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A Convex Optimization Model and Algorithm for Retinex

机译：Retinex的凸优化模型和算法

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摘要

Retinex is a theory on simulating and explaining how human visual system perceives colors under different illumination conditions. The main contribution of this paper is to put forward a new convex optimization model for Retinex. Different from existing methods, the main idea is to rewrite a multiplicative form such that the illumination variable and the reflection variable are decoupled in spatial domain. The resulting objective function involves three terms including the Tikhonov regularization of the illumination component, the total variation regularization of the reciprocal of the reflection component, and the data-fitting term among the input image, the illumination component, and the reciprocal of the reflection component. We develop an alternating direction method of multipliers (ADMM) to solve the convex optimization model. Numerical experiments demonstrate the advantages of the proposed model which can decompose an image into the illumination and the reflection components.
机译：Retinex是一种模拟和解释人类视觉系统如何在不同照明条件下感知色彩的理论。本文的主要贡献是为Retinex提出了一个新的凸优化模型。与现有方法不同，主要思想是重写乘法形式，以使照明变量和反射变量在空间域中解耦。生成的目标函数涉及三个项，包括照明分量的Tikhonov正则化，反射分量的倒数的总变化正则化以及输入图像，照明分量和反射分量的倒数之间的数据拟合项。我们开发了乘数的交替方向方法（ADMM）以解决凸优化模型。数值实验证明了所提出模型的优点，该模型可以将图像分解为照明和反射分量。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第7期|4012767.1-4012767.14|共14页
  • 作者

    Zhao Qing-Nan; Huang Ting-Zhu; Zhao Xi-Le; Ma Tian-Hui; Cheng Ming-Hui;

  • 作者单位

    Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;

    Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;

    Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;

    Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;

    Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;

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