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相关论文: Space-variant TV regularization for image restorat…

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Recently, total variation (TV) based minimization algorithms have achieved great success in compressive sensing (CS) recovery for natural images due to its virtue of preserving edges. However, the use of TV is not able to recover the fine…

计算机视觉与模式识别 · 计算机科学 2012-12-27 Jian Zhang , Shaohui Liu , Debin Zhao , Ruiqin Xiong , Siwei Ma

In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

最优化与控制 · 数学 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

Hyperspectral image (HSI) denoising aims to restore clean HSI from the noise-contaminated one. Noise contamination can often be caused during data acquisition and conversion. In this paper, we propose a novel spatial-spectral total…

图像与视频处理 · 电气工程与系统科学 2021-04-07 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

Total variation (TV) regularization has proven effective for a range of computer vision tasks through its preferential weighting of sharp image edges. Existing TV-based methods, however, often suffer from the over-smoothing issue and…

计算机视觉与模式识别 · 计算机科学 2018-12-26 Dong Gong , Mingkui Tan , Qinfeng Shi , Anton van den Hengel , Yanning Zhang

We show how total variation regularization of images in arbitrary dimensions can be approximately performed by applying appropriate shrinkage to some Haar wavelets coefficients. The approach works directly on the wavelet coefficients and is…

数值分析 · 数学 2024-11-04 Tomas Sauer , A. Michael Stock

Multiplicative noise models occur in the study of several coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. This type of noise is also commonly referred to as speckle. Multiplicative…

最优化与控制 · 数学 2009-03-25 Jose M. Bioucas-Dias , Mario A. T. Figueiredo

While medical imaging typically provides massive amounts of data, the extraction of relevant information for predictive diagnosis remains a difficult challenge. Functional MRI (fMRI) data, that provide an indirect measure of task-related or…

计算机视觉与模式识别 · 计算机科学 2011-02-22 Vincent Michel , Alexandre Gramfort , Gaël Varoquaux , Evelyn Eger , Bertrand Thirion

We propose a new type of regularization functional for images called oscillation total generalized variation (TGV) which can represent structured textures with oscillatory character in a specified direction and scale. The infimal…

数值分析 · 数学 2018-09-17 Yiming Gao , Kristian Bredies

We propose a new fast algorithm for solving one of the standard formulations of image restoration and reconstruction which consists of an unconstrained optimization problem where the objective includes an $\ell_2$ data-fidelity term and a…

最优化与控制 · 数学 2015-05-14 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

The 3-D total variation (3DTV) is a powerful regularization term, which encodes the local smoothness prior structure underlying a hyper-spectral image (HSI), for general HSI processing tasks. This term is calculated by assuming identical…

计算机视觉与模式识别 · 计算机科学 2018-09-19 Jiangjun Peng , Qi Xie , Qian Zhao , Yao Wang , Deyu Meng , Yee Leung

Travel-time tomography forces a trade-off between mesh resolution and stability in which the regularizer choice dominates what can be recovered. We introduce MIMIR, a differentiable framework that represents the 2D velocity field as a…

地球物理 · 物理学 2026-05-12 Isao Kurosawa

Total variation (TV) denoising is a nonparametric smoothing method that has good properties for preserving sharp edges and contours in objects with spatial structures like natural images. The estimate is sparse in the sense that TV…

统计方法学 · 统计学 2016-05-06 Sylvain Sardy , Hatef Monajemi

Poisson noise commonly occurs in images captured by photon-limited imaging systems such as in astronomy and medicine. As the distribution of Poisson noise depends on the pixel intensity value, noise levels vary from pixels to pixels. Hence,…

图像与视频处理 · 电气工程与系统科学 2023-07-04 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

A common strategy in variational image recovery is utilizing the nonlocal self-similarity (NSS) property, when designing energy functionals. One such contribution is nonlocal structure tensor total variation (NLSTV), which lies at the core…

图像与视频处理 · 电气工程与系统科学 2024-11-12 Ezgi Demircan-Tureyen , Mustafa E. Kamasak

Over the last decades, the total variation (TV) evolved to one of the most broadly-used regularisation functionals for inverse problems, in particular for imaging applications. When first introduced as a regulariser, higher-order…

最优化与控制 · 数学 2020-12-30 Kristian Bredies , Martin Holler

Regularized optimization has been a classical approach to solving imaging inverse problems, where the regularization term enforces desirable properties of the unknown image. Recently, the integration of flow matching generative models into…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Ji Li , Chao Wang

Hyperspectral images (HSIs) are often corrupted by a mixture of several types of noise during the acquisition process, e.g., Gaussian noise, impulse noise, dead lines, stripes, and many others. Such complex noise could degrade the quality…

计算机视觉与模式识别 · 计算机科学 2017-07-11 Yao Wang , Jiangjun Peng , Qian Zhao , Deyu Meng , Yee Leung , Xi-Le Zhao

The use of ray projections to reconstruct images is a common technique in medical imaging. Dealing with incomplete data is particularly important when a patient is vulnerable to potentially damaging radiation or is unable to cope with the…

神经与进化计算 · 计算机科学 2024-06-04 Mohammad Majid al-Rifaie , Tim Blackwell

In this paper, we consider the use of Total Variation (TV) minimization for compressive imaging; that is, image reconstruction from subsampled measurements. Focusing on two important imaging modalities -- namely, Fourier imaging and…

信息论 · 计算机科学 2020-09-21 Ben Adcock , Nick Dexter , Qinghong Xu

We consider a bilevel optimisation strategy based on normalised residual whiteness loss for estimating the weighted total variation parameter maps for denoising images corrupted by additive white Gaussian noise. Compared to supervised and…

最优化与控制 · 数学 2025-03-12 Monica Pragliola , Luca Calatroni , Alessandro Lanza