28 – Subpopulation Brain Atlases

This chapter describes a mathematical framework to create population-based brain atlases. This emerging field of medical imaging is already uncovering fundamental features of brain structure and function in health and disease. Brain data are so complex and variable that it is essential to rely on brain atlases, templates, and anatomical models in large-scale investigations. Deformable and probabilistic atlases can warehouse population-based data in a common three-dimensional reference frame. They capture anatomic variability using a variety of mathematical approaches. The interest in cortical anatomy, in particular, has motivated specialized approaches to analyze its structure. Dynamic and genetic brain maps, among other new techniques, are beginning to reveal how the brain develops, how diseases progress, and how genes affect complex patterns of brain structure. A key advantage of a population-based brain atlas is that it can be stratified, according to genetic, demographic, or therapeutic criteria, to reflect a more constrained subset of the population. Differences in a diseased population, or one with known genetic risk, can be visualized by reference to a normative standard. Normative atlases based on young normals can store a rich variety of structural and functional data.

[1]  Arthur W. Toga,et al.  Brain Image Analysis and Atlas Construction , 2000 .

[2]  R. Goebel A fast automated method for flattening cortical surfaces , 2000, NeuroImage.

[3]  Michael I. Miller,et al.  Landmark matching on brain surfaces via large deformation diffeomorphisms on the sphere , 1999, Medical Imaging.

[4]  Richard M. Leahy,et al.  Automated graph-based analysis and correction of cortical volume topology , 2001, IEEE Transactions on Medical Imaging.

[5]  Hiromasa Suzuki,et al.  3D geometric metamorphosis based on harmonic map , 1997, Proceedings The Fifth Pacific Conference on Computer Graphics and Applications.

[6]  G. Schaltenbrand,et al.  Atlas for Stereotaxy of the Human Brain , 1977 .

[7]  S. Joshi,et al.  Early DAT is distinguished from aging by high-dimensional mapping of the hippocampus , 2000, Neurology.

[8]  Jean Meunier,et al.  Average Brain Models: A Convergence Study , 2000, Comput. Vis. Image Underst..

[9]  A. Toga,et al.  Three-Dimensional Statistical Analysis of Sulcal Variability in the Human Brain , 1996, The Journal of Neuroscience.

[10]  D. Falconer,et al.  Introduction to Quantitative Genetics. , 1962 .

[11]  Martin Styner,et al.  Shape versus Size: Improved Understanding of the Morphology of Brain Structures , 2001, MICCAI.

[12]  J. Rapoport,et al.  Mapping adolescent brain change reveals dynamic wave of accelerated gray matter loss in very early-onset schizophrenia , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Adolf Pfefferbaum,et al.  Brain structure in men remains highly heritable in the seventh and eighth decades of life☆ , 2000, Neurobiology of Aging.

[14]  Paul M. Thompson,et al.  Accelerated brain growth and cortical gray matter thinning are inversely related during post adolescent frontal lobe maturation , 2001, NeuroImage.

[15]  Paul A. Viola,et al.  Alignment by Maximization of Mutual Information , 1995, Proceedings of IEEE International Conference on Computer Vision.

[16]  John Oprea,et al.  The Mathematics of Soap Films: Explorations with Maple® , 2000 .

[17]  Paul M. Thompson,et al.  Construction, testing, and validation of a sub-volume probabilistic human brain atlas for the elderly and demented populations , 2000, NeuroImage.

[18]  R. Woods,et al.  Mathematical/computational challenges in creating deformable and probabilistic atlases of the human brain , 2000, Human brain mapping.

[19]  J. Haxby,et al.  Longitudinal changes in lateral ventricular volume in Datients with dementia of the Alzheimer type , 1992, Neurology.

[20]  Karl J. Friston,et al.  A Voxel-Based Morphometric Study of Ageing in 465 Normal Adult Human Brains , 2001, NeuroImage.

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

[22]  Michael I. Miller,et al.  On The Geometry and Shape of Brain Sub-Manifolds , 1997, Int. J. Pattern Recognit. Artif. Intell..

[23]  J. Mazziotta,et al.  Cerebral metabolic and cognitive decline in persons at genetic risk for Alzheimer's disease. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[24]  Ron Kimmel,et al.  A general framework for low level vision , 1998, IEEE Trans. Image Process..

[25]  Paul M. Thompson,et al.  A probabalistic atlas of cortical gray matter changes in monozogotic twins discordant for schizophrenia , 2001, NeuroImage.

[26]  Paul M. Thompson,et al.  A surface-based technique for warping three-dimensional images of the brain , 1996, IEEE Trans. Medical Imaging.

[27]  J C Mazziotta,et al.  Automated image registration: II. Intersubject validation of linear and nonlinear models. , 1998, Journal of computer assisted tomography.

[28]  Jerry L. Prince,et al.  Graph-Based Topology Correction for Brain Cortex Segmentation , 2001, IPMI.

