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Deep-neural-network-based image reconstruction has demonstrated promising performance in medical imaging for under-sampled and low-dose scenarios. However, it requires large amount of memory and extensive time for the training. It is…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Dufan Wu , Kyungsang Kim , Quanzheng Li

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

Numerical Analysis · Mathematics 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

Equivariant and invariant deep learning models have been developed to exploit intrinsic symmetries in data, demonstrating significant effectiveness in certain scenarios. However, these methods often suffer from limited representation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Yulu Bai , Jiahong Fu , Qi Xie , Deyu Meng

The image reconstruction process in medical imaging can be treated as solving an inverse problem. The inverse problem is usually solved using time-consuming iterative algorithms with sparsity or other constraints. Recently, deep neural…

Medical Physics · Physics 2021-10-29 Jingke Zhang , Qiong He , Congzhi Wang , Hongen Liao , Jianwen Luo

Recently, deep learning-based compressed sensing (CS) has achieved great success in reducing the sampling and computational cost of sensing systems and improving the reconstruction quality. These approaches, however, largely overlook the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Yu Zhou , Yu Chen , Xiao Zhang , Pan Lai , Lei Huang , Jianmin Jiang

Inverse problems are inherently ill-posed, suffering from non-uniqueness and instability. Classical regularization methods provide mathematically well-founded solutions, ensuring stability and convergence, but often at the cost of reduced…

Numerical Analysis · Mathematics 2026-01-21 Markus Haltmeier , Gyeongha Hwang

One primary technical challenge in photoacoustic microscopy (PAM) is the necessary compromise between spatial resolution and imaging speed. In this study, we propose a novel application of deep learning principles to reconstruct…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Anthony DiSpirito , Daiwei Li , Tri Vu , Maomao Chen , Dong Zhang , Jianwen Luo , Roarke Horstmeyer , Junjie Yao

Diffuse Optical Tomography (DOT) is an emerging technology in medical imaging which employs light in the NIR spectrum to estimate the distribution of optical coefficients in biological tissues for diagnostic and monitoring purposes. DOT…

Numerical Analysis · Mathematics 2022-05-27 Alessandro Benfenati , Giuseppe Bisazza , Paola Causin

Compressed sensing (CS) is a challenging problem in image processing due to reconstructing an almost complete image from a limited measurement. To achieve fast and accurate CS reconstruction, we synthesize the advantages of two well-known…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Nanyu Li , Charles C. Zhou

Proper regularization is crucial in inverse problems to achieve high-quality reconstruction, even with an ill-conditioned measurement system. This is particularly true for three-dimensional photoacoustic tomography, which is computationally…

Optimization and Control · Mathematics 2024-09-26 Chao Wang , Alexandre H. Thiery

Computed tomography (CT) is a widely used non-invasive diagnostic method in various fields, and recent advances in deep learning have led to significant progress in CT image reconstruction. However, the lack of large-scale, open-access…

Image and Video Processing · Electrical Eng. & Systems 2024-12-12 Maximilian B. Kiss , Ander Biguri , Zakhar Shumaylov , Ferdia Sherry , K. Joost Batenburg , Carola-Bibiane Schönlieb , Felix Lucka

An emerging new paradigm for solving inverse problems is via the use of deep learning to learn a regularizer from data. This leads to high-quality results, but often at the cost of provable guarantees. In this work, we show how…

Machine Learning · Computer Science 2023-11-06 Zakhar Shumaylov , Jeremy Budd , Subhadip Mukherjee , Carola-Bibiane Schönlieb

In this paper, we introduce deep learning technology to tackle two traditional low-level image processing problems, companding and inverse halftoning. We make two main contributions. First, to the best knowledge of the authors, this is the…

Computer Vision and Pattern Recognition · Computer Science 2017-07-24 Xianxu Hou , Guoping Qiu

Most compressive sensing (CS) reconstruction methods can be divided into two categories, i.e. model-based methods and classical deep network methods. By unfolding the iterative optimization algorithm for model-based methods onto networks,…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Zhonghao Zhang , Yipeng Liu , Jiani Liu , Fei Wen , Ce Zhu

The solution of inverse problems is crucial in various fields such as medicine, biology, and engineering, where one seeks to find a solution from noisy observations. These problems often exhibit non-uniqueness and ill-posedness, resulting…

Numerical Analysis · Mathematics 2024-10-21 Markus Haltmeier , Richard Kowar , Markus Tiefenthaler

In this paper, we explore a novel method for tomographic image reconstruction in the field of SPECT imaging. Deep Learning methodologies and more specifically deep convolutional neural networks (CNN) are employed in the new reconstruction…

Machine Learning · Computer Science 2020-10-20 Charalambos Chrysostomou , Loizos Koutsantonis , Christos Lemesios , Costas N. Papanicolas

Deep network-based image Compressed Sensing (CS) has attracted much attention in recent years. However, the existing deep network-based CS schemes either reconstruct the target image in a block-by-block manner that leads to serious block…

Image and Video Processing · Electrical Eng. & Systems 2021-12-08 Wenxue Cui , Shaohui Liu , Feng Jiang , Debin Zhao

Compressive sensing is a method to recover the original image from undersampled measurements. In order to overcome the ill-posedness of this inverse problem, image priors are used such as sparsity in the wavelet domain, minimum…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Magauiya Zhussip , Shakarim Soltanayev , Se Young Chun

We introduce a new algorithm for regularized reconstruction of multispectral (MS) images from noisy linear measurements. Unlike traditional approaches, the proposed algorithm regularizes the recovery problem by using a prior specified…

Image and Video Processing · Electrical Eng. & Systems 2019-09-23 Jiaming Liu , Yu Sun , Ulugbek S. Kamilov