Fractional Calculus and Fuzzy Rule Based Filter for Despeckling the Medical Images

  • Authors

    • Nageswari P
    • Rajan S
    • Manivel K
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.21312
  • Denoising, Fractional order integration filter, fuzzy sets, Ultrasound imaging and speckle noise
  • Medical ultrasound imaging plays an important role in diagnosis of various complicated disorders. But, these ultrasound images are intrinsically degraded with speckle noise which harshly affects the image visual qualities and essential particulars. Hence, denoising is an unavoidable process in medical image processing.  In this paper, a new despeckling technique is presented for denoising the medical ultrasound images by employing fuzzy technique on co-efficient of variation and fractional order integration filter. The proposed technique has two steps. During first step, the noisy image pixels are classified into three regions by using fuzzy technique on co-efficient of variation and consequently, the proposed technique adaptively employs appropriate filters on the grouped pixels to reduce noise in the ultrasound image. In the second step, to obtain an effective denoising image, the fractional order integration filter is applied on the resulting image of step 1. The performance of the proposed technique is tested on various medical images in terms of Peak signal to noise ratio and speckle suppression index quality measures. Experimental results reveal that the proposed despeckling technique can efficiently reduce the speckle noise, protect the edges and preserves any other important structural details of an image. It is suggested that the proposed technique is employed as a preprocessing tool for medical image analysis and diagnosis.

     

  • References

    1. [1] V.Dutt and F. James, “Adaptive speckle reduction filter for log-compressed B-scan imagesâ€, IEEE Transactions on Medical Imaging, 15(6), (1996), 802-813.

      [2] N. He, W.Jin-bao, Z. Lu-Lu, Z and L.Ke, “An improved fractional-order differentiation model for image denoisingâ€, Signal Processing 112, (2015),180-188.

      [3] M.Ghazel,G.H.Freeman and E.R.Vrscay,â€Fractal image denoisingâ€, IEEE Transactions on Image Processing,2(12), (2003),1560-1578.

      [4] A.Kaoru, “Median filter based on fuzzy rules and its applications to image restorationâ€, Fuzzy sets and systems, 77, (1996), 3-13.

      [5] K. N. Chaudhury, D. Sage, and M. Unser, “Fast ð‘‚(1) bilateral filtering using trigonometric range kernelsâ€, IEEE Transactions on Image Processing,20(12), (2011),3376–3382.

      [6] T. Goldstein and S. Osher, “The split Bregman method for L1-regularized problemsâ€, SIAM Journal on Imaging Sciences,2(2) (2009),323–343.

      [7] R.B.Chinna and L.M.Madhavi, “A combination of wavelet and fractal image denoising techniqueâ€. International Journal of Electronics Engineering, 2(2), (2010), 259-264.

      [8] J.S.Lee, “Digital image enhancement and noise filtering by use of local statisticsâ€, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2, (1980), 165-168.

      [9] L.Bo and X.Wei, “Image denoising and enhancement based on adaptive fractional calculusofsmallprobabilitystrategyâ€,Neurocomputing,http://dx.doi.org/10.1016/j.neucom.2015.10.115.

      [10] [13]. Jalab, H. A., Rabha, W, I., “Denoising algorithm based on generalized fractional integral operator with two parametersâ€, Discrete Dynamics in Nature and Society, 2012. DOI: 10.1155/2012/529849

      [11] Li, B., Wei, X. “Image denoising and enhancement based on adaptive fractional calculus of small probability strategyâ€. Elsevier journal of Neurocomputing, 2015. DOI: 10.1016/j.neucom.2015.10.115.

      [12] C.Tomasi and R.Manduchi, “Bilateral filtering for gray and color imagesâ€, in Proceedings of the IEEE International Conference on Computer Vision, (1998), 839-846.

      [13] D.Zhou and W.Cheng, “Image denoising with an optimal threshold and neighbouring windowâ€, Pattern Recognition Letters, (2008),1694-1697.DOI: 10.1016/j.patrec.2008.04.014

      [14] Y.Wang,W.Chew,S. Zhou,T.Yu and Y.ZHANG, “MTV: modified total variation model for image noise removal". Electronics Letters, (2011), 592-594. DOI: 10.1049/el.2010.3505

      [15] H.K.Kwan and Y.CAI,, “Fuzzy filters for image filtering.45th Midwest Symposium on circuits and systems,3,(2002),III-672. DOI: 10.1109/mwscas.2002.1187129.

      [16] S.Ayesha and R. Adnan , “Fractional order integration and fuzzy logic based filter for denoising of echocardiographic imageâ€, Computer Methods and Programs in Biomedicine (2016), http://dx.doi.org/doi: 10.1016/j.cmpb.2016.09.006.

      [17] PU, YI, F. JI, L. ZHOU, and XIAO, Y. “Fractional differential mask: a fractional differential-based approach for multiscale texture enhancementâ€. IEEE Transactions on Image Processing, 2010, vol. 19, p. 491-511. DOI: 10.1109/TIP.2009.2035980

  • Downloads

  • How to Cite

    P, N., S, R., & K, M. (2018). Fractional Calculus and Fuzzy Rule Based Filter for Despeckling the Medical Images. International Journal of Engineering & Technology, 7(4.10), 685-689. https://doi.org/10.14419/ijet.v7i4.10.21312