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Most of existing image denoising methods learn image priors from either external data or the noisy image itself to remove noise. However, priors learned from external data may not be adaptive to the image to be denoised, while priors…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Jun Xu , Lei Zhang , David Zhang

Denoising is of utmost importance for the visualization and processing of images featuring low signal-to-noise ratio. Total variation methods are among the most popular techniques to perform this task improving the signal-to-noise ratio…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Gonzalo D. Maso Talou , Pablo J. Blanco

This paper proposes an estimation framework to assess the performance of sorting over perturbed/noisy data. In particular, the recovering accuracy is measured in terms of Minimum Mean Square Error (MMSE) between the values of the sorting…

Information Theory · Computer Science 2019-09-04 Alex Dytso , Martina Cardone , H. Vincent Poor

Image denoising is a classic restoration problem. Yet, current deep learning methods are subject to the problems of generalization and interpretability. To mitigate these problems, in this project, we present a framework that is capable of…

Image and Video Processing · Electrical Eng. & Systems 2021-06-18 Haley Owsianko , Florian Cassayre , Qiyuan Liang

Self-supervised real-world image denoising remains a fundamental challenge, arising from the antagonistic trade-off between decorrelating spatially structured noise and preserving high-frequency details. Existing blind-spot network (BSN)…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Yiwen Shan , Haiyu Zhao , Peng Hu , Xi Peng , Yuanbiao Gou

This article studies the problem of image restoration of observed images corrupted by impulse noise and mixed Gaussian impulse noise. Since the pixels damaged by impulse noise contain no information about the true image, how to find this…

Optimization and Control · Mathematics 2014-07-30 Ming Yan

Many microscopy applications are limited by the total amount of usable light and are consequently challenged by the resulting levels of noise in the acquired images. This problem is often addressed via (supervised) deep learning based…

Image and Video Processing · Electrical Eng. & Systems 2020-08-20 Anna S. Goncharova , Alf Honigmann , Florian Jug , Alexander Krull

Supervised training for real-world denoising presents challenges due to the difficulty of collecting large datasets of paired noisy and clean images. Recent methods have attempted to address this by utilizing unpaired datasets of clean and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Hamadi Chihaoui , Paolo Favaro

We investigate the performance of ptychography with noisy data by analyzing the Cram\'{e}r Rao Lower Bound. The lower bound of ptychography is derived and numerically computed for both plane wave and structured illumination. The influence…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Xukang Wei , H. Paul Urbach

Poisson distributed measurements in inverse problems often stem from Poisson point processes that are observed through discretized or finite-resolution detectors, one of the most prominent examples being positron emission tomography (PET).…

Statistics Theory · Mathematics 2024-07-25 Marco Mauritz , Benedikt Wirth

Tweedie distributions are a special case of exponential dispersion models, which are often used in classical statistics as distributions for generalized linear models. Here, we reveal that Tweedie distributions also play key roles in modern…

Image and Video Processing · Electrical Eng. & Systems 2021-12-08 Kwanyoung Kim , Taesung Kwon , Jong Chul Ye

In unsupervised feature learning, sample specificity based methods ignore the inter-class information, which deteriorates the discriminative capability of representation models. Clustering based methods are error-prone to explore the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Yifei Zhang , Chang Liu , Yu Zhou , Wei Wang , Weiping Wang , Qixiang Ye

The problem of phase retrieval has many applications in the field of optical imaging. Motivated by imaging experiments with biological specimens, we primarily consider the setting of low-dose illumination where Poisson noise plays the…

Numerical Analysis · Mathematics 2024-03-28 Benedikt Diederichs , Frank Filbir , Patricia Römer

This paper considers a noisy data structure recovery problem. The goal is to investigate the following question: Given a noisy observation of a permuted data set, according to which permutation was the original data sorted? The focus is on…

Information Theory · Computer Science 2020-11-24 Minoh Jeong , Alex Dytso , Martina Cardone , H. Vincent Poor

A series of methods have been proposed to reconstruct an image from compressively sensed random measurement, but most of them have high time complexity and are inappropriate for patch-based compressed sensing capture, because of their…

Computer Vision and Pattern Recognition · Computer Science 2017-06-05 Guangtao Nie , Ying Fu , Yinqiang Zheng , Hua Huang

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song

Monte-Carlo path tracing is a powerful technique for realistic image synthesis but suffers from high levels of noise at low sample counts, limiting its use in real-time applications. To address this, we propose a framework with end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2023-10-06 Antoine Scardigli , Lukas Cavigelli , Lorenz K. Müller

We propose an image processing scheme based on reordering of its patches. For a given corrupted image, we extract all patches with overlaps, refer to these as coordinates in high-dimensional space, and order them such that they are chained…

Computer Vision and Pattern Recognition · Computer Science 2015-06-11 Idan Ram , Michael Elad , Israel Cohen

Message passing algorithms have been tailored for compressive imaging applications by plugging in different types of off-the-shelf image denoisers. These off-the-shelf denoisers mostly rely on some generic or hand-crafted priors for…

Image and Video Processing · Electrical Eng. & Systems 2025-12-16 Chang Cai , Xiaojun Yuan , Ying-Jun Angela Zhang

Acquired images for medical and other purposes can be affected by noise from both the equipment used in the capturing or the environment. This can have adverse effect on the information therein. Thus, the need to restore the image to its…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 E. G. Onyedinma , I. E. Onyenwe
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