[29]  Isaac N. Bankman,et al.  Handbook of Medical Imaging. Processing and Analysis , 2002 .

[30]  Richard M. Leahy,et al.  Topological refinement of volumetric data , 1999, Medical Imaging.

[31]  G. Paxinos,et al.  Atlas of the Human Brain , 2000 .

[32]  A Olivier,et al.  Electrophysiological analysis of human neocortex in vitro: experimental techniques and methodological approaches. , 1991, The Canadian journal of neurological sciences. Le journal canadien des sciences neurologiques.

[33]  I. Aharon,et al.  Three‐dimensional mapping of cortical thickness using Laplace's Equation , 2000, Human brain mapping.

[34]  Christopher J. Taylor,et al.  Building 3D sulcal models using local geometry , 2001, Medical Image Anal..

[35]  Robert J. Adler,et al.  Euler characteristics for Gaussian fields on manifolds , 2003 .

[36]  Hervé Delingette,et al.  Automatic Detection and Segmentation of Evolving Processes in 3D Medical Images: Application to Multiple Sclerosis , 1999, IPMI.

[37]  R. Deriche,et al.  Regularization and Scale Space , 1994 .

[38]  Alan C. Evans,et al.  Growth patterns in the developing brain detected by using continuum mechanical tensor maps , 2000, Nature.

[39]  B Johansson,et al.  Substantial genetic influence on cognitive abilities in twins 80 or more years old. , 1997, Science.

[40]  Ulrich Pinkall,et al.  Computing Discrete Minimal Surfaces and Their Conjugates , 1993, Exp. Math..

[41]  Paul A. Viola,et al.  Multi-modal volume registration by maximization of mutual information , 1996, Medical Image Anal..

[42]  M. Buchsbaum,et al.  Deformation-Based Morphometry and Its Relation to Conventional Volumetry of Brain Lateral Ventricles in MRI , 2001, NeuroImage.

[43]  J C Loehlin,et al.  Partitioning environmental and genetic contributions to behavioral development. , 1989, The American psychologist.

[44]  Gabriele Lohmann,et al.  Automatic labelling of the human cortical surface using sulcal basins , 2000, Medical Image Anal..

[45]  Karl Zilles,et al.  The Developing European Computerized Human Brain Database for All Imaging Modalities , 1996, NeuroImage.

[46]  Robert M. Kessler,et al.  Intersubject brain image registration using both cortical and subcortical landmarks , 1995, Medical Imaging.

[47]  Alex Pentland,et al.  Characterization of Neuropathological Shape Deformations , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[48]  Theo G. M. van Erp,et al.  A Twin Study of Genetic Contributions to Hippocampal Morphology in Schizophrenia , 2002, Neurobiology of Disease.

[49]  C. Davatzikos Spatial normalization of 3D brain images using deformable models. , 1996, Journal of computer assisted tomography.

[50]  Jean-Philippe Thirion,et al.  Deformation Analysis to Detect and Quantify Active Lesions in 3D Medical Image Sequences , 1999, IEEE Trans. Medical Imaging.

[51]  A. Toga,et al.  Mapping Continued Brain Growth and Gray Matter Density Reduction in Dorsal Frontal Cortex: Inverse Relationships during Postadolescent Brain Maturation , 2001, The Journal of Neuroscience.

[52]  John Suckling,et al.  Global, voxel, and cluster tests, by theory and permutation, for a difference between two groups of structural MR images of the brain , 1999, IEEE Transactions on Medical Imaging.

[53]  A Pommert,et al.  A computerized three-dimensional atlas of the human skull and brain. , 1993, AJNR. American journal of neuroradiology.

[54]  David Metcalf,et al.  A Digital Brain Atlas for Surgical Planning, Model-Driven Segmentation, and Teaching , 1996, IEEE Trans. Vis. Comput. Graph..

[55]  J W Sundsten,et al.  The digital anatomist information system and its use in the generation and delivery of Web-based anatomy atlases. , 1997, Computers and biomedical research, an international journal.

[56]  R. Turner,et al.  Echo‐planar imaging of diffusion and perfusion , 1991, Magnetic resonance in medicine.

[57]  Johan Montagnat,et al.  Automated Estimation of Brain Volume in Multiple Sclerosis with BICCR , 2001, IPMI.

[58]  Paul M. Thompson,et al.  The role of image registration in brain mapping , 2001, Image Vis. Comput..

[59]  Karl J. Friston,et al.  Robust Smoothness Estimation in Statistical Parametric Maps Using Standardized Residuals from the General Linear Model , 1999, NeuroImage.

[60]  D. Le Bihan,et al.  Functional MRI of the brain principles, applications and limitations. , 1996 .

[61]  R. Bajcsy,et al.  Elastically Deforming 3D Atlas to Match Anatomical Brain Images , 1993, Journal of computer assisted tomography.

