Brain MRI tissue classification based on local Markov random fields.

A new method for tissue classification of brain magnetic resonance images (MRI) of the brain is proposed. The method is based on local image models where each models the image content in a subset of the image domain. With this local modeling approach, the assumption that tissue types have the same characteristics over the brain needs not to be evoked. This is important because tissue type characteristics, such as T1 and T2 relaxation times and proton density, vary across the individual brain and the proposed method offers improved protection against intensity non-uniformity artifacts that can hamper automatic tissue classification methods in brain MRI. A framework in which local models for tissue intensities and Markov Random Field (MRF) priors are combined into a global probabilistic image model is introduced. This global model will be an inhomogeneous MRF and it can be solved by standard algorithms such as iterative conditional modes. The division of the whole image domain into local brain regions possibly having different intensity statistics is realized via sub-volume probabilistic atlases. Finally, the parameters for the local intensity models are obtained without supervision by maximizing the weighted likelihood of a certain finite mixture model. For the maximization task, a novel genetic algorithm almost free of initialization dependency is applied. The algorithm is tested on both simulated and real brain MR images. The experiments confirm that the new method offers a useful improvement of the tissue classification accuracy when the basic tissue characteristics vary across the brain and the noise level of the images is reasonable. The method also offers better protection against intensity non-uniformity artifact than the corresponding method based on a global (whole image) modeling scheme.

[1]  H. Donald Gage,et al.  Statistical models of partial volume effect , 1995, IEEE Trans. Image Process..

[2]  H. Damasio,et al.  Validation of Partial Tissue Segmentation of Single-Channel Magnetic Resonance Images of the Brain , 2000, NeuroImage.

[3]  Jagath C. Rajapakse,et al.  Statistical approach to segmentation of single-channel cerebral MR images , 1997, IEEE Transactions on Medical Imaging.

[4]  Thomas Becker,et al.  MRI T2 relaxation times of brain regions in schizophrenic patients and control subjects , 1997, Psychiatry Research: Neuroimaging.

[5]  J. Mazziotta,et al.  Brain Mapping: The Methods , 2002 .

[6]  Karl J. Friston,et al.  Unified segmentation , 2005, NeuroImage.

[7]  Bostjan Likar,et al.  Retrospective Correction of MR Intensity Inhomogeneity by Information Minimization , 2000, MICCAI.

[8]  Alan C. Evans,et al.  Automated 3-D Extraction of Inner and Outer Surfaces of Cerebral Cortex from MRI , 2000, NeuroImage.

[9]  Nuggehally Sampath Jayant,et al.  An adaptive clustering algorithm for image segmentation , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[10]  Richard M. Leahy,et al.  BrainSuite: An Automated Cortical Surface Identification Tool , 2000, MICCAI.

[11]  D. Louis Collins,et al.  Application of Information Technology: A Four-Dimensional Probabilistic Atlas of the Human Brain , 2001, J. Am. Medical Informatics Assoc..

[12]  J. Besag On the Statistical Analysis of Dirty Pictures , 1986 .

[13]  Ivo D Dinov,et al.  SOCR: Statistics Online Computational Resource. , 2006, Journal of statistical software.

[14]  Hayit Greenspan,et al.  Constrained Gaussian mixture model framework for automatic segmentation of MR brain images , 2006, IEEE Transactions on Medical Imaging.

[15]  Alan C. Evans,et al.  A nonparametric method for automatic correction of intensity nonuniformity in MRI data , 1998, IEEE Transactions on Medical Imaging.

[16]  P. Lundberg,et al.  Novel method for rapid, simultaneous T1, T*2, and proton density quantification , 2007, Magnetic resonance in medicine.

[17]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[18]  H. Gudbjartsson,et al.  The rician distribution of noisy mri data , 1995, Magnetic resonance in medicine.

[19]  D. Louis Collins,et al.  Model-based 3-D segmentation of multiple sclerosis lesions in magnetic resonance brain images , 1995, IEEE Trans. Medical Imaging.

[20]  Josef Kittler,et al.  Combining classifiers: A theoretical framework , 1998, Pattern Analysis and Applications.

[21]  Koenraad Van Leemput,et al.  Automated model-based bias field correction of MR images of the brain , 1999, IEEE Transactions on Medical Imaging.

[23]  James C. Gee,et al.  Robust partial-volume tissue classification of cerebral MRI scans , 1997, Medical Imaging.

[24]  Baba C. Vemuri,et al.  An Accurate and Efficient Bayesian Method for Automatic Segmentation of Brain MRI , 2002, ECCV.

[25]  W. Reddick,et al.  Establishing norms for age-related changes in proton T1 of human brain tissue in vivo. , 1997, Magnetic resonance imaging.

[26]  D. Louis Collins,et al.  Design and construction of a realistic digital brain phantom , 1998, IEEE Transactions on Medical Imaging.

[27]  Richard Szeliski,et al.  A Comparative Study of Energy Minimization Methods for Markov Random Fields with Smoothness-Based Priors , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[28]  Bostjan Likar,et al.  A Review of Methods for Correction of Intensity Inhomogeneity in MRI , 2007, IEEE Transactions on Medical Imaging.

[29]  Stephen M. Smith,et al.  Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm , 2001, IEEE Transactions on Medical Imaging.

[30]  Suyash P. Awate,et al.  Adaptive Markov modeling for mutual-information-based, unsupervised MRI brain-tissue classification , 2006, Medical Image Anal..

[31]  Paul M. Thompson,et al.  P2-161 Automated brain tissue assessment in the elderly and demented population: construction and validation of a sub-volume probabilistic brain atlas , 2004, Neurobiology of Aging.

