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Texture Enhancement Based on the Savitzky-Golay Fractional Differential Operator

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  • Hamid A. Jalab
  • Rabha W. Ibrahim

Abstract

Texture enhancement for digital images is the most important technique in image processing. The purpose of this paper is to design a texture enhancement technique using fractional order Savitzky-Golay differentiator, which leads to generalizing the Savitzky-Golay filter in the sense of the Srivastava-Owa fractional operators. By employing this generalized fractional filter, texture enhancement is introduced. Consequently, it calculates the generalized fractional order derivative of the given image using the sliding weight window over the image. Experimental results show that the operator can extract more subtle information and make the edges more prominent. In general, the capability of the generalized fractional differential will be high because it is sensitive to the subtle fluctuations of values of pixels.

Suggested Citation

  • Hamid A. Jalab & Rabha W. Ibrahim, 2013. "Texture Enhancement Based on the Savitzky-Golay Fractional Differential Operator," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, February.
    • Handle: RePEc:hin:jnlmpe:149289
    DOI: 10.1155/2013/149289
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