Volume 7, Issue 1
A Multi-Exposure Variational Method for Retinex

Xue Yang & Yu-Mei Huang

East Asian J. Appl. Math., 7 (2017), pp. 156-171.

Published online: 2018-02

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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

Retinex, reflectance, illumination, multi-exposure images, alternating minimization algorithm.

  • AMS Subject Headings

65K10, 68U10, 91-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-156, author = {}, title = {A Multi-Exposure Variational Method for Retinex}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {1}, pages = {156--171}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.310816.161216a}, url = {http://global-sci.org/intro/article_detail/eajam/10741.html} }
TY - JOUR T1 - A Multi-Exposure Variational Method for Retinex JO - East Asian Journal on Applied Mathematics VL - 1 SP - 156 EP - 171 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.310816.161216a UR - https://global-sci.org/intro/article_detail/eajam/10741.html KW - Retinex, reflectance, illumination, multi-exposure images, alternating minimization algorithm. AB -

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.

Xue Yang & Yu-Mei Huang. (2020). A Multi-Exposure Variational Method for Retinex. East Asian Journal on Applied Mathematics. 7 (1). 156-171. doi:10.4208/eajam.310816.161216a
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