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A Multi-Exposure Variational Method for Retinex

Part of: Game theory, economics, social and behavioral sciences

Published online by Cambridge University Press:  31 January 2017

Xue Yang  and
Yu-Mei Huang
Xue Yang*
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu Province, P.R. China
Yu-Mei Huang*
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu Province, P.R. China
*
*Corresponding author. Email addresses:[email protected] (X. Yang), [email protected] (Y.-M. Huang)
*Corresponding author. Email addresses:[email protected] (X. Yang), [email protected] (Y.-M. Huang)
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Abstract

Retinex theory explains how the human visual system perceives colors. The goal of retinex is to decompose the reflectance and the illumination from the given images and thereby compensating for non-uniform lighting. The existing methods for retinex usually use a single image with a fixed exposure to restore the reflectance of the image. In this paper, we propose a variational model for retinex problem by utilizing multi-exposure images of a given scene. The existence and uniqueness of the solutions of the proposed model have been elaborated. An alternating minimization method is constructed to solve the proposed model and its convergence is also demonstrated. The experimental results show that the proposed method is effective for reflectance recovery in retinex problem.

Keywords

Retinexreflectanceilluminationmulti-exposure imagesalternating minimization algorithm

MSC classification

Secondary: 65K10: Optimization and variational techniques 68U10: Image processing 91-08: Computational methods
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 7 , Issue 1 , February 2017 , pp. 156 - 171
Copyright
Copyright © Global-Science Press 2017 

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