[62]  Paul M. Thompson,et al.  An Introduction to Maps and Atlases of the Brain , 2000 .

[63]  A. Toga,et al.  Mapping morphology of the corpus callosum in schizophrenia. , 2000, Cerebral cortex.

[64]  G. Alexander,et al.  Declining brain activity in cognitively normal apolipoprotein E ɛ4 heterozygotes: A foundation for using positron emission tomography to efficiently test treatments to prevent Alzheimer's disease , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[65]  Paul Thompson,et al.  Mapping tumor growth rates in patients with malignant gliomas: A test of two algorithms , 2000, NeuroImage.

[66]  J C Mazziotta,et al.  Mapping Therapeutic Response in a Patient with Malignant Glioma , 2001, Journal of computer assisted tomography.

[67]  Paul M. Thompson,et al.  Detection, visualization and animation of abnormal anatomic structure with a deformable probabilistic brain atlas based on random vector field transformations , 1997, Medical Image Anal..

[68]  J Ashburner,et al.  Computational neuroanatomy: new perspectives for neuroradiology. , 2001, Revue neurologique.

[69]  Michael C. Neale,et al.  Methodology for Genetic Studies of Twins and Families , 1992 .

[70]  G H Whitehouse,et al.  Automatic analysis of cerebral atrophy. , 1997, Magnetic resonance imaging.

[71]  Xiao Han,et al.  Statistical Study on Cortical Sulci of Human Brains , 2001, IPMI.

[72]  A. Janke,et al.  4D deformation modeling of cortical disease progression in Alzheimer's dementia , 2001, Magnetic resonance in medicine.

[73]  J B Woodward,et al.  The Functional Magnetic Resonance Imaging Data Center (fMRIDC): the challenges and rewards of large-scale databasing of neuroimaging studies. , 2001, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[74]  M W Vannier,et al.  Three-dimensional hippocampal MR morphometry with high-dimensional transformation of a neuroanatomic atlas. , 1997, Radiology.

[75]  L. Skovgaard NONLINEAR MODELS FOR REPEATED MEASUREMENT DATA. , 1996 .

[76]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[77]  J. Lieberman,et al.  Neuropsychology of first-episode schizophrenia: initial characterization and clinical correlates. , 2000, The American journal of psychiatry.

[78]  J. Ehrhardt,et al.  Thalamic abnormalities in schizophrenia visualized through magnetic resonance image averaging. , 1994, Science.

[79]  L. Younes,et al.  On the metrics and euler-lagrange equations of computational anatomy. , 2002, Annual review of biomedical engineering.

[80]  A. Dale,et al.  High‐resolution intersubject averaging and a coordinate system for the cortical surface , 1999, Human brain mapping.

[81]  Michael J. Ackerman,et al.  Technical Milestone: The visible Human Male: A Technical Report , 1996, J. Am. Medical Informatics Assoc..

[82]  Alan C. Evans,et al.  Automatic Quantification of Multiple Sclerosis Lesion Volume Using Stereotaxic Space , 1996, VBC.

[83]  Nick C Fox,et al.  Modeling brain deformations in Alzheimer disease by fluid registration of serial 3D MR images. , 1998, Journal of computer assisted tomography.

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

[85]  Karl J. Friston,et al.  Human Brain Function , 1997 .

[86]  M. W. Vannier,et al.  Mapping the Visible Human Brain to the Talairach Atlas , 1998, NeuroImage.

[87]  J C Mazziotta,et al.  Creation and use of a Talairach‐compatible atlas for accurate, automated, nonlinear intersubject registration, and analysis of functional imaging data , 1999, Human brain mapping.

[88]  U. Grenander,et al.  Computational anatomy: an emerging discipline , 1998 .

[89]  Jay N. Giedd,et al.  The relationship between brain morphometry and cognitive abilities in healthy pediatric monozygotic twins , 2001, NeuroImage.

[90]  R. Thatcher Functional neuroimaging : technical foundations , 1994 .

[91]  James S. Duncan,et al.  Boundary Finding with Parametrically Deformable Models , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[92]  H. Damasio Human Brain Anatomy in Computerized Images , 1995 .

[93]  N. Makris,et al.  Gyri of the human neocortex: an MRI-based analysis of volume and variance. , 1998, Cerebral cortex.

[94]  F. Alouges A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case , 1997 .

[95]  D. Louis Collins,et al.  Automatic 3‐D model‐based neuroanatomical segmentation , 1995 .

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

[97]  A. Khotanzad,et al.  A physics-based coordinate transformation for 3-D image matching , 1997, IEEE Transactions on Medical Imaging.

[98]  K. Worsley,et al.  Diffusion smoothing on the cortical surface , 2001, NeuroImage.

[99]  Christian Barillot,et al.  Bayesian approach to the brain image matching problem , 1995, Medical Imaging.

