Total Variation Based Image Cartoon-Texture Decomposition.

机译：基于总变差的图像卡通纹理分解。

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This paper studies algorithms for decomposing a real image into the sum of cartoon and texture based on total variation minimization and second- order cone programming (SOCP). The cartoon is represented as a function of bounded variation while texture (and noise) is represented by elements in the space of oscillating functions, as proposed by Yves Meyer. Our approach gives more accurate results than those obtained previously by Vese-Osher's approximation to Meyer's model, which we also formulate and solve as an SOCP. The model of minimizing total variation with an L1-norm fidelity term is also considered and empirically shown to achieve even better results when there is no noise. This model is analyzed and shown to be able to select features of an image according to their scales.

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Yin, W.; Goldfarb, D.; Osher, S.;
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年度 2005
页码 1-26
总页数 26
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Mathematical programming; Image dissection; Algorithms; Theorems; Inverse problems; Photographic texture; Banach space; Optimization; Socp(Second order cone programming); Total variation minimization; Image denoising; Rof(Rudin osher fatima) model; Meyer's model; Convex programming;

机译：数学规划;图像解剖;算法;定理;反问题;摄影纹理; Banach空间;优化; socp（二阶锥规划）;全变差最小化;图像去噪; Rof（Rudin osher fatima）模型; meyer模型;凸规划;

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1. Speckle reduction and cartoon-texture decomposition of ophthalmic optical coherence tomography images by variational image decomposition [J] . Ren Hongwei, Qin Lei, Zhu Xinjun Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2016,第19期

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2. Enhancement of radiography images by two algorithms based on a cartoon-texture decomposition [J] . Shaygan-Fard Pouyan, Yahaghi Effat, Mirzapour Mandi, Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2019,第6期

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3. Multi-focus image fusion based on cartoon-texture image decomposition [J] . Zhang Yongxin, Chen Li, Zhao Zhihua, Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2016,第3期

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4. Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized L~1 Functional [C] . Wotao Yin, Donald Goldfarb, Stanley Osher International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision(VLSM 2005); 20051016; Beijing(CN) . 2005

机译：利用总变化正则化L〜1函数进行图像卡通纹理分解和特征选择
5. Speckle Image Denoising Methods Based on Total Variation and Non-local Means [D] . Jones, Chartese D. 2020

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7. Image cartoon-texture decomposition and feature selection using the total variation regularized L 1 functional [O] . Wotao Yin, Donald Goldfarb, Stanley Osher 2006

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8. Some Variations on Total Variation-Based Image Smoothing [R] . Chambolle, A., Levine, S. E., Lucier, B. J. 2009

机译：基于全变差的图像平滑的一些变化

Total Variation Based Image Cartoon-Texture Decomposition.

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