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Compressed sensing (CS) methods in magnetic resonance imaging (MRI) offer rapid acquisition and improved image quality but require iterative reconstruction schemes with regularization to enforce sparsity. Regardless of the difficulty in…

计算机视觉与模式识别 · 计算机科学 2018-09-19 Raji Susan Mathew , Joseph Suresh Paul

The details of an image with noise may be restored by removing noise through a suitable image de-noising method. In this research, a new method of image de-noising based on using median filter (MF) in the wavelet domain is proposed and…

多媒体 · 计算机科学 2017-03-21 Afrah Ramadhan , Firas Mahmood , Atilla Elci

Discrete gradient methods are well-known methods of Geometric Numerical Integration, which preserve the dissipation of gradient systems. The preservation of the dissipation of a system is an important feature in numerous image processing…

数值分析 · 数学 2016-03-25 V Grimm , R I McLachlan , D McLaren , G R W Quispel , C-B Schönlieb

This paper focuses on the development of a space-variant regularization model for solving an under-determined linear inverse problem. The case study is a medical image reconstruction from few-view tomographic noisy data. The primary…

图像与视频处理 · 电气工程与系统科学 2024-04-29 Elena Morotti , Davide Evangelista , Andrea Sebastiani , Elena Loli Piccolomini

Noise is a major issue while transferring images through all kinds of electronic communication. One of the most common noise in electronic communication is an impulse noise which is caused by unstable voltage. In this paper, the comparison…

计算机视觉与模式识别 · 计算机科学 2014-10-09 Suman Shrestha

We proposed a real time Total-Variation denosing method with an automatic choice of hyper-parameter $\lambda$, and the good performance of this method provides a large application field. In this article, we adapt the developed method to the…

信号处理 · 电气工程与系统科学 2021-01-29 Zhanhao Liu , Marion Perrodin , Thomas Chambrion , Radu Stoica

Even after over two decades, the total variation (TV) remains one of the most popular regularizations for image processing problems and has sparked a tremendous amount of research, particularly to move from scalar to vector-valued…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Joan Duran , Michael Moeller , Catalina Sbert , Daniel Cremers

Total variation (TV) regularization is a popular reconstruction method for ill-posed imaging problems, and particularly useful for applications with piecewise constant targets. However, using TV for medical cone-beam computed X-ray…

医学物理 · 物理学 2024-12-11 Alexander Meaney , Mikael A. K. Brix , Miika T. Nieminen , Samuli Siltanen

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models concentrate on image restoration from blurry and noisy…

最优化与控制 · 数学 2010-01-13 Yunhai Xiao , Junfeng Yang

Previous work showed that total variation superiorization (TVS) improves reconstructed image quality in proton computed tomography (pCT). The structure of the TVS algorithm has evolved since then and this work investigated if this new…

医学物理 · 物理学 2019-01-18 Blake Schultze , Yair Censor , Paniz Karbasi , Keith E. Schubert , Reinhard W. Schulte

In this paper, we consider a backward problem for a time-space fractional diffusion process. For this problem, we propose to construct the initial data by minimizing data residual error in fourier space domain and variable total variation…

数值分析 · 数学 2016-05-24 Junxiong Jia , Jigen Peng , Jinghuai Gao , Yujiao Li

We consider the image denoising problem using total variation (TV) regularization. This problem can be computationally challenging to solve due to the non-differentiability and non-linearity of the regularization term. We propose an…

最优化与控制 · 数学 2014-08-26 Zhiwei Qin , Donald Goldfarb , Shiqian Ma

Sampling high-dimensional images is challenging due to limited availability of sensors; scanning is usually necessary in these cases. To mitigate this challenge, snapshot compressive imaging (SCI) was proposed to capture the…

图像与视频处理 · 电气工程与系统科学 2020-05-19 Xin Yuan

Numerous total variation (TV) regularizers, engaged in image restoration problem, encode the gradients by means of simple $[-1,1]$ FIR filter. Despite its low computational processing, this filter severely deviates signal's high frequency…

最优化与控制 · 数学 2015-06-17 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Image restoration requires a careful balance between noise suppression and structure preservation. While first-order total variation (TV) regularization effectively preserves edges, it often introduces staircase artifacts, whereas…

数值分析 · 数学 2025-11-13 Liang Luo , Lei Zhang

During the last decades, denoising methods have attracted much attention of researchers. The conventional method for removing the Moire' pattern from images is using notch filters in the Frequency-domain. In this paper a new method is…

计算机视觉与模式识别 · 计算机科学 2017-02-01 Seyede Mahya Hazavei , Hamid Reza Shahdoosti

A time-varying microwave photonic filter (TV-MPF) based on stimulated Brillouin scattering (SBS) is proposed and utilized to suppress the in-band noise of broadband arbitrary microwave waveforms, thereby improving the signal-to-noise ratio…

信号处理 · 电气工程与系统科学 2022-05-04 Dong Ma , Yang Chen

In this paper, the traditional model based variational method and learning based algorithms are naturally integrated to address mixed noise removal problem. To be different from single type noise (e.g. Gaussian) removal, it is a challenge…

计算机视觉与模式识别 · 计算机科学 2018-05-22 Faqiang Wang , Haiyang Huang , Jun Liu

Characterizing the phase transitions of convex optimizations in recovering structured signals or data is of central importance in compressed sensing, machine learning and statistics. The phase transitions of many convex optimization signal…

信息论 · 计算机科学 2015-09-16 Bingwen Zhang , Weiyu Xu , Jian-Feng Cai , Lifeng Lai

Total variation (TV) is a widely used function for regularizing imaging inverse problems that is particularly appropriate for images whose underlying structure is piecewise constant. TV regularized optimization problems are typically solved…

图像与视频处理 · 电气工程与系统科学 2025-08-26 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov