A New Local Fractional Entropy-Based Model for Kidney MRI Image Enhancement

Kidney image enhancement is challenging due to the unpredictable quality of MRI images, as well as the nature of kidney diseases. The focus of this work is on kidney images enhancement by proposing a new Local Fractional Entropy (LFE)-based model. The proposed model estimates the probability of pixels that represent edges based on the entropy of the neighboring pixels, which results in local fractional entropy. When there is a small change in the intensity values (indicating the presence of edge in the image), the local fractional entropy gives fine image details. Similarly, when no change in intensity values is present (indicating smooth texture), the LFE does not provide fine details, based on the fact that there is no edge information. Tests were conducted on a large dataset of different, poor-quality kidney images to show that the proposed model is useful and effective. A comparative study with the classical methods, coupled with the latest enhancement methods, shows that the proposed model outperforms the existing methods.

[1]  Georgy L. Gimel'farb,et al.  A generalized MRI-based CAD system for functional assessment of renal transplant , 2017, 2017 IEEE 14th International Symposium on Biomedical Imaging (ISBI 2017).

[2]  Hamid A. Jalab,et al.  Existence of Ulam Stability for Iterative Fractional Differential Equations Based on Fractional Entropy , 2015, Entropy.

[3]  Hari M. Srivastava,et al.  Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations , 2017, Comput. Math. Appl..

[4]  Tong Lu,et al.  Fractional poisson enhancement model for text detection and recognition in video frames , 2016, Pattern Recognit..

[5]  Hamid A. Jalab,et al.  Fractional Alexander polynomials for image denoising , 2015, Signal Process..

[6]  Hamid A. Jalab,et al.  Texture Enhancement Based on the Savitzky-Golay Fractional Differential Operator , 2013 .

[7]  M. Ubriaco,et al.  Entropies based on fractional calculus , 2009, 0902.2726.

[8]  H. Srivastava,et al.  Local Fractional Integral Transforms and Their Applications , 2015 .

[9]  Jae Young Lee,et al.  A New Feature-Enhanced Speckle Reduction Method Based on Multiscale Analysis for Ultrasound B-Mode Imaging , 2016, IEEE Transactions on Biomedical Engineering.

[10]  Murat Alparslan Gungor,et al.  The homogeneity map method for speckle reduction in diagnostic ultrasound images , 2015 .

[11]  Amr Ahmed,et al.  Image denoising algorithm based on the convolution of fractional Tsallis entropy with the Riesz fractional derivative , 2016, Neural Computing and Applications.

[12]  Alan C. Bovik,et al.  No-Reference Image Quality Assessment in the Spatial Domain , 2012, IEEE Transactions on Image Processing.

[13]  Giampaolo Ferraioli,et al.  Enhanced Wiener filter for ultrasound image restoration , 2018, Comput. Methods Programs Biomed..

[14]  Yang Xiao-Jun.  Local Fractional Functional Analysis and Its Applications , 2011 .

[15]  Helena R. Torres,et al.  Kidney Segmentation in Ultrasound, Magnetic Resonance and Computed Tomography Images: A Systematic Review , 2018, Comput. Methods Programs Biomed..

[16]  H. Srivastava,et al.  Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives , 2013 .

[17]  Wilhelm Burger,et al.  Digital Image Processing - An Algorithmic Introduction using Java , 2008, Texts in Computer Science.

[18]  Hari M. Srivastava,et al.  Local fractional similarity solution for the diffusion equation defined on Cantor sets , 2015, Appl. Math. Lett..

[19]  Hasan Koyuncu,et al.  A hybrid tool on denoising and enhancement of abdominal CT images before organ & tumour segmentation , 2017, 2017 IEEE 37th International Conference on Electronics and Nanotechnology (ELNANO).

[20]  José António Tenreiro Machado,et al.  Fractional Order Generalized Information , 2014, Entropy.

[21]  Min Zhang,et al.  Efficient Small Blob Detection Based on Local Convexity, Intensity and Shape Information , 2016, IEEE Transactions on Medical Imaging.

[22]  Hari M. Srivastava,et al.  A new computational approach for solving nonlinear local fractional PDEs , 2017, J. Comput. Appl. Math..

[23]  Palaiahnakote Shivakumara,et al.  Riesz Fractional Based Model for Enhancing License Plate Detection and Recognition , 2018, IEEE Transactions on Circuits and Systems for Video Technology.

[24]  Alan C. Bovik,et al.  Making a “Completely Blind” Image Quality Analyzer , 2013, IEEE Signal Processing Letters.

[25]  J. Machado,et al.  EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN , 2017 .