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Characterization of Neuropathological Shape Deformations
February 1998 (vol. 20 no. 2)
pp. 97-112

Abstract—We present a framework for analyzing the shape deformation of structures within the human brain. A mathematical model is developed describing the deformation of any brain structure whose shape is affected by both gross and detailed physical processes. Using our technique, the total shape deformation is decomposed into analytic modes of variation obtained from finite element modeling, and statistical modes of variation obtained from sample data. Our method is general, and can be applied to many problems where the goal is to separate out important from unimportant shape variation across a class of objects. In this paper, we focus on the analysis of diseases that affect the shape of brain structures. Because the shape of these structures is affected not only by pathology but also by overall brain shape, disease discrimination is difficult. By modeling the brain's elastic properties, we are able to compensate for some of the nonpathological modes of shape variation. This allows us to experimentally characterize modes of variation that are indicative of disease processes. We apply our technique to magnetic resonance images of the brains of individuals with schizophrenia, Alzheimer's disease, and normal-pressure hydrocephalus, as well as to healthy volunteers. Classification results are presented.

[1] D. Bartelt, C.E. Jordan, E. Strecker, and A.E. James, "Comparison of Ventricular Enlargement and Radiopharmaceutical Retention: A Cisternographic-Pneumoencephalographic Comparison," Radiology, vol. 116, pp. 111-115, July 1975.
[2] C.P. Hughes and M. Gado, "Computed Tomography and Aging of the Brain," Radiology, vol. 139, pp. 391-396, May 1981.
[3] T. El Gammal, M.B. Allen, Jr., B.S. Brooks, and E.K. Mark, "MR Evaluation of Hydrocephalus," Amer. J. Neuroradiology, vol. 8, pp. 591-597, July/Aug. 1987.
[4] C. Wikkelsö, H. Andersson, C. Blomstrand, M. Matousek, and P. Svendsen, "Computed Tomography of the Brain in the Diagnosis of and Prognosis in Normal Pressure Hydrocephalus," Neuroradiology, vol. 31, pp. 160-165, 1989.
[5] M.J. de Leon, A.E. George, B. Reisberg, S.H. Ferris, A. Kluger, L.A. Stylopoulos, J.D. Miller, M.E. La Regina, C. Chen, and J. Cohen, "Alzheimer's Disease: Longitudinal CT Studies of Ventricular Change," Amer. J. Neuroradiology, vol. 10, pp. 371-376, Mar./Apr. 1989.
[6] T. Sandor, M. Albert, J. Stafford, and S. Harpley, "Use of Computerized CT Analysis to Discriminate Between Alzheimer Patients and Normal Control Subjects," Amer. J. Neuroradiology, vol. 9, pp. 1,181-1,187, Nov./Dec. 1988.
[7] M.E. Shenton, R. Kikinis, F.A. Jolesz, S.D. Pollak, M. LeMay, C.G. Wible, H. Hokama, J. Martin, D. Metcalf, M. Coleman, and R.W. McCarley, "Abnormalities of the Left Temporal Lobe and Thought Disorder in Schizophrenia: A Quantitative Magnetic Resonance Imaging Study," New England J. of Medicine, vol. 327, no. 9, pp. 604-612, Aug. 1992.
[8] F. Cendes, F. Andermann, P. Gloor, A. Evans, M. Jones-Gotman, C. Watson, D. Melanson, A. Olivier, T. Peters, I. Lopes-Cendes, and G. Leroux, "MRI Volumetric Measurement of Amygdala and Hippocampus in Temporal Lobe Epilepsy," Neurology, vol. 43, pp. 719-725, Apr. 1993.
[9] B. Peterson, M.A. Riddle, D.J. Cohen, L.D. Katz, J.C. Smith, M.T. Hardin, and J.F. Leckman, "Reduced Basal Ganglia Volumes in Tourette's Syndrome Using Three-Dimensional Reconstruction Techniques From Magnetic Resonance Images," Neurology, vol. 43, pp. 941-949, May 1993.
