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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9739201, 8 pages
Research Article

Incident Light Frequency-Based Image Defogging Algorithm

School of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Correspondence should be addressed to Wenbo Zhang; moc.361@toorts and Xiaorong Hou; nc.ude.ctseu@rxuoh

Received 12 December 2016; Revised 29 March 2017; Accepted 2 April 2017; Published 10 April 2017

Academic Editor: Jean Jacques Loiseau

Copyright © 2017 Wenbo Zhang and Xiaorong Hou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


To solve the color distortion problem produced by the dark channel prior algorithm, an improved method for calculating transmittance of all channels, respectively, was proposed in this paper. Based on the Beer-Lambert Law, the influence between the frequency of the incident light and the transmittance was analyzed, and the ratios between each channel’s transmittance were derived. Then, in order to increase efficiency, the input image was resized to a smaller size before acquiring the refined transmittance which will be resized to the same size of original image. Finally, all the transmittances were obtained with the help of the proportion between each color channel, and then they were used to restore the defogging image. Experiments suggest that the improved algorithm can produce a much more natural result image in comparison with original algorithm, which means the problem of high color saturation was eliminated. What is more, the improved algorithm speeds up by four to nine times compared to the original algorithm.