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The total variation (TV) regularization has phenomenally boosted various variational models for image processing tasks. We propose to combine the backward diffusion process in the earlier literature of image enhancement with the TV…

图像与视频处理 · 电气工程与系统科学 2023-06-14 Congpei An , Hao-Ning Wu , Xiaoming Yuan

Focus of this work is solving a non-smooth constraint minimization problem by a primal-dual splitting algorithm involving proximity operators. The problem is penalized by the Bregman divergence associated with the non-smooth total variation…

数值分析 · 数学 2020-02-25 Erdem Altuntac

Synthetic Aperture Radar (SAR) images are often contaminated by a multiplicative noise known as speckle. Speckle makes the processing and interpretation of SAR images difficult. We propose a deep learning-based approach called, Image…

计算机视觉与模式识别 · 计算机科学 2018-06-27 Puyang Wang , He Zhang , Vishal M. Patel

Block-sparse signal recovery without knowledge of block sizes and boundaries, such as those encountered in multi-antenna mmWave channel models, is a hard problem for compressed sensing (CS) algorithms. We propose a novel Sparse Bayesian…

信号处理 · 电气工程与系统科学 2021-02-17 Aditya Sant , Markus Leinonen , Bhaskar D. Rao

In this work, a gray level indicator based non-linear telegraph diffusion model is presented for multiplicative noise removal problem. Most of the researchers focus only on diffusion equation-based model for multiplicative noise removal…

数值分析 · 数学 2019-08-08 Sudeb Majee , Rajendra K Ray , Ananta K Majee

Encoding of spectral information onto monochrome imaging cameras is of interest for wavelength multiplexing and hyperspectral imaging applications. Here, the complex spatio-spectral response of a disordered material is used to demonstrate…

光学 · 物理学 2017-05-09 Rebecca French , Sylvain Gigan , Otto L. Muskens

Regularization plays a crucial role in reliably utilizing imaging systems for scientific and medical investigations. It helps to stabilize the process of computationally undoing any degradation caused by physical limitations of the imaging…

图像与视频处理 · 电气工程与系统科学 2021-05-26 Manu Ghulyani , Deepak G Skariah , Muthuvel Arigovindan

A novel approach is presented to recover an image degraded by atmospheric turbulence. Given a sequence of frames affected by turbulence, we construct a variational model to characterize the static image. The optimization problem is solved…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Yu Mao , Jerome Gilles

The motivation of this paper is to introduce a novel framework for the restoration of images corrupted by mixed Gaussian-impulse noise. To this aim, first, an adaptive curvelet thresholding criterion is proposed which tries to adaptively…

计算机视觉与模式识别 · 计算机科学 2015-12-29 Nasser Eslahi , Hami Mahdavinataj , Ali Aghagolzadeh

In this paper, we aim to reconstruct an n-dimensional real vector from m phaseless measurements corrupted by an additive noise. We extend the noiseless framework developed in [15], based on mirror descent (or Bregman gradient descent), to…

最优化与控制 · 数学 2024-06-21 Jean-Jacques Godeme , Jalal Fadili , Claude Amra , Myriam Zerrad

In this paper, we propose a vector total variation (VTV) of feature image model for image restoration. The VTV imposes different smoothing powers on different features (e.g. edges and cartoons) based on choosing various regularization…

计算机视觉与模式识别 · 计算机科学 2018-02-13 Wei Wang , Xiang-Gen Xia , Shengli Zhang , Chuanjiang He

Classical total variation (TV) based iterative reconstruction algorithms assume that the signal is piecewise smooth, which causes reconstruction results to suffer from the over-smoothing effect. To address this problem, this work presents a…

医学物理 · 物理学 2018-03-06 Peng Bao , Jiliu Zhou , Yi Zhang

We consider the problem of reconstructing 2D images from randomly under-sampled confocal microscopy samples. The well known and widely celebrated total variation regularization, which is the L1 norm of derivatives, turns out to be…

图像与视频处理 · 电气工程与系统科学 2019-09-04 Bibin Francis , Manoj Mathew , Muthuvel Arigovindan

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

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…

信号处理 · 电气工程与系统科学 2022-01-24 Gonzalo D. Maso Talou , Pablo J. Blanco

This paper presents a novel method for recovering sparse vectors from linear models corrupted by Poisson noise. The contribution is twofold. First, an operator defined via the external division of two Bregman proximity operators is…

机器学习 · 计算机科学 2026-02-13 Kazuki Haishima , Kyohei Suzuki , Konstantinos Slavakis

A fruitful approach for solving signal deconvolution problems consists of resorting to a frame-based convex variational formulation. In this context, parallel proximal algorithms and related alternating direction methods of multipliers have…

其他计算机科学 · 计算机科学 2015-05-28 Nelly Pustelnik , Jean-Christophe Pesquet , Caroline Chaux

This paper is concerned with a novel regularisation technique for solving linear ill-posed operator equations in Hilbert spaces from data that is corrupted by white noise. We combine convex penalty functionals with extreme-value statistics…

统计理论 · 数学 2012-04-03 Klaus Frick , Philipp Marnitz , Axel Munk

This paper focuses on solving the multiplicative gamma denoising problem via a variation model. Variation-based regularization models have been extensively employed in a variety of inverse problem tasks in image processing. However,…

计算机视觉与模式识别 · 计算机科学 2024-12-24 Shengkun Yang , Zhichang Guo , Jia Li , Fanghui Song , Wenjuan Yao

In this paper we consider variational regularization methods for inverse problems with large noise that is in general unbounded in the image space of the forward operator. We introduce a Banach space setting that allows to define a…

数值分析 · 数学 2018-02-09 Martin Burger , Tapio Helin , Hanne Kekkonen