[10] H.S. Singer, A.L. Reiss, J.E. Brown, E.H. Aylward, B. Shih, E. Chee, E.L. Harris, M.J. Reader, G.A. Chase, R.N. Bryan, and M.B. Denckla, "Volumetric MRI Changes in Basal Ganglia of Children With Tourette's Syndrome," Neurology, vol. 43, pp. 950-956, May 1993.
[11] F. Cendes, F. Andermann, F. Dubeau, P. Gloor, A. Evans, M. Jones-Gotman, A. Olivier, E. Andermann, Y. Robitaille, I. Lopes-Cendes, T. Peters, and D. Melanson, "Early Childhood Prolonged Febrile Convulsions, Atrophy and Sclerosis of Mesial Structures, and Temporal Lobe Epilepsy: An MRI Volumetric Study," Neurology, vol. 43, pp. 1,083-1,087, June 1993
[12] E.H. Aylward, J.D. Henderer, J.C. McArthur, P.D. Brettschneider, G.J. Harris, P.E. Barta, and G.D. Pearlson, "Reduced Basal Ganglia Volumes in HIV-1-Associated Dementia: Results From Quantitative Neuroimaging," Neurology, vol. 43, pp. 2,099-2,104, Oct. 1993.
[13] S.S. Spencer, G. McCarthy, and D.D. Spencer, "Diagnosis of Medial Temporal Lobe Seizure Onset: Relative Specificity and Sensitivity of Quantitative MRI," Neurology, vol. 43, pp. 2,117-2,124, Oct. 1993.
[14] G.D. Cascino, C.R. Jack, Jr., F.W. Sharbrough, P.J. Kelly, and W.R. Marsh, "MRI Assessments of Hippocampal Pathology in Extratemporal Lesional Epilepsy," Neurology, vol. 43, pp. 2,380-2,382, Nov. 1993.
[15] A.M. Murro, Y.D. Park, D.W. King, B.B. Gallagher, J.R. Smith, F. Yaghmai, V. Toro, R.E. Figueroa, D.W. Loring, and W. Littleton, "Seizure Localization in Temporal Lobe Epilepsy: A Comparison of Scalp-Sphenoidal EEG and Volumetric MRI," Neurology, vol. 43, pp. 2,531-2,533, Dec. 1993
[16] H.S. Soininen, K. Partanen, A. Pitkänen, P. Vainio, T. Hänninen, M. Hallikainen, K. Koivisto, and P.J. Riekkinen, Sr., "Volumetric MRI Analysis of the Amygdala and the Hippocampus in Subjects With Age-Associated Memory Impairment: Correlation to Visual and Verbal Memory," Neurology, vol. 44, pp. 1,660-1,668, Sept. 1994.
[17] H. Hokama, M.E. Shenton, P.G. Nestor, R. Kikinis, J.J. Levitt, C.G. Wible, B.F. O'Donnell, D. Metcalf, F.A. Jolesz, and R.W. McCarley, "Caudate, Putamen, and Globus Pallidus Volume in Schizophrenia: A Quantitative MRI Study," unpublished manuscript, 1994.
[18] C.R. Jack, Jr., B. Mokri, E.R. Laws, Jr., O.W. Houser, H.L. Baker, Jr., and R.C. Petersen, "MR Findings in Normal-Pressure Hydrocephalus: Significance and Comparison With Other Forms of Dementia," J. Computer Assisted Tomography, vol. 11, no. 6, pp. 923-931, Nov./Dec. 1987.
[19] A. Pentland and S. Sclaroff, "Closed-Form Solutions for Physically-Based Shape Modeling and Recognition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 13, no. 7, pp. 715-729, July 1991.
[20] S. Sclaroff and A.P. Pentland, "On Modal Modeling for Medical Images: Underconstrained Shape Description and Data Compression," CVPR Workshop Biomedical Image Analysis, June 1994.
[21] T.F. Cootes, "Combining Point Distribution Models With Shape Models Based on Finite Element Analysis," Proc. British Machine Vision Conf., 1994.
[22] M. Matsumae, R. Kikinis, I. Mórocz, A.V. Lorenzo, M.S. Albert, P.M. Black, and F.A. Jolesz, "Intracranial Compartment Volumes in Patients With Enlarged Ventricles Assessed by Magnetic Resonance-Based Image Processing," J. Neurosurgery, vol. 84, pp. 972-981, June 1996.