[32]  Geoffrey J. McLachlan,et al.  Finite Mixture Models , 2019, Annual Review of Statistics and Its Application.

[33]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[34]  T. Foster,et al.  A review of normal tissue hydrogen NMR relaxation times and relaxation mechanisms from 1-100 MHz: dependence on tissue type, NMR frequency, temperature, species, excision, and age. , 1984, Medical physics.

[35]  Kaspar Althoefer,et al.  Wheel/tissue force interaction: A new concept for soft tissue diagnosis during MIS , 2008, 2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[36]  Ulla Ruotsalainen,et al.  Genetic Algorithms for Finite Mixture Model Based Voxel Classification in Neuroimaging , 2007, IEEE Transactions on Medical Imaging.

[37]  Noel A Cressie,et al.  The Construction of Multivariate Distributions from Markov Random Fields , 2000 .

[38]  Alan C. Evans,et al.  Fast and robust parameter estimation for statistical partial volume models in brain MRI , 2004, NeuroImage.

[39]  Robert T. Schultz,et al.  Segmentation and Measurement of the Cortex from 3D MR Images , 1998, MICCAI.

[40]  Anders M. Dale,et al.  Sequence-independent segmentation of magnetic resonance images , 2004, NeuroImage.

[41]  S. Holland,et al.  NMR relaxation times in the human brain at 3.0 tesla , 1999, Journal of magnetic resonance imaging : JMRI.

[42]  W. Eric L. Grimson,et al.  Adaptive Segmentation of MRI Data , 1995, CVRMed.

[43]  W. Reddick,et al.  More than meets the eye: significant regional heterogeneity in human cortical T1. , 2000, Magnetic resonance imaging.

[44]  N. Tzourio-Mazoyer,et al.  Automated Anatomical Labeling of Activations in SPM Using a Macroscopic Anatomical Parcellation of the MNI MRI Single-Subject Brain , 2002, NeuroImage.

[45]  D R Haynor,et al.  Partial volume tissue classification of multichannel magnetic resonance images-a mixel model. , 1991, IEEE transactions on medical imaging.

[46]  M.X.H. Yan,et al.  Segmentation of 3D brain MR using an adaptive K-means clustering algorithm , 1994, Proceedings of 1994 IEEE Nuclear Science Symposium - NSS'94.

[47]  J. Koenderink The structure of images , 2004, Biological Cybernetics.

[48]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[49]  A. Antoniadis,et al.  Segmentation of magnetic resonance brain images through discriminant analysis , 2003, Journal of Neuroscience Methods.

[50]  Daniel Rueckert,et al.  Automatic anatomical brain MRI segmentation combining label propagation and decision fusion , 2006, NeuroImage.

[51]  Jussi Tohka,et al.  Robust MRI brain tissue parameter estimation by multistage outlier rejection , 2008, Magnetic resonance in medicine.

[52]  Jerry L. Prince,et al.  Reconstruction of the human cerebral cortex from magnetic resonance images , 1999, IEEE Transactions on Medical Imaging.

[53]  Hugues Benoit-Cattin,et al.  Intensity non-uniformity correction in MRI: Existing methods and their validation , 2006, Medical Image Anal..

[54]  Natasa Kovacevic,et al.  A Robust Method for Extraction and Automatic Segmentation of Brain Images , 2002, NeuroImage.

[55]  G. Bruce Pike,et al.  Understanding Intensity Non-uniformity in MRI , 1998, MICCAI.

[56]  Stan Z. Li,et al.  Markov Random Field Modeling in Computer Vision , 1995, Computer Science Workbench.

[57]  Nasser Kehtarnavaz,et al.  Comparison of tissue segmentation algorithms in neuroimage analysis software tools , 2008, 2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[58]  Anders M. Dale,et al.  Cortical Surface-Based Analysis I. Segmentation and Surface Reconstruction , 1999, NeuroImage.

[59]  A. Dale,et al.  Whole Brain Segmentation Automated Labeling of Neuroanatomical Structures in the Human Brain , 2002, Neuron.

[60]  Donald A. Jackson,et al.  Similarity Coefficients: Measures of Co-Occurrence and Association or Simply Measures of Occurrence? , 1989, The American Naturalist.

[61]  D. Collins,et al.  Automatic 3D Intersubject Registration of MR Volumetric Data in Standardized Talairach Space , 1994, Journal of computer assisted tomography.

[62]  R. Leahy,et al.  Magnetic Resonance Image Tissue Classification Using a Partial Volume Model , 2001, NeuroImage.

[63]  Ron Kikinis,et al.  Adaptive, template moderated, spatially varying statistical classification , 2000, Medical Image Anal..

[64]  Koenraad Van Leemput,et al.  Automated model-based tissue classification of MR images of the brain , 1999, IEEE Transactions on Medical Imaging.

[65]  W. Eric L. Grimson,et al.  A Bayesian model for joint segmentation and registration , 2006, NeuroImage.

[66]  Paul M. Thompson,et al.  Automated brain tissue assessment in the elderly and demented population: Construction and validation of a sub-volume probabilistic brain atlas , 2005, NeuroImage.

[67]  José V. Manjón,et al.  A nonparametric MRI inhomogeneity correction method , 2007, Medical Image Anal..

[68]  Feifang Hu,et al.  The weighted likelihood , 2002 .

[69]  Alan C. Evans,et al.  Automated 3-D extraction and evaluation of the inner and outer cortical surfaces using a Laplacian map and partial volume effect classification , 2005, NeuroImage.