult challenges in imaging. Although it opens the way to faster data acquisition in industry and less dangerous scans in medicine, standard approaches, such as the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Bernadette Hahn , Gael Rigaud , Richard Schmähl

3D volumetric reconstruction from incomplete or noisy measurements is a fundamental problem in medical imaging and computational tomography. Deep image prior (DIP)-based methods have recently shown strong capability for solving inverse…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Haijie Yuan , Chaoyan Huang , Srijita Bandopadhyay , Liyue Shen , Saiprasad Ravishankar

Optimization problems over permutation matrices appear widely in facility layout, chip design, scheduling, pattern recognition, computer vision, graph matching, etc. Since this problem is NP-hard due to the combinatorial nature of…

Optimization and Control · Mathematics 2016-09-01 Bo Jiang , Ya-Feng Liu , Zaiwen Wen

Purpose: The purpose of the challenge is to find the deep-learning technique for sparse-view CT image reconstruction that can yield the minimum RMSE under ideal conditions, thereby addressing the question of whether or not deep learning can…

Medical Physics · Physics 2022-10-12 Emil Y. Sidky , Xiaochuan Pan

X-ray Computed Tomography (CT) is widely used in clinical applications such as diagnosis and image-guided interventions. In this paper, we propose a new deep learning based model for CT image reconstruction with the backbone network…

Image and Video Processing · Electrical Eng. & Systems 2020-09-21 Haimiao Zhang , Baodong Liu , Hengyong Yu , Bin Dong

Machine learning has achieved impressive performance in tomographic reconstruction, but supervised training requires paired measurements and ground-truth images that are often unavailable. This has motivated self-supervised approaches,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Markus Haltmeier , Lukas Neumann , Nadja Gruber , Gyeongha Hwang

While deep neural networks (DNNs) have proven to be efficient for numerous tasks, they come at a high memory and computation cost, thus making them impractical on resource-limited devices. However, these networks are known to contain a…

Neural and Evolutionary Computing · Computer Science 2020-07-21 Anthony Berthelier , Yongzhe Yan , Thierry Chateau , Christophe Blanc , Stefan Duffner , Christophe Garcia

Low performance pixels (LPP) in Computed Tomography (CT) detectors would lead to ring and streak artifacts in the reconstructed images, making them clinically unusable. In recent years, several solutions have been proposed to correct LPP…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Hongxu Yang , Levente Lippenszky , Edina Timko , Lehel Ferenczi , Gopal Avinash

In the practical applications of computed tomography imaging, the projection data may be acquired within a limited-angle range and corrupted by noises due to the limitation of scanning conditions. The noisy incomplete projection data…

Image and Video Processing · Electrical Eng. & Systems 2022-08-02 Qifeng Gao , Rui Ding , Linyuan Wang , Bin Xue , Yuping Duan

Ptychography is a coherent diffraction imaging method that uses phase retrieval techniques to reconstruct complex-valued images. It achieves this by sequentially illuminating overlapping regions of a sample with a coherent beam and…

Image and Video Processing · Electrical Eng. & Systems 2024-12-04 Alexander Denker , Johannes Hertrich , Zeljko Kereta , Silvia Cipiccia , Ecem Erin , Simon Arridge

We propose a partially learned approach for the solution of ill posed inverse problems with not necessarily linear forward operators. The method builds on ideas from classical regularization theory and recent advances in deep learning to…

Optimization and Control · Mathematics 2017-11-27 Jonas Adler , Ozan Öktem