An Image Information Extraction Algorithm for Salt and Pepper Noise on Fractional Differentials

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Abstract:

An image information extraction algorithm on fractional differentials is put forward in this paper that is based on the characteristics of fractional differential in signal processing. This paper has extracted the information of salt and pepper noise images with various coefficients, and analyzed and compared it with the information extraction results of classic integer-order operators as Prewitt, Roberts and Sobel. Experiments have shown that not only the high-frequency marginal information can be extracted by extracting information with fractional differentials, just as it is extracted with integer-order operators, but the texture information can also be extracted from the smooth region. Besides, this algorithm is featured with great noise immunity against salt and pepper noises.

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Advanced Materials Research (Volumes 179-180)

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1011-1015

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January 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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

Google Scholar

[2] 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

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

DOI: 10.1049/ip-vis:20030313

Google Scholar

[4] 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

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

Google Scholar

[6] Pu Yifei, Wang Weixing, Zhou Jiliu, 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] Wang Yiyang, Pu Yifei, Zhou Jiliu. 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] Zang Shun-quan, WANG Zhu-xia. Signal Detection Method Based on Fractional Fourier Transform[J]; Science Technology and Engineering, 3. (2010).

Google Scholar

[9] Zhou Meili, Bai, Zongwen, Liu Shengchun. Application of Multiple-Parameter Discrete Fractional Fourier Transform[J]; Electronic Science and Technology, 3. (2008).

Google Scholar

[10] Zhao Zhao, Shi Xiang-quan. A Moving Targets Detection Algorithm Based on Fractional Fourier Transform (FRFT)[J]; Telecommunication Engineering, 4. (2007).

Google Scholar