[100]  P. Eslinger,et al.  Heritability of cognitive performance in aging twins. The National Heart, Lung, and Blood Institute Twin Study. , 1990, Archives of neurology.

[101]  Gary E. Christensen,et al.  Synthesizing average 3D anatomical shapes using deformable templates , 1999, Medical Imaging.

[102]  R E Jacobs,et al.  Magnetic resonance microscopy of embryonic cell lineages and movements. , 1994, Science.

[103]  Alejandro F. Frangi,et al.  Automatic 3D ASM Construction via Atlas-Based Landmarking and Volumetric Elastic Registration , 2001, IPMI.

[104]  J. Eells,et al.  Harmonic Mappings of Riemannian Manifolds , 1964 .

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

[106]  Allen D. Roses,et al.  A model for susceptibility polymorphisms for complex diseases: apolipoprotein E and Alzheimer disease , 1997, Neurogenetics.

[107]  Jerry L. Prince,et al.  Watersheds on the cortical surface for automated sulcal segmentation , 2000, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis. MMBIA-2000 (Cat. No.PR00737).

[108]  A. Schleicher,et al.  The Somatosensory Cortex of Human: Cytoarchitecture and Regional Distributions of Receptor-Binding Sites , 1997, NeuroImage.

[109]  J. Rapoport,et al.  Variability of human brain structure size: ages 4–20 years , 1997, Psychiatry Research: Neuroimaging.

[110]  Smith Ge,et al.  A New Topographical Survey of the Human Cerebral Cortex, being an Account of the Distribution of the Anatomically Distinct Cortical Areas and their Relationship to the Cerebral Sulci. , 1907 .

[111]  J. Kaprio,et al.  Change in cohabitation and intrapair similarity of monozygotic (MZ) cotwins for alcohol use, extraversion, and neuroticism , 1990, Behavior genetics.

[112]  Jerry L Prince,et al.  A computerized approach for morphological analysis of the corpus callosum. , 1996, Journal of computer assisted tomography.

[113]  P. Matthews,et al.  Normalized Accurate Measurement of Longitudinal Brain Change , 2001, Journal of computer assisted tomography.

[114]  Arthur W. Toga,et al.  A Probabilistic Atlas of the Human Brain: Theory and Rationale for Its Development The International Consortium for Brain Mapping (ICBM) , 1995, NeuroImage.

[115]  A. Toga,et al.  Three-dimensional mapping of temporo-limbic regions and the lateral ventricles in schizophrenia: gender effects , 2001, Biological Psychiatry.

[116]  A. Toga,et al.  Cortical variability and asymmetry in normal aging and Alzheimer's disease. , 1998, Cerebral cortex.

[117]  Arthur W. Toga,et al.  The Evolution of Optical Signals in Human and Rodent Cortex , 1996, NeuroImage.

[118]  Karl J. Friston,et al.  Incorporating Prior Knowledge into Image Registration , 1997, NeuroImage.

[119]  Paul M. Thompson,et al.  An Introduction to Brain Warping , 1999 .

[120]  小野 道夫,et al.  Atlas of the Cerebral Sulci , 1990 .

[121]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[122]  J. Ashburner,et al.  Nonlinear spatial normalization using basis functions , 1999, Human brain mapping.

[123]  Karl J. Friston,et al.  Voxel-Based Morphometry—The Methods , 2000, NeuroImage.

[124]  K. Amunts,et al.  Advances in cytoarchitectonic mapping of the human cerebral cortex. , 2001, Neuroimaging clinics of North America.

[125]  Karl J. Friston,et al.  Localisation in PET Images: Direct Fitting of the Intercommissural (AC—PC) Line , 1989, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[126]  P. Thompson,et al.  Three-dimensional mapping of gyral shape and cortical surface asymmetries in schizophrenia: gender effects. , 2001, The American journal of psychiatry.

[127]  P M Thompson,et al.  Unfolding the human hippocampus with high resolution structural and functional MRI , 2001, The Anatomical record.

[128]  A. Toga,et al.  Mapping cortical asymmetry and complexity patterns in normal children , 2001, Psychiatry Research: Neuroimaging.

[129]  Karl J. Friston,et al.  A Voxel-Based Method for the Statistical Analysis of Gray and White Matter Density Applied to Schizophrenia , 1995, NeuroImage.

[130]  Abraham Z. Snyder,et al.  Surface-Based Analyses of the Human Cerebral Cortex , 1999 .

[131]  Paul M. Thompson,et al.  A framework for computational anatomy , 2002 .

[132]  S. F. Witelson Hand and sex differences in the isthmus and genu of the human corpus callosum. A postmortem morphological study. , 1989, Brain : a journal of neurology.

[133]  F. Collins,et al.  Contemplating the end of the beginning. , 2001, Genome research.

[134]  G. McCarthy,et al.  Human Brain Mapping 6:1–13(1998) � Functional MRI Studies of Auditory Comprehension , 2022 .

