A Novel Color Edge Detection Technique Using Hilbert Transform

Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 199)


This paper presents a new technique for edge detection in color images, employing the concept of Hilbert transform. The color image at the input is initially transformed using a RGB color triangle, followed by the application of the proposed edge detection technique. Combination of bilateral filtering with Hilbert transform in the proposed technique makes it effective for edge detection in noisy environment. Computer simulations are performed on noise free as well as noisy images (corrupted with impulse noise), which portray marked improvement in edge detection in comparison to other techniques.


Bilateral filtering Edge detection Hilbert transform Pratt’s figure of merit (PFOM) RGB color space 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Ziou, D., Tabbone, S.: Edge Detection Techniques: An Overview. International Journal of Pattern Recognition and Image Analysis 8, 537–559 (1998)Google Scholar
  2. 2.
    Novak, C.L., Shafer, S.A.: Color Edge Detection. In: Proc. of the DARPA Image Understanding Workshop, vol. 1, pp. 35–37 (1987)Google Scholar
  3. 3.
    Sharifi, M., Fathy, M., Mahmoudi, M.T.: A Classified and Comparative Study of Edge Detection Algorithms. In: Proc. of the International Conference on Information Technology: Coding and Computing, pp. 117–220 (2002)Google Scholar
  4. 4.
    Marr, D., Hildreth, E.C.: Theory of Edge Detection. Proc. of Royal Society of London, Series B, Biological Sciences 207, 187–217 (1980)CrossRefGoogle Scholar
  5. 5.
    Canny, J.F.: A Computational Approach to Edge Detection. IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI-8(6), 679–698 (1986)CrossRefGoogle Scholar
  6. 6.
    Gudmundsson, M., et al.: Edge Detection in Medical Images Using a Genetic Algorithm. IEEE Transactions on Medical Imaging 17(3), 469–474 (1998)CrossRefGoogle Scholar
  7. 7.
    Zahurul, S., Zahidul, S.: An Adept Edge Detection Algorithm for Human Knee Osteoarthritis Images. In: Proc. of International Conference on Signal Acquisition and Processing, pp. 375–379. IEEE (2010)Google Scholar
  8. 8.
    Fengjing, Z., et al.: Color Image Edge Detection Arithmetic Based on Color Space. In: Proc. of the International Conference on Computer Science and Electronics Engineering, pp. 217–220. IEEE (2012)Google Scholar
  9. 9.
    Pei, S., et al.: The Generalized Radial Hilbert Transform and its Applications to 2-D Edge Detection (any direction or specified direction). In: Proc. of the International Conference on Acoustics, Speech and Signal Processing, pp. 357–360 (2003)Google Scholar
  10. 10.
    Golpayegani, N., et al.: A Novel Algorithm for Edge Enhancement based on Hilbert Matrix. In: Proc. of 2nd International Conference on Computer Engineering and Technology, vol. 1, pp. 579–581 (2010)Google Scholar
  11. 11.
    Livadas, G.L., Constantinides, A.G.: Image Edge Detection and Segmentation Based on the Hilbert transform. In: Proc. of the International Conference on Acoustics, Speech and Signal Processing, pp. 1152–1155 (1988)Google Scholar
  12. 12.
    Tomasi, C., Manduchi, R.: Bilateral Filtering for Gray and Color Images. In: Proc. of the IEEE International Conference on Computer Vision, Bombay, India, pp. 839–846 (1998)Google Scholar
  13. 13.
    Elad, M.: On the Origin of Bilateral Filter and Ways to Improve it. IEEE Transactions on Image Processing 11(10) (2002)Google Scholar
  14. 14.
    Pratt, W.K.: Digital Image Processing, 2nd edn. Jhon Wiley and Sons, New York (1991)MATHGoogle Scholar
  15. 15.
    Agaian, S.S., et al.: Boolean Derivatives with Application to Edge Detection for Imaging Systems. IEEE Transactions on Systems, Man and Cybernetics- Part B: Cybernetics 40(2), 371–382 (2010)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Deptt. of Electronics and Communication EngineeringShri Ramswaroop Memorial Group of Professional CollegesLucknowIndia

Personalised recommendations