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This paper concerns a class of composite image reconstruction models for impluse noise removal, which is rather general and covers existing convex and nonconvex models proposed for reconstructing images with impluse noise. For this…

最优化与控制 · 数学 2024-03-27 Bujin Li , Shaohua Pan , Tieyong Zeng

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

计算机视觉与模式识别 · 计算机科学 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Remotely sensed images may contain some missing areas because of poor weather conditions and sensor failure. Information of those areas may play an important role in the interpretation of multitemporal remotely sensed data. The paper aims…

信号处理 · 电气工程与系统科学 2018-07-04 Teng-Yu Ji , Naoto Yokoya , Xiao Xiang Zhu , Ting-Zhu Huang

The problem of restoring images corrupted by Poisson noise is common in many application fields and, because of its intrinsic ill posedness, it requires regularization techniques for its solution. The effectiveness of such techniques…

数值分析 · 数学 2021-04-30 Daniela di Serafino , Germana Landi , Marco Viola

Magnetic Resonance Imaging (MRI) is one of the fields that the compressed sensing theory is well utilized to reduce the scan time significantly leading to faster imaging or higher resolution images. It has been shown that a small fraction…

信息论 · 计算机科学 2014-06-03 Cagdas Bilen , Yao Wang , Ivan Selesnick

The Multiscale Hierarchical Decomposition Method (MHDM) was introduced as an iterative method for total variation regularization, with the aim of recovering details at various scales from images corrupted by additive or multiplicative…

数值分析 · 数学 2023-09-28 Stefan Kindermann , Elena Resmerita , Tobias Wolf

We propose a randomized version of the non-local means (NLM) algorithm for large-scale image filtering. The new algorithm, called Monte Carlo non-local means (MCNLM), speeds up the classical NLM by computing a small subset of image patch…

计算机视觉与模式识别 · 计算机科学 2015-06-18 Stanley H. Chan , Todd Zickler , Yue M. Lu

Most existing image denoising algorithms can only deal with a single type of noise, which violates the fact that the noisy observed images in practice are often suffered from more than one type of noise during the process of acquisition and…

多媒体 · 计算机科学 2016-11-18 Jian Zhang , Ruiqin Xiong , Chen Zhao , Siwei Ma , Debin Zhao

This paper describes a novel theoretical characterization of the performance of non-local means (NLM) for noise removal. NLM has proven effective in a variety of empirical studies, but little is understood fundamentally about how it…

统计理论 · 数学 2012-04-27 Ery Arias-Castro , Joseph Salmon , Rebecca Willett

Much research has been devoted to the problem of restoring Poissonian images, namely for medical and astronomical applications. However, the restoration of these images using state-of-the-art regularizers (such as those based on multiscale…

最优化与控制 · 数学 2012-10-10 Mário A. T. Figueiredo , José M. Bioucas-Dias

Tomographic SAR (TomoSAR) inversion of urban areas is an inherently sparse reconstruction problem and, hence, can be solved using compressive sensing (CS) algorithms. This paper proposes solutions for two notorious problems in this field:…

计算机视觉与模式识别 · 计算机科学 2019-05-22 Yilei Shi , Xiao Xiang Zhu , Richard Bamler

Unsupervised feature selection has drawn wide attention in the era of big data since it is a primary technique for dimensionality reduction. However, many existing unsupervised feature selection models and solution methods were presented…

最优化与控制 · 数学 2024-03-26 Yan Li , Defeng Sun , Liping Zhang

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…

计算机视觉与模式识别 · 计算机科学 2019-01-21 Unni V. S. , Sanjay Ghosh , Kunal N. Chaudhury

In this paper we present a new regularization term for variational image restoration which can be regarded as a space-variant anisotropic extension of the classical isotropic Total Variation (TV) regularizer. The proposed regularizer comes…

图像与视频处理 · 电气工程与系统科学 2019-08-05 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

Consider the problem of reconstructing a multidimensional signal from an underdetermined set of measurements, as in the setting of compressed sensing. Without any additional assumptions, this problem is ill-posed. However, for signals such…

数值分析 · 数学 2015-06-11 Deanna Needell , Rachel Ward

In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction quality, and compare it with the total variation…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Harbir Antil , Zichao Di , Ratna Khatri

Tensor low-rank representation (TLRR) has demonstrated significant success in image clustering. However, most existing methods rely on fixed transformations and suffer from poor robustness to noise. In this paper, we propose a novel…

计算机视觉与模式识别 · 计算机科学 2025-10-24 Hui Chen , Xinjie Wang , Xianchao Xiu , Wanquan Liu

This paper is concerned with the analysis of convergent sequential and parallel overlapping domain decomposition methods for the minimization of functionals formed by a discrepancy term with respect to data and a total variation constraint.…

数值分析 · 数学 2009-05-15 Massimo Fornasier , Andreas Langer , Carola-Bibiane Schönlieb

Diverse inverse problems in imaging can be cast as variational problems composed of a task-specific data fidelity term and a regularization term. In this paper, we propose a novel learnable general-purpose regularizer exploiting recent…

最优化与控制 · 数学 2020-02-19 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

The joint problem of reconstruction / feature extraction is a challenging task in image processing. It consists in performing, in a joint manner, the restoration of an image and the extraction of its features. In this work, we firstly…

计算机视觉与模式识别 · 计算机科学 2024-03-06 Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Gabriele Scrivanti