[135]  J D Watson,et al.  Nonparametric Analysis of Statistic Images from Functional Mapping Experiments , 1996, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[136]  Alan C. Evans,et al.  Structural asymmetries in the human brain: a voxel-based statistical analysis of 142 MRI scans. , 2001, Cerebral cortex.

[137]  Jean-Baptiste Poline,et al.  Scale space searches in cortical surface analysis of fMRI data , 2001, NeuroImage.

[138]  N. Ayache,et al.  Fast Non Rigid Matching by Gradient Descent: Study and Improvements of the "Demons" Algorithm , 1999 .

[139]  E H Herskovits,et al.  A brain image database for structure/function analysis. , 1998, AJNR. American journal of neuroradiology.

[140]  Jay N Giedd,et al.  Childhood-onset schizophrenia: progressive brain changes during adolescence , 1999, Biological Psychiatry.

[141]  R. Woods,et al.  Mapping Histology to Metabolism: Coregistration of Stained Whole-Brain Sections to Premortem PET in Alzheimer's Disease , 1997, NeuroImage.

[142]  A. Toga,et al.  High-Resolution Random Mesh Algorithms for Creating a Probabilistic 3D Surface Atlas of the Human Brain , 1996, NeuroImage.

[143]  Christos Davatzikos,et al.  Finding parametric representations of the cortical sulci using an active contour model , 1997, Medical Image Anal..

[144]  Alan C. Evans,et al.  A Unified Statistical Approach to Deformation-Based Morphometry , 2001, NeuroImage.

[145]  D. Weinberger,et al.  Genetic variability of human brain size and cortical gyral patterns. , 1997, Brain : a journal of neurology.

[146]  W. L. Burke Applied Differential Geometry , 1985 .

[147]  G. Molenberghs,et al.  Linear Mixed Models for Longitudinal Data , 2001 .

[148]  Paul M. Thompson,et al.  Extracting and Representing the Cortical Sulci , 1999, IEEE Computer Graphics and Applications.

[149]  Martin Styner,et al.  Medial Models Incorporating Object Variability for 3D Shape Analysis , 2001, IPMI.

[150]  Isabelle Bloch,et al.  Automatic construction of an attributed relational graph representing the cortex topography using homotopic transformations , 1994, Optics & Photonics.

[151]  M. Gazzaniga,et al.  Magnetic resonance imaging morphology of the corpus callosum in monozygotic twins , 1989, Annals of neurology.

[152]  Norbert Schuff,et al.  Detecting Spatially Consistent Structural Differences in Alzheimer's and Fronto Temporal Dementia Using Deformation Morphometry , 2001, MICCAI.

[153]  H. Freund,et al.  Variation of perisylvian and calcarine anatomic landmarks within stereotaxic proportional coordinates. , 1990, AJNR. American journal of neuroradiology.

[154]  J W Sundsten,et al.  Videodisc animation of 3D computer reconstructions of the human brain. , 1991, The Journal of biocommunication.

[155]  R. Woods,et al.  Cortical change in Alzheimer's disease detected with a disease-specific population-based brain atlas. , 2001, Cerebral cortex.

[156]  Michel Desvignes,et al.  Detection and Statistical Analysis of Human Cortical Sulci , 1999, NeuroImage.

[157]  Paul M. Thompson,et al.  Multimodal Brain Atlases , 1998 .

[158]  M. Raichle,et al.  A Stereotactic Method of Anatomical Localization for Positron Emission Tomography , 1985, Journal of computer assisted tomography.

[159]  M. Solaiyappan,et al.  Diffusion tensor imaging of the developing mouse brain , 2001, Magnetic resonance in medicine.

[160]  R. Kikinis,et al.  The evolution of multiple sclerosis lesions on serial MR. , 1995, AJNR. American journal of neuroradiology.

[161]  N Lange Statistical approaches to human brain mapping by functional magnetic resonance imaging. , 1996, Statistics in medicine.

[162]  K. Brodmann Vergleichende Lokalisationslehre der Großhirnrinde : in ihren Prinzipien dargestellt auf Grund des Zellenbaues , 1985 .

[163]  Karl J. Friston,et al.  Estimating Smoothness in Statistical Parametric Maps: Variability of p Values , 1995, Journal of computer assisted tomography.

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

[165]  Irving I. Gottesman,et al.  Twins: En Route to QTLs for Cognition , 1997, Science.

[166]  A W Toga,et al.  Analyzing functional brain images in a probabilistic atlas: a validation of subvolume thresholding. , 2000, Journal of computer assisted tomography.

[167]  W. Eric L. Grimson,et al.  Small Sample Size Learning for Shape Analysis of Anatomical Structures , 2000, MICCAI.

[168]  P T Fox,et al.  The growth of human brain mapping , 1997, Human brain mapping.

[169]  A. Toga,et al.  In vivo evidence for post-adolescent brain maturation in frontal and striatal regions , 1999, Nature Neuroscience.

