Abstract
Segmentation is an important step for quantitative analysis of brain images and for the study of many brain disorders. Indeed, structural changes in the brain can be due to some brain disorders. The quantification of these changes, by measuring volumes of structures of interest, can be used to characterize disease severity or evolution. For instance, in morphometry, brain tissue segmentation enables to compare tissue volumes and to follow the evolution of some brain disorders. Before these measurements can be carried out, the labeling process must be performed. In this approach, the tissue types of interest are white matter (WM), gray matter (GM), and cerebrospinal fluid (CSF), but other approaches classify voxels according to their anatomical structure. As most studies involve large amounts of data, manual tracing of cerebral structures in MR images by a human expert is obviously a time-consuming process. Moreover, these manual segmentations are prone to large intra- and interobserver variability, which deteriorates the significance of the resulting segmentation analysis.
Thus, due to different artifacts appearing on MR images, segmentation is not obvious and remains a challenging task. The first point deals with spatial regularization required to overcome the disturbance added during the MRI formation. The second artifact that appears in MR images is the corruption by a bias field. The third important issue in MR segmentation is the partial volume effect (PVE). Due to the limited resolution of acquisition system, voxels along the boundaries are composed of two or more tissues. Therefore, it is necessary to consider this partial volume effect in order to achieve an accurate segmentation of brain tissues. In fact, hard segmentation (WM, GM, CSF) ignores this problem and therefore loses information concerning the tissue structure.
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Notes
- 1.
http://www.fil.ion.ucl.ac.uk/spm.
- 2.
http://www.medicalimagecomputing.com/EMS/.
References
Aït-Ali L, Prima S, Hellier P, Carsin B, Edan G, Barillot C (2005) STREM: a robust multidimensional parametric method to segment MS lesions in MRI. In: Duncan J, Gerig G (eds) 8th international conference on medical image computing and computer-assisted intervention, MICCAI’2005, Springer, Palm Springs, Lecture Notes in Computer Science, vol 3749, pp 409–416
Al-Zubi S, Toennies K, Bodammer N, Hinrichs H (2002) Fusing Markov random fields with anatomical knowledge and shape based analysis to segment multiple sclerosis white matter lesions in magnetic resonance images of the brain. Bildverarbeitung für die Medizin pp 185–188
Ashburner J, Friston K (1997) Multimodal image coregistration and partitioning – a unified framework. NeuroImage 6(3):209–217
Ashburner J, Friston K (2000) Voxel-based morphometry – the methods. NeuroImage 11: 805–821
Ashburner J, Friston K (2005) Unified segmentation. NeuroImage 26:839–857
Bandoh Y, Kamata A (1999) An address generator for a 3-dimensional pseudo-Hilbert scan in a cuboid region. ICIP 496–500
Belaroussi B, Milles J, Carme S, Zhu YM, Benoit-Cattin H (2006) Intensity non-uniformity correction in MRI: existing method and their validation. Med Image Anal 10(2):234–246
Bosc M, Heitz F, Armspach JP (2003) Statistical atlas-based sub-voxel segmentation of 3D brain MRI. In: IEEE international conference on image processing (ICIP), Barcelone, Espagne, pp 1077–1080
Bovik A (2000) Handbook of image and video processing. Academic, San Diego
Bricq S, Collet C, Armspach JP (2008) Lesions detection on 3D brain MRI using trimmed likelihood estimator and probabilistic atlas. In: 5th IEEE international symposium on biomedical imaging ISBI’08, Paris, France
Bricq S, Collet C, Armspach JP (2008) Markovian segmentation of 3D brain MRI to detect multiple sclerosis lesions. In: IEEE international conference on image processing ICIP’08, San Diego, CA
Bricq S, Collet C, Armspach JP (2008) Unifying framework for multimodal brain MRI segmentation based on hidden Markov chains. Med Image Anal 12(6):639–652
Choi HS, Haynor DR, Kim YM (1991) Partial volume tissue classification of multichannel magnetic resonance images – a mixel model. IEEE Trans Med Images 10:395–407
C̆íz̆ek P (2002) Robust estimation in nonlinear regression and limited dependent variable models. EconPapers
Delyon G, Galland F, Réfrégier P (2006) Minimal stochastic complexity image partitioning with unknown noise model. IEEE Trans Image Process 15(10):3207–3212
Dempster A, Laird N, Rubin D (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc B 39:1–38
Dimova R, Neykov N (2004) Generalized D-fullness techniques for breakdown point study of the trimmed likelihood estimator with applications. In: Hubert M, Pison G, Struyf A, Van Aelst S (eds) Theory and applications of recent robust methods. Birkhauser, Basel, pp 83–91
