Circuits, Systems, and Signal Processing

, Volume 37, Issue 9, pp 3946–3972 | Cite as

Image Edge Detection Using Fractional Calculus with Feature and Contrast Enhancement

  • Amita NandalEmail author
  • Hamurabi Gamboa-Rosales
  • Arvind Dhaka
  • Jose M. Celaya-Padilla
  • Jorge Issac Galvan-Tejada
  • Carlos Eric Galvan-Tejada
  • Francisco Javier Martinez-Ruiz
  • Cesar Guzman-Valdivia


Edge detection is an important aspect of image processing to improve image edge quality. In the literature, there exist various edge detection techniques in spatial and frequency domains that use integer-order differentiation operators. In this paper, we have implemented feature and contrast enhancement of image using Riemann–Liouville fractional differential operator. Based on the direction of strong edge, we have evaluated edge components and carried out a performance analysis based on several well-known metrics. We have also improved the pixel contrast based on foreground and background gray level. Moreover, by theoretical and experimental results, it is observed that the proposed feature and contrast enhancement outperforms the existing methods under comparison. We have discussed that the edge components calculated using fractional derivative can be used for texture and contrast enhancement. This paper is based on fractional-order differentiation operation to detect edges with the help of the directional edge components across eight directions. The experimental comparison results are shown in tabular form and as qualitative texture results. The six experimental input images are used to analyze various performance metrics. The experiments show that for any grayscale image the proposed method outperforms classical edge detection operators.


Corner detection Contrast enhancement Directional component Differential operators Edge component Edge detection Gaussian noise Integer-order derivative Shrinking factor 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Amita Nandal
    • 1
    Email author
  • Hamurabi Gamboa-Rosales
    • 2
  • Arvind Dhaka
    • 3
  • Jose M. Celaya-Padilla
    • 4
  • Jorge Issac Galvan-Tejada
    • 2
  • Carlos Eric Galvan-Tejada
    • 2
  • Francisco Javier Martinez-Ruiz
    • 2
  • Cesar Guzman-Valdivia
    • 4
  1. 1.University of Information Science and TechnologyOhridMacedonia
  2. 2.Faculty of Electrical EngineeringAutonomous University of ZacatecasZacatecasMexico
  3. 3.National Institute of Technology, HamirpurHamirpurIndia
  4. 4.CONACYT FacultyAutonomous University of ZacatecasZacatecasMexico

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