[170]  R. Kikinis,et al.  Nonlinear Registration and Template-Driven Segmentation , 1999 .

[171]  M. Torrens Co-Planar Stereotaxic Atlas of the Human Brain—3-Dimensional Proportional System: An Approach to Cerebral Imaging, J. Talairach, P. Tournoux. Georg Thieme Verlag, New York (1988), 122 pp., 130 figs. DM 268 , 1990 .

[172]  J L Lancaster,et al.  Automated Talairach Atlas labels for functional brain mapping , 2000, Human brain mapping.

[173]  J L Rapoport,et al.  Childhood-Onset Schizophrenia: Progressive Ventricular Change During Adolescence , 1997 .

[174]  J. Mazziotta,et al.  Regional Spatial Normalization: Toward an Optimal Target , 2001, Journal of computer assisted tomography.

[175]  J. C. Principe,et al.  3-D computer animation of electrophysiological responses , 1992, Journal of Neuroscience Methods.

[176]  K. Worsley,et al.  The detection of local shape changes via the geometry of Hotelling's $T^2$ fields , 1999 .

[177]  Alan C. Evans,et al.  Measurement of Cortical Thickness Using an Automated 3-D Algorithm: A Validation Study , 2001, NeuroImage.

[178]  Paul Dupuis,et al.  Variational problems on ows of di eomorphisms for image matching , 1998 .

[179]  Gérard Subsol,et al.  Statistical Analysis of Dissymmetry in Volumetric Medical Images , 1997 .

[180]  Lawrence H. Staib,et al.  Boundary finding with correspondence using statistical shape models , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[181]  J. Rademacher,et al.  Variability and asymmetry in the human precentral motor system. A cytoarchitectonic and myeloarchitectonic brain mapping study. , 2001, Brain : a journal of neurology.

[182]  J. Régis Anatomie sulcale profonde et cartographie fonctionnelle du cortex cerebral , 1994 .

[183]  J C Mazziotta,et al.  Mapping biochemistry to metabolism: FDG-PET and amyloid burden in Alzheimer's disease. , 1999, Neuroreport.

[184]  L. J. Hardies,et al.  An Optimized Individual Target Brain in the Talairach Coordinate System , 2002, NeuroImage.

[185]  R. Kahn,et al.  Quantitative genetic modeling of variation in human brain morphology. , 2001, Cerebral cortex.

[186]  Philip N. Klein,et al.  Constructing 2D curve atlases , 2000, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis. MMBIA-2000 (Cat. No.PR00737).

[187]  R. Kikinis,et al.  Temporal lobe sulco-gyral pattern anomalies in schizophrenia: an in vivo MR three-dimensional surface rendering study , 1994, Neuroscience Letters.

[188]  T. Greitz,et al.  A computerized brain atlas: construction, anatomical content, and some applications. , 1991, Journal of computer assisted tomography.

[189]  Alan C. Evans,et al.  Detecting changes in nonisotropic images , 1999, Human brain mapping.

[190]  Arthur W. Toga,et al.  A graphical interoperable processing pipeline , 2001, NeuroImage.

[191]  G. Huiskamp Difference formulas for the surface Laplacian on a triangulated surface , 1991 .

[192]  Alan C. Evans,et al.  Structural maturation of neural pathways in children and adolescents: in vivo study. , 1999, Science.

[193]  Robert Plomin,et al.  LISREL modeling: Genetic and environmental influences on IQ revisited , 1990 .

[194]  D. Poxton,et al.  Detecting Asymmetries in Hippocampal Shape and Receptor Distribution using Statistical Appearance Models and Linear Discriminant Analysis , 1998, BMVC.

[195]  Alan C. Evans,et al.  Three-Dimensional MRI Atlas of the Human Cerebellum in Proportional Stereotaxic Space , 1999, NeuroImage.

[196]  Alan C. Evans,et al.  Brain development during childhood and adolescence: a longitudinal MRI study , 1999, Nature Neuroscience.

[197]  John H. R. Maunsell,et al.  Hierarchical organization and functional streams in the visual cortex , 1983, Trends in Neurosciences.

[198]  Peter Lorenzen,et al.  Tumor-induced structural and radiometric asymmetry in brain images , 2001, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA 2001).

[199]  Ron Kikinis,et al.  Conformal Geometry and Brain Flattening , 1999, MICCAI.

[200]  A W Toga,et al.  Maps of the Brain , 2001, The Anatomical record.

[201]  C. Rorden,et al.  Stereotaxic display of brain lesions. , 2000, Behavioural neurology.

[202]  A. Galaburda,et al.  Topographical variation of the human primary cortices: implications for neuroimaging, brain mapping, and neurobiology. , 1993, Cerebral cortex.

[203]  H. Duvernoy The Human Brain , 1999, Springer Vienna.

