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


  • Qiang Yu Queensland University of Technology
  • Fawang Liu Queensland University of Technology
  • Ian Turner Queensland University of Technology
  • Kevin Burrage University of Oxford
  • Viktor Vegh University of Queensland



Fractional calculus, texture enhancement, image processing


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. References
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