Image Enhancement Based on Fractional Differential and Image Entropy

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Abstract:

In this paper, a new image enhancement method is proposed based on fractional differential, which can select the differential order automatically by the difference of mutual information (DMI). DMI describes the increase of mutual information in original and enhancement image. Being a measure of ascertaining the ehancement effect, it is considered getting the information balance in the images processed by different differential order. According to it, a criterion of selection differential order is put forward. Image convolutions are implemented with fractional operator in different scales, and then DMI of adjacent scales are calculated. The differential order can be selected in which the DMI is the mininum. The experimental results indicate that the proposed method is effective, and has better result compared with other methods.

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232-235

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December 2010

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] Oldham K B, Spanier J: The fractional calculus. Academic Press, New York and London (1974).

Google Scholar

[2] Leu J S, Papamarcou A: On estimating the spectral exponent of fractional Brownian motion. IEEE Transactions on Information Theory, pp.233-244 (1995).

DOI: 10.1109/18.370105

Google Scholar

[3] Loverro A. in: Fractional calculus: history, definitons and applications for the engineer. www. nd. edu/msen/Teaaching/UnderRes/FracCalc. pdf.

Google Scholar

[4] Pu Y F, Yuan X, Liao K: Five numerical algorithms of fractional calculus applied in modern singal analyzing and processing. Journal of Sichuan University. Vol. 37(5), pp.118-124(2005).

Google Scholar

[5] Pu Y F, Wang W X, Zhou J L: Texture Details Detection of digital image by Fractional Differential and the Implementation of Fractional Differential Filter. SCIENCE IN CHINA: E. 38(12): pp.2252-2272 (2008).

Google Scholar