The primary goal of brain image segmentation is to partition a given brain image into different regions representing anatomical structures. Magnetic resonance image (MRI) segmentation is especially interesting, since accurate segmentation in white matter, grey matter and cerebrospinal fluid provides a way to identify many brain disorders such as dementia, schizophrenia or Alzheimer’s disease (AD). Then, image segmentation results in a very interesting tool for neuroanatomical analyses. In this paper we show three alternatives to MR brain image segmentation algorithms, with the Self-Organizing Map (SOM) as the core of the algorithms. The procedures devised do not use any a priori knowledge about voxel class assignment, and results in fully-unsupervised methods for MRI segmentation, making it possible to automatically discover different tissue classes. Our algorithm has been tested using the images from the Internet Brain Image Repository (IBSR) outperforming existing methods, providing values for the average overlap metric of 0.7 for the white and grey matter and 0.45 for the cerebrospinal fluid. Furthermore, it also provides good results for high-resolution MR images provided by the Nuclear Medicine Service of the “Virgen de las Nieves” Hospital (Granada, Spain). 1. Introduction Nowadays, magnetic resonance imaging (MRI) systems provide an excellent spatial resolution as well as a high tissue contrast. Nevertheless, since actual MRI systems can obtain 16-bit depth images corresponding to 65535 gray levels, the human eye is not able to distinguish more than several tens of gray levels. On the other hand, MRI systems provide images as slices which compose the 3D volume. Thus, computer-aided tools are necessary to exploit all the information contained in an MRI. These are becoming a very valuable tool for diagnosing some brain disorders such as Alzheimer’s disease [1–5]. Moreover, modern computers, which contain a large amount of memory and several processing cores, have enough process capabilities for analyzing the MRI in reasonable time. Image segmentation consists in partitioning an image into different regions. In MRI, segmentation consists of partitioning the image into different neuroanatomical structures which corresponds to different tissues. Hence, analyzing the neuroanatomical structures and the distribution of the tissues on the image, brain disorders or anomalies can be figured out. Hence, the importance of having effective tools for grouping and recognizing different anatomical tissues, structures and fluids is growing with the improvement of
References
[1]
I. A. Illán, J. M. Górriz, J. Ramírez et al., “18F-FDG PET imaging analysis for computer aided Alzheimer's diagnosis,” Information Sciences, vol. 181, no. 4, pp. 903–916, 2011.
[2]
I. A. Illán, J. M. Górriz, M. M. López et al., “Computer aided diagnosis of Alzheimer's disease using component based SVM,” Applied Soft Computing Journal, vol. 11, no. 2, pp. 2376–2382, 2011.
[3]
J. M. Górriz, F. Segovia, J. Ramírez, A. Lassl, and D. Salas-Gonzalez, “GMM based SPECT image classification for the diagnosis of Alzheimer's disease,” Applied Soft Computing Journal, vol. 11, no. 2, pp. 2313–2325, 2011.
[4]
M. Kamber, R. Shinghal, D. L. Collins, G. S. Francis, and A. C. Evans, “Model-based 3-D segmentation of multiple sclerosis lesions in magnetic resonance brain images,” IEEE Transactions on Medical Imaging, vol. 14, no. 3, pp. 442–453, 1995.
[5]
J. Ramírez, J. M. Górriz, D. Salas-Gonzalez, et al., “Computer-aided diagnosis of Alzheimer's type dementia combining support vector machines and discriminant set of features,” Information Sciences. In press.
[6]
D. N. Kennedy, P. A. Filipek, and V. S. Caviness, “Anatomic segmentation and volumetric calculations in nuclear magnetic resonance imaging,” IEEE Transactions on Medical Imaging, vol. 8, no. 1, pp. 1–7, 1989.
[7]
A. Khan, S. F. Tahir, A. Majid, and T. S. Choi, “Machine learning based adaptive watermark decoding in view of anticipated attack,” Pattern Recognition, vol. 41, no. 8, pp. 2594–2610, 2008.
[8]
Z. Yang and J. Laaksonen, “Interactive retrieval in facial image database using self-organizing maps,” in Proceedings of the MVA, 2005.
[9]
M. García-Sebastián, E. Fernández, M. Gra?a, and F. J. Torrealdea, “A parametric gradient descent MRI intensity inhomogeneity correction algorithm,” Pattern Recognition Letters, vol. 28, no. 13, pp. 1657–1666, 2007.
[10]
E. Fernández, M. Gra?a, and J. R. Cabello, “Gradient based evolution strategy for parametric illumination correction,” Electronics Letters, vol. 40, no. 9, pp. 531–532, 2004.
[11]
M. García-Sebastián, A. Isabel González, and M. Gra?a, “An adaptive field rule for non-parametric MRI intensity inhomogeneity estimation algorithm,” Neurocomputing, vol. 72, no. 16-18, pp. 3556–3569, 2009.
[12]
T. Kapur, L. Grimson, W. M. Wells, and R. Kikinis, “Segmentation of brain tissue from magnetic resonance images,” Medical Image Analysis, vol. 1, no. 2, pp. 109–127, 1996.
[13]
Y. F. Tsai, I. J. Chiang, Y. C. Lee, C. C. Liao, and K. L. Wang, “Automatic MRI meningioma segmentation using estimation maximization,” in Proceedings of the 27th Annual International Conference of the Engineering in Medicine and Biology Society (IEEE-EMBS '05), pp. 3074–3077, September 2005.
[14]
J. Xie and H. T. Tsui, “Image segmentation based on maximum-likelihood estimation and optimum entropy-distribution (MLE-OED),” Pattern Recognition Letters, vol. 25, no. 10, pp. 1133–1141, 2004.