[204]  T. Sejnowski,et al.  Independent component analysis of fMRI data: Examining the assumptions , 1998, Human brain mapping.

[205]  William E. Lorensen,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[206]  Michael I. Miller,et al.  Hierarchical brain mapping via a generalized Dirichlet solution for mapping brain manifolds , 1995, Optics & Photonics.

[207]  Robert Plomin,et al.  Genetics and Intelligence: What's New?. , 1997 .

[208]  Bruce H. McCormick,et al.  Finite element decomposition of human neocortex , 1998 .

[209]  Morten Bro-Nielsen,et al.  Fast Fluid Registration of Medical Images , 1996, VBC.

[210]  P. Lauterbur,et al.  Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance , 1973, Nature.

[211]  G. Hounsfield Computerized transverse axial scanning (tomography): Part I. Description of system. 1973. , 1973, The British journal of radiology.

[212]  Karl J. Friston Testing for anatomically specified regional effects , 1997, Human brain mapping.

[213]  J. Mazziotta,et al.  Rapid Automated Algorithm for Aligning and Reslicing PET Images , 1992, Journal of computer assisted tomography.

[214]  Alan C. Evans,et al.  Searching scale space for activation in PET images , 1996, Human brain mapping.

[215]  Albert Einstein,et al.  Covariance Properties of the Field Equations of the Theory of Gravitation Based on the Generalized Theory of Relativity , 1914 .

[216]  M W Feldman,et al.  Twin studies, heritability, and intelligence. , 1997, Science.

[217]  M. Mintun,et al.  Enhanced Detection of Focal Brain Responses Using Intersubject Averaging and Change-Distribution Analysis of Subtracted PET Images , 1988, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[218]  Paul M. Thompson,et al.  ELASTIC IMAGE REGISTRATION AND PATHOLOGY DETECTION , 1999 .

[219]  Stephen H. Koslow,et al.  Neuroinformatics: Opportunities across Disciplinary and National Borders , 1996, NeuroImage.

[220]  U. Grenander,et al.  Hippocampal morphometry in schizophrenia by high dimensional brain mapping. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[221]  M. Miller,et al.  Statistical Analysis of Hippocampal Asymmetry in Schizophrenia , 2001, NeuroImage.

[222]  Rainer Goebel,et al.  An Efficient Algorithm for Topologically Correct Segmentation of the Cortical Sheet in Anatomical MR Volumes , 2001, NeuroImage.

[223]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[224]  E. Strauss,et al.  The neurobiological basis of lateralized cerebral function. A review. , 1983, Human neurobiology.

[225]  Fred L. Bookstein,et al.  Landmark methods for forms without landmarks: morphometrics of group differences in outline shape , 1997, Medical Image Anal..

[226]  A. Toga,et al.  Detection and mapping of abnormal brain structure with a probabilistic atlas of cortical surfaces. , 1997, Journal of computer assisted tomography.

[227]  A W Toga,et al.  Sulcal variability in the Alzheimer's brain , 1998, Neurology.

[228]  Karl J. Friston,et al.  Plastic transformation of PET images. , 1991, Journal of computer assisted tomography.

[229]  J. Rapoport,et al.  Progressive cortical change during adolescence in childhood-onset schizophrenia. A longitudinal magnetic resonance imaging study. , 1999, Archives of general psychiatry.

[230]  Tzyy-Ping Jung,et al.  Independent Component Analysis of Electroencephalographic Data , 1995, NIPS.

[231]  C. Davatzikos,et al.  A probabilistic ribbon model for shape analysis of the cerebral sulci: application to the central sulcus. , 1998, Journal of computer assisted tomography.

[232]  A. Toga,et al.  New approaches in brain morphometry. , 2002, The American journal of geriatric psychiatry : official journal of the American Association for Geriatric Psychiatry.

[233]  B Pflesser,et al.  A Realistic Model of Human Structure from the Visible Human Data , 2001, Methods of Information in Medicine.

[234]  Alan C. Evans,et al.  Enhancement of MR Images Using Registration for Signal Averaging , 1998, Journal of Computer Assisted Tomography.

[235]  K. Zilles,et al.  Human Somatosensory Area 2: Observer-Independent Cytoarchitectonic Mapping, Interindividual Variability, and Population Map , 2001, NeuroImage.

[236]  K. Worsley,et al.  Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ 2, F and t Fields , 1994, Advances in Applied Probability.

[237]  H A Drury,et al.  Computational methods for reconstructing and unfolding the cerebral cortex. , 1995, Cerebral cortex.

[238]  Tyrone D. Cannon,et al.  Genetic influences on brain structure , 2001, Nature Neuroscience.

[239]  Alan C. Evans,et al.  Human cingulate and paracingulate sulci: pattern, variability, asymmetry, and probabilistic map. , 1996, Cerebral cortex.

