An Improved Fractional Differential Algorithm and Noise Immunity Analysis

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Abstract:

Texture and edge information are equally important to identification of most of natural images. To the problem of the existing integer order differential operators can’t extract texture information form the images, this study developed a fractional differential algorithm, which can extract texture and marginal information simultaneously, based on settlement of the drift problem of fractional differential operator. Experimental results showed that our algorithm can not only extract texture information but also extract more edge information than the traditional algorithms. And to the image with Gauss noise, our algorithm also have noise immunity.

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710-714

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Engheia N. On the role of fractional calculus in electromagnetic theory[J]. Antennas and Propagation Magazine, IEEE Transactions, 39(4): 35–46. (1997).

DOI: 10.1109/74.632994

Google Scholar

[2] Kenneth S. Miller. Derivative of Noninteger Order[J]. Mathematics Magazine, 168(3): 183-192. (1995).

Google Scholar

[3] Zhiqiang Zhou. Existence and uniqueness for a nonlinear fractional volterra integro Differential Equation[J]. Journal of huaihua university, 26(8): 1-4. (2007).

Google Scholar

[4] C. Capus,K. Brown. Fracional fourier transform of the Gauss and fractional domain signal support[J]. Image Signal Process (12): 99-106. (2002).

DOI: 10.1049/ip-vis:20030313

Google Scholar

[5] Tenreiro Machado J A, Isabel S. Jesus, Alexandra Galhano, Boaventura Cunha J. Fractional order electromagnetics[J]. Signal Processing, 86(10): 2637-2644. (2006).

DOI: 10.1016/j.sigpro.2006.02.010

Google Scholar

[6] Yifei Pu, Weixing Wang, Jiliu Zhou, Wang Yiyang, Jia Huading. Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation[C]. Science in China Series F: Information Sciences, 51(9): 1319-1339. (2008).

DOI: 10.1007/s11432-008-0098-x

Google Scholar

[7] Yiyang Wang, Yifei Pu, Jiliu Zhou. 1/2 Order fractional differential tree type circuit of digital image[J]. Congress on Image and Signal Processing. (2008).

DOI: 10.1109/cisp.2008.574

Google Scholar

[8] Li, YL. Fractional-order Differentiation of the Gaussian Function for Processing Overlapped Peaks[J].  Analytical Sciences, 25(11): 1339-1344. (2009).

DOI: 10.2116/analsci.25.1339

Google Scholar

[9] Yuan-lu Li; Sheng-lin Yu. Gang Zheng. Fractional-order differentiation filter and estimation of Gaussian distribution parameters[J]. Information and Control, 35(5): 551-554. (2006).

Google Scholar

[10] Mingliang, Hou; Yuran Liu; Qi, Wang. An image information extraction algorithm for salt and pepper noise on fractional differentials[C].  Advanced Materials Research, 179: 1011-1015. (2011).

DOI: 10.4028/www.scientific.net/amr.179-180.1011

Google Scholar