Volume 6 Number 7 (Jul. 2011)
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JCP 2011 Vol.6(7): 1332-1338 ISSN: 1796-203X
doi: 10.4304/jcp.6.7.1332-1338

A Novel Image Denoising Algorithm Based on Riemann-Liouville Definition

Jinrong HU, Yifei Pu, Jiliu Zhou
College of Computer Science, Sichuan University, Chengdu, Sichuan, China
Abstract—In this paper, a novel image denoising algorithm named fractional integral image denoising algorithm (FIIDA) is proposed, which based on fractional calculus Riemann-Liouville definition. The structures of n*n fractional integral masks of this algorithm on the directions of 135 degrees, 90 degrees, 45 degrees, 0 degrees, 180 degrees, 315 degrees, 270 degrees and 225 degrees are constructed and discussed. The denoising performance of FIIDA is measured using experiments according to subjective and objective standards of visual perception and PSNR values. The simulation results show that the FIIDA’s performance is prior to the Gaussian smoothing filter, especially when the noise standard deviation is less than 30.

Index Terms—Fractional calculus, fractional integral, fractional integral mask, image denoising, Gaussian smoothing filter

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Cite: Jinrong HU, Yifei Pu, Jiliu Zhou , "A Novel Image Denoising Algorithm Based on Riemann-Liouville Definition," Journal of Computers vol. 6, no. 7, pp. 1332-1338, 2011.

General Information

ISSN: 1796-203X
Abbreviated Title: J.Comput.
Frequency: Bimonthly
Editor-in-Chief: Prof. Liansheng Tan
Executive Editor: Ms. Nina Lee
Abstracting/ Indexing: DBLP, EBSCO,  ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat,etc
E-mail: jcp@iap.org
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