The use of a Riesz fractional differential-based approach for texture enhancement in image processing

Yu, Q., Liu, F., Turner, I., Burrage, K., & Vegh, V. (2013) The use of a Riesz fractional differential-based approach for texture enhancement in image processing. The ANZIAM Journal, 54(supple), p. 1.

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Abstract

Texture enhancement is an important component of image processing that finds extensive application in science and engineering. The quality of medical images, quantified using the imaging texture, plays a significant role in the routine diagnosis performed by medical practitioners. Most image texture enhancement is performed using classical integral order differential mask operators. Recently, first order fractional differential operators were used to enhance images. Experimentation with these methods led to the conclusion that fractional differential operators not only maintain the low frequency contour features in the smooth areas of the image, but they also nonlinearly enhance edges and textures corresponding to high frequency image components. However, whilst these methods perform well in particular cases, they are not routinely useful across all applications. To this end, we apply the second order Riesz fractional differential operator to improve upon existing approaches of texture enhancement. Compared with the classical integral order differential mask operators and other first order fractional differential operators, we find that our new algorithms provide higher signal to noise values and superior image quality.

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3 citations in Scopus
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ID Code: 79804
Item Type: Journal Article
Refereed: Yes
Keywords: Fractional calculus; texture enhancement; image processing
ISSN: 1446-8735
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > OTHER MATHEMATICAL SCIENCES (019900)
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 06 Jan 2015 02:37
Last Modified: 21 Apr 2015 02:03

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