[23] J.M. Tanner, Fetus Into Man: Physical Growth From Conception to Maturity.Cambridge, Mass.: Harvard Univ. Press, 1990.
[24] J.J. Volpe, Neurology of the Newborn. W.B. Saunders Company, 1995, 3rd ed.
[25] M. Chan, C. Ward, D. Schneider, and S. Adams, "Relative Importance of Skull Deformation," Proc. Biomechanics Symp., pp. 157-160, 1981.
[26] C. Chu, M. Lin, and M. Lee, "Finite Element Analysis of Cerebral Contusion," J. Biomechanics, vol. 27, no. 2, pp. 187-194, 1994.
[27] W. Goldsmith, "Biomechanics, Its Foundations and Objectives," Y.C. Fung, N. Perrone, and M. Anliker, eds., Biomechanics of Head Injury.Englewood Cliffs, N.J.: Prentice Hall, Inc., 1972.
[28] J.S. Ruan, T. Khalil, and A.I. King, "Dynamic Response of the Human Head to Impact by Three-Dimensional Finite Element Analysis," J. Biomechanical Eng., vol. 116, pp. 44-50, 1994.
[29] R. Bajcsy and S. Kovacic, "Multiresolution Elastic Matching," Computer Vision Graphics Image Processing, vol. 46, pp. 1-21, 1989.
[30] C.E. Christensen, M.I. Miller, and M. Vannier, "A 3D Deformable Magnetic Resonance Textbook Based on Elasticity," Proc. AAAI Symp. Applications of Computer Vision in Medical Image Processing, Mar. 1994.
[31] D.L. Collins, T.M. Peters, W. Dai, and A.C. Evans, "Model Based Segmentation of Individual Brain Structures From MRI Data," SPIE: Visualization in Biomedical Computing, 1992, pp. 10-23.
[32] K. Bathe, Finite Element Procedures in Engineering Analysis.Englewood Cliffs, N.J.: Prentice Hall, Inc., 1982.
[33] H.E. Cline, W.E. Lorensen, R. Kikinis, and F.A. Jolesz, "3D Segmentation of MR Images of the Head Using Probability and Connectivity," J. Computer Assisted Tomography, vol. 14, no. 6, pp. 1,037-1,045, 1990.
[34] G. Ettinger, E. Grimson, and T. Lozano-Perez, "Automatic Registration for Multiple Sclerosis Change Detection," CVPR Workshop Biomedical Image Analysis, June 1994.
[35] D. Huttenlocher and S. Ullman, "Recognizing Solid Objects by Alignment With an Image," Int'l J. Computer Vision, vol. 5, no. 2, pp. 195-212, 1992.
[36] S. Sclaroff and A.P. Pentland, Modal Matching for Correspondence and Recognition IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 6, pp. 545-561, 1995.
[37] G. Wolberg, Digital Image Warping.Los Alamitos, Calif.: IEEE CS Press, 1990.
[38] G. Strang, Introduction to Applied Mathematics. Wellesley-Cambridge Press, 1986.
[39] I.A. Essa, S. Sclaroff, and A.P. Pentland, "Physically-Based Modeling for Graphics and Vision," R. Martin, ed., Directions in Geometric Computing 1992. Information Geometers, 1992.
[40] C.W. Therrien Decision, Estimation, and Classification: An Introduction to Pattern Recognition and Related Topics. New York: John Wiley&Sons, 1989.
[41] K. Fukunaga Introduction to Statistical Pattern Recognition. New York: Academic Press, 1990.
[42] M. Matsumae, R. Kikinis, I. Mórocz, A.V. Lorenzo, T. Sándor, M.S. Albert, P.M. Black, and F.A. Jolesz, "Age-Related Changes in Intracranial Compartment Volumes in Normal Adults Assessed by Magnetic Resonance Imaging," J. Neurosurgery, vol. 84, pp. 982-991, June 1996.