[15]
Y. Zhang, M. Brady, and S. Smith, “Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm,” IEEE Transactions on Medical Imaging, vol. 20, no. 1, pp. 45–57, 2001.
[16]
N. A. Mohamed, M. N. Ahmed, and A. Farag, “Modified fuzzy c-mean in medical image segmentation,” in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '99), pp. 3429–3432, March 1999.
[17]
W. M. Wells III, W. E. L. Crimson, R. Kikinis, and F. A. Jolesz, “Adaptive segmentation of mri data,” IEEE Transactions on Medical Imaging, vol. 15, no. 4, pp. 429–442, 1996.
[18]
D. Tian and L. Fan, “A brain MR images segmentation method based on SOM neural network,” in Proceedings of the 1st International Conference on Bioinformatics and Biomedical Engineering (ICBBE '07), pp. 686–689, July 2007.
[19]
I. Güler, A. Demirhan, and R. Karaki?, “Interpretation of MR images using self-organizing maps and knowledge-based expert systems,” Digital Signal Processing, vol. 19, no. 4, pp. 668–677, 2009.
[20]
P. K. Sahoo, S. Soltani, and A. K. C. Wong, “A survey of thresholding techniques,” Computer Vision, Graphics and Image Processing, vol. 41, no. 2, pp. 233–260, 1988.
[21]
W. Sun, “Segmentation method of MRI using fuzzy Gaussian basis neural network,” Neural Information Processing, vol. 8, no. 2, pp. 19–24, 2005.
[22]
J. Alirezaie, M. E. Jernigan, and C. Nahmias, “Automatic segmentation of cerebral MR images using artificial neural networks,” IEEE Transactions on Nuclear Science, vol. 45, no. 4, pp. 2174–2182, 1998.
[23]
A. Ortiz, J. M. Górriz, J. Ramírez, and D. Salas-Gonzalez, “MR brain image segmentation by hierarchical growing SOM and probability clustering,” Electronics Letters, vol. 47, no. 10, pp. 585–586, 2011.
[24]
T. Kohonen, Self-Organizing Maps, Springer, 2001.
[25]
E. Arsuaga and F. Díaz, “Topology preservation in SOM,” International Journal of Mathematical and Computer Sciences, vol. 1, no. 1, pp. 19–22, 2005.
[26]
K. Ta?demir and E. Merényi, “Exploiting data topology in visualization and clustering of self-organizing maps,” IEEE Transactions on Neural Networks, vol. 20, no. 4, pp. 549–562, 2009.
[27]
E. Alhoniemi, J. Himberg, J. Parhankagas, and J. Vesanta, “SOM Toolbox for Matlab v2.0,” 2005, http://www.cis.hut.fi/projects/somtoolbox.
[28]
M. O. Stitson, J. A. E. Weston, A. Gammerman, V. Vork, and V. Vapnik, “Theory of support vector machines,” Tech. Rep. CSD-TR-96-17, Department of Computer Science, Royal Holloway College, University of London, 1996.
[29]
M. Nixson and A. Aguado, Feature Extraction and Image Processing, Academic Press, 2008.
[30]
R. M. Haralick, K. Shanmugam, and I. Dinstein, “Textural features for image classification,” IEEE Transactions on Systems, Man and Cybernetics, vol. 3, no. 6, pp. 610–621, 1973.
[31]
M. Hu, “Visual pattern recognition by moments invariants,” IRE Transactions on Information Theory, vol. 8, pp. 179–187, 1962.
[32]
Internet Brain Database Repository, Massachusetts General Hospital, Center for Morphometric Analysis, 2010, http://www.cma.mgh.harvard.edu/ibsr/data.html.
[33]
J. C. Rajapakse and F. Kruggel, “Segmentation of MR images with intensity inhomogeneities,” Image and Vision Computing, vol. 16, no. 3, pp. 165–180, 1998.
[34]
J. L. Marroquin, B. C. Vemuri, S. Botello, F. Calderon, and A. Fernandez-Bouzas, “An accurate and efficient Bayesian method for automatic segmentation of brain MRI,” IEEE Transactions on Medical Imaging, vol. 21, no. 8, pp. 934–945, 2002.
[35]
J. C. Bezdek, L. O. Hall, and L. P. Clarke, “Review of MR image segmentation techniques using pattern recognition,” Medical Physics, vol. 20, no. 4, pp. 1033–1048, 1993.
[36]
L. P. Clarke, R. P. Velthuizen, M. A. Camacho et al., “MRI segmentation: methods and applications,” Magnetic Resonance Imaging, vol. 13, no. 3, pp. 343–368, 1995.
[37]
C. T. Su and H. C. Lin, “Applying electromagnetism-like mechanism for feature selection,” Information Sciences, vol. 181, no. 5, pp. 972–986, 2011.
[38]
K. Tan, E. Khor, and T. Lee, Multiobjective Evolutionary and Applications, Springer, 1st edition, 2005.
[39]
T. Tasdizen, S. P. Awate, R. T. Whitaker, and N. L. Foster, “MRI tissue classification with neighborhood statistics: a nonparametric, entropy-minimizing approach,” in Proceedings of the International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI '05), 2005.
[40]
I. Usman and A. Khan, “BCH coding and intelligent watermark embedding: employing both frequency and strength selection,” Applied Soft Computing Journal, vol. 10, no. 1, pp. 332–343, 2010.
[41]
Y. Wang, T. Adali, S. Y. Kung, and Z. Szabo, “Quantification and segmentation of brain tissues from MR images: a probabilistic neural network approach,” IEEE Transactions on Image Processing, vol. 7, no. 8, pp. 1165–1181, 1998.