Abstract
In order to improve the image enhancement quality and to reduce the processing time, a novel fuzzy entropy definition for image self-adaptive enhancement is proposed based on the exponential behavior of information-gain and a fuzzy domain partition method M. The proposed fuzzy entropy definition can avoid the defect of logarithmic one and makes the definition much reasonable and makes the physical meaning of the definition much evident due to exponential definition. And the partition method M enables the optimal enhancement for different images. The self-adaptive fuzzy parameters are gotten by enumeration method and classic genetic algorithm (GA) based on maximum entropy principle respectively. The experiment results show that processing time based on the new entropy definition is cut down a little on condition that the image enhancement quality is better or unchanged compared to that based on the existed entropy definition. And parameters optimization of GA costs less time than that of enumeration method for the simple optimization problem which the fuzzy domain partition method M is given for different images. The automatic acquisition of the partition method M is the next research.
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References
Li, H., Yang, H.S.: Fast and reliable image enhancement using fuzzy relaxation technique. IEEE Transactions on Systems, Man and Cybernetics 19(5), 1276–1281 (1989), doi:10.1109/21.44048
Yu, H.: Research on Image Enhancement Algorithms Based on Fuzzy Set Theory. Master Thesis of Xi’an Universtiy of Scicence and Technology (2005)
Pal, S.K., King, R.A.: Image Enhancement Using Smoothing with Fuzzy Sets. IEEE Transactions on Systems, Man and Cybernetics 11(7), 494–501 (1981), doi:10.1109/TSMC.1981.4308726
Cheng, H.D., Chen, Y.-H., Sun, Y.: A Novel Fuzzy Entropy Approach to Image Enhancement and Thresholding. Signal Processing 75(3), 277–301 (1999)
Pal, N.R., Pal, S.K.: Object-background segmentation using new definitions of entropy. IEEE Proceedings Computers and Digital Techniques 136(4), 284–295 (1989)
Wang, Y., Wu, G., Zhao, Y., Hu, J.: Image Enhancement Based on Fuzzy Entropy and Genetic Algorithm and Its Application to Agriculture 34(3), 96–98 (2003)
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© 2012 Springer-Verlag Berlin Heidelberg
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Yu, H. (2012). A Novel Fuzzy Entropy Definition and Its Application in Image Enhancement. In: Zeng, D. (eds) Advances in Control and Communication. Lecture Notes in Electrical Engineering, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-26007-0_2
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DOI: https://doi.org/10.1007/978-3-642-26007-0_2
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