[43] D.L. Collins, P. Neelin, T.M. Peters, and A.C. Evans, "Automatic 3D Intersubject Registration of MR Volumetric Data in Standardized Talairach Space," J. Computer Assisted Tomography, vol. 18, no. 2, pp. 192-205, 1994.
[44] D.L. Collins, T.M. Peters, and A.C. Evans, "An Automated 3D Non-Linear Image Deformation Procedure for Determination of Gross Morphometric Variability in Human Brain," SPIE: Visualization in Biomedical Computing, 1994, pp. 180-190.
[45] C.E. Christensen, R.D. Rabbitt, and M.I. Miller, "3D Brain Mapping Using a Deformable Neuroanatomy," Physics in Medicine and Biology, vol. 39, pp. 609-618, 1994.
[46] R. Szeliski Bayesian Modeling of Uncertainty in Low-Level Vision, Kluwer Academic Publishers, 1989.
[47] T.E. Boult, S.D. Fenster, and T. O'Donnell, "Physics in a Fantasy World vs Robust Statistical Estimation," Proc. NSF Workshop 3D Object Recognition, New York, Nov. 1994.
[48] D. Terzopoulos, A. Witkin, and M. Kass, "Symmetry-Seeking Models and 3D Object Reconstruction," Int'l J. Computer Vision, vol. 1, pp. 211-221, 1987.
[49] L. Cohen, "On Active Contour Models and Balloons," Computer Vision, Graphics and Image Processing: Image Understanding, vol. 53, no. 2, pp. 211-218, 1991.
[50] L.H. Staib and J.S. Duncan, “Boundary Finding with Parametrically Deformable Models,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 14, no. 11, pp. 1,061-1,075, Nov. 1992.
[51] G. Székely, A. Kelemen, C. Brechbühler, and G. Gerig, "Segmentation of 3D Objects From MRI Volume Data Using Constrained Elastic Deformations of Flexible Fourier Surface Models," unpublished manuscript, 1995.
[52] C. Brechbühler, G. Gerig, and O. Kübler, "Parametrization of Closed Surfaces for 3-D Shape Description," Computer Vision, Graphics and Image Processing: Image Understanding, to appear.
[53] L. Bookstein, "Principal Warps: Thin-Plate Splines and the Decomposition of Deformations," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 11, no. 6, pp. 567-585, June 1989.
[54] F.L. Bookstein and W.D.K. Green, "The Biometrics of Landmarks and Edgels: A New Geometry of Prior Knowledge for Medical Image Understanding," Proc. AAAI Symp. Applications of Computer Vision in Medical Image Processing, pp. 134-137, Mar. 1994.
[55] M. Turk and A.P. Pentland, "Eigenfaces for Recognition," J. Cognitive Neuroscience, vol. 3, no. 1, pp. 71-86, 1991.
[56] T.F. Cootes, D.H. Cooper, C.J. Taylor, and J. Graham, "Trainable Method of Parametric Shape Description," Image and Vision Computing, vol. 10, no. 5, pp. 289-294, June 1992.
[57] A. Hill, T.F. Cootes, and C.J. Taylor, "A Generic System for Image Interpretation Using Flexible Templates," Proc. British Machine Vision Conf., pp. 276-285, 1992.
[58] J. Martin, A.P. Pentland, and R. Kikinis, "Shape Analysis of Brain Structures Using Physical and Experimental Modes," Proc. CVPR, pp. 752-755, 1994.
[59] S.C. Zhu and A.L. Yuille, "Forms: A Flexible Object Recognition and Modelling System," Harvard Robotics Laboratory, no. 94-1, 1993.
[60] S. Sclaroff, "Deformable Prototypes for Encoding Shape Categories in Image Databases," Pattern Recognition, vol. 30, no. 4, pp. 627-642, Apr. 1997,

Index Terms:
Medical image analysis, shape description, deformable models, finite element method, modal analysis, principal component analysis, eigenanalysis, clustering.
Citation:
John Martin, Alex Pentland, Stan Sclaroff, Ron Kikinis, "Characterization of Neuropathological Shape Deformations," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 20, no. 2, pp. 97-112, Feb. 1998, doi:10.1109/34.659928
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