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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

Purpose: To develop generic optimization strategies for image reconstruction using graphical processing units (GPUs) in magnetic resonance imaging (MRI) and to exemplarily report about our experience with a highly accelerated implementation…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Sebastian Schaetz , Dirk Voit , Jens Frahm , Martin Uecker

Image denoising is essential for removing noise in images caused by electric device malfunctions or other factors during image acquisition. It ensures the preservation of image quality and accurate interpretation. Many convolutional…

Quantum Physics · Physics 2025-10-22 Tara Kit , Kimsay Pov , Kimleang Kea , Won-Du Chang , Hee Chul Park , Youngsun Han

In image denoising (IDN) processing, the low-rank property is usually considered as an important image prior. As a convex relaxation approximation of low rank, nuclear norm based algorithms and their variants have attracted significant…

Image and Video Processing · Electrical Eng. & Systems 2020-04-03 Yanwei Zhao , Ping Yang , Qiu Guan , Jianwei Zheng , Wanliang Wang

In this paper, we consider Bayesian image denoising based on a Gaussian Markov random field (GMRF) model, for which we propose an new algorithm. Our method can solve Bayesian image denoising problems, including hyperparameter estimation, in…

Machine Learning · Statistics 2020-03-04 Muneki Yasuda , Junpei Watanabe , Shun Kataoka , kazuyuki Tanaka

Machine learning techniques work best when the data used for training resembles the data used for evaluation. This holds true for learned single-image denoising algorithms, which are applied to real raw camera sensor readings but, due to…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Tim Brooks , Ben Mildenhall , Tianfan Xue , Jiawen Chen , Dillon Sharlet , Jonathan T. Barron

We propose an unfolded accelerated projected-gradient descent procedure to estimate model and algorithmic parameters for image super-resolution and molecule localization problems in image microscopy. The variational lower-level constraint…

Numerical Analysis · Mathematics 2024-03-27 Silvia Bonettini , Luca Calatroni , Danilo Pezzi , Marco Prato

Demosaicking and denoising are among the most crucial steps of modern digital camera pipelines and their joint treatment is a highly ill-posed inverse problem where at-least two-thirds of the information are missing and the rest are…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Filippos Kokkinos , Stamatios Lefkimmiatis

Bilevel optimisation is used in inverse imaging problems for hyperparameter learning/identification and experimental design, for instance, to find optimal regularisation parameters and forward operators. However, computationally, the…

Optimization and Control · Mathematics 2025-08-06 Ensio Suonperä , Tuomo Valkonen

Blind deconvolution is a challenging problem, but in low-light it is even more difficult. Existing algorithms, both classical and deep-learning based, are not designed for this condition. When the photon shot noise is strong, conventional…

Image and Video Processing · Electrical Eng. & Systems 2022-11-21 Yash Sanghvi , Abhiram Gnanasambandam , Zhiyuan Mao , Stanley H. Chan

In plug-and-play image restoration, the regularization is performed using powerful denoisers such as nonlocal means (NLM) or BM3D. This is done within the framework of alternating direction method of multipliers (ADMM), where the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Unni V. S. , Sanjay Ghosh , Kunal N. Chaudhury

This paper presents a deep learning method for faster magnetic resonance imaging (MRI) by reducing k-space data with sub-Nyquist sampling strategies and provides a rationale for why the proposed approach works well. Uniform subsampling is…

Machine Learning · Statistics 2019-05-14 Chang Min Hyun , Hwa Pyung Kim , Sung Min Lee , Sungchul Lee , Jin Keun Seo

In this paper, we introduce a novel unsupervised video denoising deep learning approach that can help to mitigate data scarcity issues and shows robustness against different noise patterns, enhancing its broad applicability. Our method…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Mary Damilola Aiyetigbo , Dineshchandar Ravichandran , Reda Chalhoub , Peter Kalivas , Nianyi Li

Blind image deblurring is an important yet very challenging problem in low-level vision. Traditional optimization based methods generally formulate this task as a maximum-a-posteriori estimation or variational inference problem, whose…

Image and Video Processing · Electrical Eng. & Systems 2021-06-08 Hui Wang , Zongsheng Yue , Qian Zhao , Deyu Meng

Bilinear models that decompose dynamic data to spatial and temporal factors are powerful and memory-efficient tools for the recovery of dynamic MRI data. These methods rely on sparsity and energy compaction priors on the factors to…

Image and Video Processing · Electrical Eng. & Systems 2021-07-01 Abdul Haseeb Ahmed , Prashant Nagpal , Mathews Jacob

Microstructure imaging is crucial in materials science, but experimental images often introduce noise that obscures critical structural details. This study presents a novel deep learning approach for robust microstructure image denoising,…

Materials Science · Physics 2025-07-03 Owais Ahmad , Albert Linda , Saumya Ranjan Jha , Somnath Bhowmick

Object: Modern computational MRI denoising approaches are often designed assuming fixed k-space coverage. This contrasts with earlier acquisition-design literature that leveraged k-space coverage modifications (e.g., reducing spatial…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Jiayang Wang , Justin P. Haldar

In this paper, we propose a unified framework of denoising score-based models in the context of graduated non-convex energy minimization. We show that for sufficiently large noise variance, the associated negative log density -- the energy…

Machine Learning · Computer Science 2023-02-22 Erich Kobler , Thomas Pock

In this paper, we introduce a denoising diffusion algorithm to discover microstructures with nonlinear fine-tuned properties. Denoising diffusion probabilistic models are generative models that use diffusion-based dynamics to gradually…

Machine Learning · Computer Science 2023-06-14 Nikolaos N. Vlassis , WaiChing Sun

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) denoising. Unfortunately, with more spectral bands for HSI, while the running time of these methods significantly…

Computer Vision and Pattern Recognition · Computer Science 2019-03-28 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao