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In supervised learning for image denoising, usually the paired clean images and noisy images are collected or synthesised to train a denoising model. L2 norm loss or other distance functions are used as the objective function for training.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Yutong Xie , Minne Yuan , Bin Dong , Quanzheng Li

This paper addresses the problem of single image super-resolution (SR), which consists of recovering a high resolution image from its blurred, decimated and noisy version. The existing algorithms for single image SR use different strategies…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Ningning Zhao , Qi Wei , Adrian Basarab , Nicolas Dobigeon , Denis Kouame , Jean-Yves Tourneret

With the advent of sophisticated cameras, the urge to capture high-quality images has grown enormous. However, the noise contamination of the images results in substandard expectations among the people; thus, image denoising is an essential…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Kelum Gajamannage , Yonggi Park , S. M. Mallikarjunaiah , Sunil Mathur

We propose a PDE-constrained optimization approach for the determination of noise distribution in total variation (TV) image denoising. An optimization problem for the determination of the weights correspondent to different types of noise…

Optimization and Control · Mathematics 2012-07-17 Juan-Carlos De los Reyes , Carola-Bibiane Schönlieb

Diffusion models have emerged as the leading approach for text-to-image generation. However, their iterative sampling process, which gradually morphs random noise into coherent images, introduces significant latency that limits their…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Peijie Qiu , Hariharan Ramshankar , Arnau Ramisa , René Vidal , Amit Kumar K C , Vamsi Salaka , Rahul Bhagat

Plug-and-Play (PnP) algorithms are a class of iterative algorithms that address image inverse problems by combining a physical model and a deep neural network for regularization. Even if they produce impressive image restoration results,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Marien Renaud , Jean Prost , Arthur Leclaire , Nicolas Papadakis

This paper describes a simple image noise removal method which combines a preprocessing step with the Yaroslavsky filter for strong numerical, visual, and theoretical performance on a broad class of images. The framework developed is a…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 Joseph Salmon , Rebecca Willett , Ery Arias-Castro

This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering,…

Computer Vision and Pattern Recognition · Computer Science 2013-08-07 H. Lakshman , W. -Q Lim , H. Schwarz , D. Marpe , G. Kutyniok , T. Wiegand

We propose a federated algorithm for reconstructing images using multimodal tomographic data sourced from dispersed locations, addressing the challenges of traditional unimodal approaches that are prone to noise and reduced image quality.…

Optimization and Control · Mathematics 2025-01-13 Geunyeong Byeon , Minseok Ryu , Zichao Wendy Di , Kibaek Kim

Experimentally acquired microscopy images are unavoidably affected by the presence of noise and other unwanted signals, which degrade their quality and might hide relevant features. With the recent increase in image acquisition rate, modern…

Image and Video Processing · Electrical Eng. & Systems 2025-05-15 Marco Corrias , Giada Franceschi , Michele Riva , Alberto Tampieri , Karin Föttinger , Ulrike Diebold , Thomas Pock , Cesare Franchini

Image denoising stands as a critical challenge in image processing and computer vision, aiming to restore the original image from noise-affected versions caused by various intrinsic and extrinsic factors. This process is essential for…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Peter Luvton , Alfredo Castillejos , Jim Zhao , Christina Chajo

Iterative regularization exploits the implicit bias of an optimization algorithm to regularize ill-posed problems. Constructing algorithms with such built-in regularization mechanisms is a classic challenge in inverse problems but also in…

Optimization and Control · Mathematics 2022-02-02 Cesare Molinari , Mathurin Massias , Lorenzo Rosasco , Silvia Villa

The problem of numerical differentiation can be thought of as an inverse problem by considering it as solving a Volterra equation. It is well known that such inverse integral problems are ill-posed and one requires regularization methods to…

Numerical Analysis · Mathematics 2020-04-15 Abinash Nayak

One of the fundamental challenges in image restoration is denoising, where the objective is to estimate the clean image from its noisy measurements. To tackle such an ill-posed inverse problem, the existing denoising approaches generally…

Computer Vision and Pattern Recognition · Computer Science 2021-11-12 Lanqing Guo , Siyu Huang , Haosen Liu , Bihan Wen

We present a method for supervised learning of sparsity-promoting regularizers for denoising signals and images. Sparsity-promoting regularization is a key ingredient in solving modern signal reconstruction problems; however, the operators…

Machine Learning · Computer Science 2023-09-07 Avrajit Ghosh , Michael T. McCann , Madeline Mitchell , Saiprasad Ravishankar

Image segmentation is a core task in image processing, yet many methods degrade when images are heavily corrupted by noise and exhibit intensity inhomogeneity. Within the iterative-convolution thresholding method (ICTM) framework, we…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Xinyu Wang , Wenjun Yao , Fanghui Song , Zhichang Guo

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

We introduce a new class of iterative image reconstruction algorithms for radio interferometry, at the interface of convex optimization and deep learning, inspired by plug-and-play methods. The approach consists in learning a prior image…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matthieu Terris , Arwa Dabbech , Chao Tang , Yves Wiaux

We build a collaborative filtering recommender system to restore images with impulse noise for which the noisy pixels have been previously identified. We define this recommender system in terms of a new color image representation using…

Computer Vision and Pattern Recognition · Computer Science 2017-02-27 Alfredo Nava-Tudela

Group sparsity has shown great potential in various low-level vision tasks (e.g, image denoising, deblurring and inpainting). In this paper, we propose a new prior model for image denoising via group sparsity residual constraint (GSRC). To…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Zhiyuan Zha , Xin Liu , Ziheng Zhou , Xiaohua Huang , Jingang Shi , Zhenhong Shang , Lan Tang , Yechao Bai , Qiong Wang , Xinggan Zhang
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