Reconstruction performances of curvelet transform for magnetic resonance images

  • Rashid Hussain Hamdard University, Karachi G-164 PECH Block-3 Off Khalid Bin Walid Road Karachi, Pakistan
  • ABDUL REHMAN MEMON
Keywords: Clustering, curvelet transform, de-noised image, image segmentation, wavelet transform

Abstract

Reconstruction performances of transforms are deeply associated with imageprocessing, scientific computing and computer vision. This research focuses onthe performance of Curvelet Transform for Magnetic Resonance Images. The mainoutcome of this technique includes the removal of non-homogeneous noise usingCurvelet based de-noising methods. Curvelet Transform belongs to the family ofdirectional Wavelets. Curvelet Transform not only contains translations, dilations butalso the rotations, which can enhance the reconstruction of curve objects. This researchinvolves multi-scale reconstruction of objects with edge discontinuities. Experimentalresults show that Curvelet Transform has superior reconstruction capability for animage with curve objects. Another phase of this research covers the segmentationof de-noised images using Fuzzy C-Means Clustering (FCM) algorithm. The clusterformation in FCM algorithm is based on the Euclidian distance between pixels withsimilar intensities. Experimental results show that segmentation of reconstructedimages is adversely affected by the noise bursts.

References

Bezdek, J. C. 1981. Pattern Recognition with Fuzzy Objective Function Algorithms. Kluwer Academic

Publishers Norwell, MA, USA.

Bo Zhang. Fadili, J.M. & Starck, J.L. 2008. Wavelets, Ridgelets, and Curvelets for Poisson Noise

Removal. IEEE Transactions on Image Processing 17(7): 1093-1108.

Cannon, R. L. Dave, J. V. & Bezdek, J. C. 1986. Efficient implementation of the Fuzzy C-Means

Clustering Algorithms. IEEE Transaction on Pattern Analysis and Machine Intelligence 8(2):

-255.

Candès, E. J. & Donoho, D.L. 1999. Curvelets : A Surprisingly Effective Non-adaptive Representation for Objects with Edges; Curve and Surface Fitting: Saint-Malo Vanderbilt University Press,

Nashville, USA.

Chen, G.Y., & Kégl B. 2007. Image de-noising with complex ridgelets, Pattern Recognition, 40(2)

– 585.

Do M. & Vetterli, M. 2005. The Contourlet Transform: An efficient directional multi-resolution image

representation. IEEE Transaction on Image Processing 14(12):2091-2106.

Dunn, J.C. 1973. A fuzzy relative of the ISODATA process and its use in detecting compact well-separated

clusters. Journal of Cybernetics 3(3):32-57.

Esmaeili, M. Rabbani, H. Dehnavi, A.M. & Dehghani, A. 2012. Automatic detection of exudates and

optic disk in retinal images using Curvelet Transform. IET Image Processing 6(7): 1005-1013.

Feng, N. Liyong, Ma. & Shen, Ye. 2007. Fuzzy Partition Based Curvelets and Wavelets Denoise

Algorithm, Computational Intelligence and Security Workshops.

Gonzalez R. & Wood R. 2002. Digital Image Processing, Pearson Education, Inc., 2nd edition.

Hussain, R. Sheeraz, A. Sikander, M. A. & Memon, A.R. 2011. Fuzzy clustering based malign areas

detection in noisy breast Magnetic Resonant (MR) images. International Journal of Academic

Research 3(2) 65-70.

Kafieh, R. Rabbani, Hajizadeh, H. F. & Ommani, M. 2013. An Accurate Multimodal 3-D Vessel

Segmentation Method Based on Brightness Variations on OCT Layers and Curvelet Domain Fundus

Image Analysis. IEEE Transactions on Biomedical Engineering 10(10): 2815- 2823.

Li, Q. W. Huo, G. Y. Li, H. Ma, G.C. & Shi, A. Y. 2012. Special section on biologically-inspired radar

sonar systems - Bionic vision-based synthetic aperture radar image edge detection method in nonsub

sampled contourlet transform domain Radar. IET Sonar & Navigation 6(6): 526-53.

Lyer, N.S. Kandel, A. & Schneider, M. 2002. Feature-based fuzzy classification for interpretation of

mammograms. Fuzzy Sets and Systems 114(2):271–80.

Miri, M.S. & Mahloojifar, A. 2011. Retinal Image Analysis Using Curvelet Transform and Multistructure

Elements Morphology by Reconstruction. IEEE Transaction on Biomedical Engineering 58(5):1183-

Starck, L. J. Candès, E.J. & Donoho, D.L. 2002. The Curvelet Transform for Image De-noising. IEEE

Transaction on Image Processing 50(3): 670-684.

Shen, Ji. Qin Li. & Erlebacher, G. 2011. Hybrid No-Reference Natural Image Quality Assessment

of Noisy, Blurry, JPEG2000, and JPEG Images. IEEE Transactions on Image Processing 20(8):

-2098.

Sheng-Hua Zhong. Yan Liu. Yang Liu & Chang-Sheng Li. 2013. Water Reflection Recognition Based

on Motion Blur Invariant Moments in Curvelet Space. IEEE Transactions on Image Processing

(11): 4301- 4313.

Wen Liang, H. Yeng M. S. & Chen, D. H. 2006. Parameter selection for suppressed FCM with application

to MRI. Pattern Recognition Letters 27(5): 424-438.

Xinbo Gao. Wen Lu. Dacheng Tao & Xuelong Li. 2009. Image Quality Assessment Based on Multiscale

Geometric Analysis. IEEE Transactions on Image Processing 50(6):1409- 1423.

Published
2014-12-16