Dugas-Phocion G, González Ballester MA, Malandain G, Lebrun C, Ayache N (2004) Improved EM-based tissue segmentation and partial volume effect quantification in multi-sequence brain MRI. In: Proceedings of MICCAI’04, Springer, Saint-Malo, France, Lecture Notes in Computer Science
Galland F (2004) Partition d’images par minimisation de la complexité stochastique et grille active: application à la segmentation d’images de radar à ouverture synthétique. PhD Thesis, Université d’Aix-Marseille III
Galland F, Bertaux N, Réfrégier P (2003) Minimum description length synthetic aperture radar image segmentation. IEEE Trans Image Process 12(9):995–1006
Gelman A, Carlin J, Stern H, Rubin D (2005) Bayesian data analysis. Chapman and Hall, New York
Guillemaud R, Brady M (1997) Estimating the bias field of MR images. IEEE Trans Med Imaging 16(3):238–251
Hadi A, Luceno A (1997) Maximum trimmed likelihood estimators: a unified approach, examples, and algorithms. Comput Stat Data Anal 25:251–272
Hoppe H (1996) Progressive meshes. In: ACM SIGGRAPH ’96, pp 99–108
Lorensen WE, Cline HE (1987) Marching cubes: a high resolution 3D surface construction algorithm. Comput Graph 21(3):163–169
Marroquin J, Vemuri B, Botelo S et al (2002) An accurate and efficient Bayesian method for automatic segmentation of brain MRI. IEEE Trans Med Imaging 21(8):934–945
Martin P, Réfrégier P, Galland F, Guérault F (2006) Nonparametric statistical snake based on the minimum stochastic complexity. IEEE Trans Image Process 15(9):2762–2770
Neykov N, Müller C (2003) Breakdown point and computation of trimmed likelihood estimators in generalized linear models. In: Dutter R, Filzmoser P, Gatter U, Rousseeuw P (eds) Developments in robust statistics, Physica-Verlag, Heidelberg, pp 277–286
Neykov N, Neytchev P (1990) A robust alternative of the MLE. Compstat’90, pp 99–100
Noblet V, Heinrich C, Heitz F, Armspach JP (2005) 3-D deformable image registration: a topology preservation scheme based on hierarchical deformation models and interval analysis optimization. IEEE Trans Image Process 14(5):553–566
Pieczynski W (1992) Statistical image segmentation. Mach Graph Vis 1(2):261–268
Rissanen J (1989) Stochastic complexity in statistical inquiry. World Scientific, Singapore
Rousseeuw P, Leroy A (1987) Robust regression and outlier detection. Wiley, New York
Ruan S, Jaggi C, Fadili J, Bloyet D (2000) Brain tissue classification of magnetic resonance images using partial volume modeling. IEEE Trans Med Imaging 19(12):1179–1187
Ruan S, Moretti B, Fadili J, Bloyet D (2002) Fuzzy Markovian segmentation in application of magnetic resonance images. Comput Vis Image Underst 85:54–69
Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423
Shattuck DW, Sandor-Leahy SR, Schaper KA, Rottenberg DA, Leahy RM (2001) Magnetic resonance image tissue classification using a partial volume model. NeuroImage 13:856–876
Sled JG, Zijdenbos AP (1998) A nonparametric method for automatic correction of intensity nonuniformity in MRI data. IEEE Trans Med Imaging 17(1):87–97
Smith S (2002) Fast robust automated brain extraction. Hum Brain Mapp 17:143–155
Styner M, Brechbuhler C, Szekely G, Gerig G (2000) Parametric estimate of intensity inhomogeneities applied to MRI. IEEE Trans Med Imaging 19(3):153–165
Tanner M (1993) Tools for statistical inference : methods for the exploration of posterior distributions and likelihood functions. Springer, Berlin
Tohka J, Zijdenbos A, Evans A (2004) Fast and robust parameter estimation for statistical partial volume models in brain MRI. NeuroImage 23(1):84–97
Van Leemput K, Maes F, Vandermeulen D, Suetens P (1999) Automated model-based bias field correction of MR images of the brain. IEEE Trans Med Imaging 18(10):885–896
Van Leemput K, Maes F, Vandermeulen D, Suetens P (1999) Automated model-based tissue classification of MR images of the brain. IEEE Trans Med Imaging 18(10):897–908
Van Leemput K, Maes F, Vandermeulen D, Suetens P (2003) A unifying framework for partial volume segmentation of brain MR images. IEEE Trans Med Imaging 22(1):10–113
Vandev D, Neykov N (1993) Robust maximum likelihood in the Gaussian case. In: New Directions in Data Analysis and Robustness, Birkhäuser Verlag Basel, Switzerland, pp 259–264
Wells WM, Grimson WEL, Kikinis R, Jolesz FA (1996) Adaptative segmentation of MRI data. IEEE Trans Med Imaging 15(4):429–442
Zorin D, Schröder P, Sweldens W (1996) Interpolating subdivision for meshes with arbitrary topology. In: SIGGRAPH ’96: Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, ACM, New York, pp 189–192
Acknowledgements
We thank the Alsace Region and the CNRS for funding this research. We thank the Computational Geometry and Computer Graphics team of the LSIIT for their graphic modeling platform.
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Bricq, S., Collet, C., Armspach, JP. (2010). Brain MRI Segmentation. In: Garbey, M., Bass, B., Collet, C., Mathelin, M., Tran-Son-Tay, R. (eds) Computational Surgery and Dual Training. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1123-0_3
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