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Optimal transport problems pose many challenges when considering their numerical treatment. We investigate the solution of a PDE-constrained optimisation problem subject to a particular transport equation arising from the modelling of image…

数值分析 · 数学 2018-01-15 Roland Herzog , John W. Pearson , Martin Stoll

Image denoising is a fundamental operation in image processing and holds considerable practical importance for various real-world applications. Arguably several thousands of papers are dedicated to image denoising. In the past decade,…

计算机视觉与模式识别 · 计算机科学 2016-09-22 Wensen Feng , Peng Qiao , Xuanyang Xi , Yunjin Chen

Filtering real-world color images is challenging due to the complexity of noise that can not be formulated as a certain distribution. However, the rapid development of camera lens pos- es greater demands on image denoising in terms of both…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Zhaoming Kong , Xiaowei Yang

This work proposes a learning-based statistical refinement method for improving the denoising results of a given denoiser without knowing the precise noise distribution or accessing clean images or calibration data. While there are many…

机器学习 · 计算机科学 2026-05-07 Rihuan Ke

Regularization by denoising (RED) is a widely-used framework for solving inverse problems by leveraging image denoisers as image priors. Recent work has reported the state-of-the-art performance of RED in a number of imaging applications…

图像与视频处理 · 电气工程与系统科学 2022-02-11 Yuyang Hu , Jiaming Liu , Xiaojian Xu , Ulugbek S. Kamilov

We present a new approach for nonlocal image denoising, based around the application of an unnormalized extended Gaussian ANOVA kernel within a bilevel optimization algorithm. A critical bottleneck when solving such problems for…

数值分析 · 数学 2025-05-14 Andrés Miniguano-Trujillo , John W. Pearson , Benjamin D. Goddard

Model-based optimization methods and discriminative learning methods have been the two dominant strategies for solving various inverse problems in low-level vision. Typically, those two kinds of methods have their respective merits and…

计算机视觉与模式识别 · 计算机科学 2017-04-12 Kai Zhang , Wangmeng Zuo , Shuhang Gu , Lei Zhang

Noisy images are a challenge to image compression algorithms due to the inherent difficulty of compressing noise. As noise cannot easily be discerned from image details, such as high-frequency signals, its presence leads to extra bits…

图像与视频处理 · 电气工程与系统科学 2024-02-09 Yuxin Xie , Li Yu , Farhad Pakdaman , Moncef Gabbouj

Noise is ubiquitous during image acquisition. Sufficient denoising is often an important first step for image processing. In recent decades, deep neural networks (DNNs) have been widely used for image denoising. Most DNN-based image…

计算机视觉与模式识别 · 计算机科学 2024-08-02 Chenyin Gao , Shu Yang , Anru R. Zhang

In this paper, we address the problem of denoising images degraded by Poisson noise. We propose a new patch-based approach based on best linear prediction to estimate the underlying clean image. A simplified prediction formula is derived…

计算机视觉与模式识别 · 计算机科学 2018-03-02 Milad Niknejad , Mario A. T. Figueiredo

Image denoising is a classical signal processing problem that has received significant interest within the image processing community during the past two decades. Most of the algorithms for image denoising has focused on the paradigm of…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Varuna De Silva

Existing denoising methods typically restore clear results by aggregating pixels from the noisy input. Instead of relying on hand-crafted aggregation schemes, we propose to explicitly learn this process with deep neural networks. We present…

计算机视觉与模式识别 · 计算机科学 2021-02-03 Xiangyu Xu , Muchen Li , Wenxiu Sun , Ming-Hsuan Yang

By their very nature microscopy images of cells and tissues consist of a limited number of object types or components. In contrast to most natural scenes, the composition is known a priori. Decomposing biological images into semantically…

计算机视觉与模式识别 · 计算机科学 2019-09-04 Avelino Javer , Jens Rittscher

With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by a camera may be degraded by noise. Thus, some processing of…

图像与视频处理 · 电气工程与系统科学 2024-07-18 Kelum Gajamannage

In decentralized optimization, several nodes connected by a network collaboratively minimize some objective function. For minimization of Lipschitz functions lower bounds are known along with optimal algorithms. We study a specific class of…

最优化与控制 · 数学 2023-03-15 Savelii Chezhegov , Alexander Rogozin , Alexander Gasnikov

Deep learning methods have shown remarkable performance in image denoising, particularly when trained on large-scale paired datasets. However, acquiring such paired datasets for real-world scenarios poses a significant challenge. Although…

图像与视频处理 · 电气工程与系统科学 2023-08-15 Xin Lin , Chao Ren , Xiao Liu , Jie Huang , Yinjie Lei

Prior probability models are a fundamental component of many image processing problems, but density estimation is notoriously difficult for high-dimensional signals such as photographic images. Deep neural networks have provided…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Zahra Kadkhodaie , Eero P. Simoncelli

Deep neural networks have been widely used in image denoising during the past few years. Even though they achieve great success on this problem, they are computationally inefficient which makes them inappropriate to be implemented in mobile…

图像与视频处理 · 电气工程与系统科学 2021-08-05 Lu Xu , Jiawei Zhang , Xuanye Cheng , Feng Zhang , Xing Wei , Jimmy Ren

Image denoising is still a challenging issue in many computer vision sub-domains. Recent studies show that significant improvements are made possible in a supervised setting. However, few challenges, such as spatial fidelity and…

计算机视觉与模式识别 · 计算机科学 2022-07-13 Masud An Nur Islam Fahim , Nazmus Saqib , Shafkat Khan Siam , Ho Yub Jung

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

图像与视频处理 · 电气工程与系统科学 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye