A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization

Michael Bildhauer; Martin Fuchs

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A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization

机译：基于电视正则化不同变体的变分图像去噪方法

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摘要

We discuss several variants of the TV-regularization model used in image recovery. The proposed alternatives are either of nearly linear growth or even of linear growth, but with some weak ellipticity properties. The main feature of the paper is the investigation of the analytic properties of the corresponding solutions.

机译：我们讨论了在图像恢复中使用的电视正则化模型的几种变体。拟议的替代方案要么接近线性增长，要么甚至线性增长，但具有一些弱椭圆率特性。本文的主要特征是研究相应溶液的分析性质。

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《Applied mathematics and optimization》 |2012年第3期|共31页
作者
Michael Bildhauer; Martin Fuchs;
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正文语种 eng
中图分类最优化的数学理论;
关键词
Image recovery; Functions of bounded variation; Variational problems of linear growth; Variational problems of nearly linear growth; Regularity of solutions;

机译：图像恢复;有界变化函数;线性增长的变量问题;近似线性增长的变量问题;解的规则性;

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1. A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization [J] . Michael Bildhauer, Martin Fuchs Applied mathematics and optimization . 2012,第3期

机译：基于电视正则化不同变体的变分图像去噪方法
2. An image denoising iterative approach based on total variation and weighting function [J] . Cong Jin, Ningli Luan Multimedia Tools and Applications . 2020,第29a30期

机译：一种基于总变化和加权函数的图像去噪
3. An image denoising approach based on adaptive nonlocal total variation [J] . Jin Yan, Jiang Xiaoben, Jiang Wenyu Journal of visual communication & image representation . 2019,第Deca期

机译：基于自适应非局部总变化的图像去噪方法
4. A Blind Metric Based Variational Approach for Ultrasound Image Denoising [C] . Kshitij Susheel Jauhri, Ramesh Kumar Thakur, Suman Kumar Maji International Conference on Contemporary Computing and Applications . 2020

机译：基于盲度量变分的超声图像去噪方法
5. Speckle Image Denoising Methods Based on Total Variation and Non-local Means [D] . Jones, Chartese D. 2020

机译：基于总变化和非本地手段的斑点图像去噪方法
6. Total variation versus wavelet-based methods for image denoising in fluorescence lifetime imaging microscopy [O] . Ching-Wei Chang, Mary-Ann Mycek -1

机译：基于小波的图像去噪的总变化与荧光寿命显微镜显微镜显微镜的图像去噪
7. Total variation versus wavelet‐based methods for image denoising in fluorescence lifetime imaging microscopy [O] . Dietzek Benjamin, Cheng Ji‐xin 2012

机译：荧光寿命成像显微镜中基于小波的图像去噪方法的总变差

A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization

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