[240]  D E Kuhl,et al.  Stereotactic PET atlas of the human brain: aid for visual interpretation of functional brain images. , 1994, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[241]  S. Kosslyn,et al.  Genes, brain and cognition , 2001, Nature Neuroscience.

[242]  G. Frisoni,et al.  Hippocampus and entorhinal cortex in frontotemporal dementia and Alzheimer’s disease: a morphometric MRI study , 2000, Biological Psychiatry.

[243]  Guido Gerig,et al.  Spatio-temporal Segmentation of Active Multiple Sclerosis Lesions in Serial MRI Data , 2001, IPMI.

[244]  H A Drury,et al.  Functional specializations in human cerebral cortex analyzed using the visible man surface‐based atlas , 1997, Human brain mapping.

[245]  Timothy F. Cootes,et al.  Active Shape Models-Their Training and Application , 1995, Comput. Vis. Image Underst..

[246]  Tyrone D. Cannon,et al.  Genetic and perinatal determinants of structural brain deficits in schizophrenia , 1989, Schizophrenia Research.

[247]  R. Bajcsy,et al.  Elastic Matching: Continuum Mechanical and Probabilistic Analysis , 1999 .

[248]  Muge M. Bakircioglu,et al.  Mapping visual cortex in monkeys and humans using surface-based atlases , 2001, Vision Research.

[249]  Larry W. Swanson,et al.  Brain Maps: Structure of the Rat Brain , 1992 .

[250]  D. Bates,et al.  Mixed-Effects Models in S and S-PLUS , 2001 .

[251]  Milan Sonka,et al.  Segmentation and interpretation of MR brain images. An improved active shape model , 1998, IEEE Transactions on Medical Imaging.

[252]  Michael I. Miller,et al.  Deformable templates using large deformation kinematics , 1996, IEEE Trans. Image Process..

[253]  A. Schleicher,et al.  Integration of microstructural and functional aspects of human somatosensory areas 3a, 3b, and 1 on the basis of a computerized brain atlas , 2001, Anatomy and Embryology.

[254]  Ron Kikinis,et al.  Nondistorting flattening maps and the 3-D visualization of colon CT images , 2000, IEEE Transactions on Medical Imaging.

[255]  Paul M. Thompson,et al.  Detecting Disease-Specific Patterns of Brain Structure Using Cortical Pattern Matching and a Population-Based Probabilistic Brain Atlas , 2001, IPMI.

[256]  Alexander M. Polyakov,et al.  Gauge Fields And Strings , 1987 .

[257]  D. Louis Collins,et al.  Automated extraction and variability analysis of sulcal neuroanatomy , 1999, IEEE Transactions on Medical Imaging.

[258]  James C. Gee,et al.  Atlas warping for brain morphometry , 1998, Medical Imaging.

[259]  E. Oja,et al.  Independent Component Analysis , 2013 .

[260]  N Roberts,et al.  Automatic measurement of changes in brain volume on consecutive 3D MR images by segmentation propagation. , 2000, Magnetic resonance imaging.

[261]  David A. Rottenberg,et al.  CirclePack: Software for creating quasi-conformal flat maps of the brain , 1999 .

[262]  A. Toga,et al.  9 – Brain Mapping in Dementia , 2000 .

[263]  Michael Petrides,et al.  Three-Dimensional Probabilistic Atlas of the Human Orbitofrontal Sulci in Standardized Stereotaxic Space , 2001, NeuroImage.

[264]  Paul M. Thompson,et al.  6 – Disease-Specific Brain Atlases , 2000 .

[265]  D. Louis Collins,et al.  Cortical Constraints for Non-Linear Cortical Registration , 1996, VBC.

[266]  J. Mazziotta,et al.  MRI‐PET Registration with Automated Algorithm , 1993, Journal of computer assisted tomography.

[267]  P Kochunov,et al.  Evaluation of octree regional spatial normalization method for regional anatomical matching , 2000, Human brain mapping.

[268]  Alan C. Evans,et al.  A method for identifying geometrically simple surfaces from three-dimensional images , 1998 .

[269]  A M Dale,et al.  Measuring the thickness of the human cerebral cortex from magnetic resonance images. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[270]  Wieslaw Lucjan Nowinski,et al.  Computer-aided stereotactic functional neurosurgery enhanced by the use of the multiple brain atlas database , 2000, IEEE Transactions on Medical Imaging.

[271]  R Plomin,et al.  Longitudinal and cross-sectional twin data on cognitive abilities in adulthood: the Swedish Adoption/Twin Study of Aging. , 1998, Developmental psychology.

[272]  D. V. von Cramon,et al.  Sulcal variability of twins. , 1999, Cerebral cortex.

[273]  Michael I. Miller,et al.  Group Actions, Homeomorphisms, and Matching: A General Framework , 2004, International Journal of Computer Vision.

[274]  Michael I. Miller,et al.  Landmark matching via large deformation diffeomorphisms , 2000, IEEE Trans. Image Process..

[275]  K. Roeder,et al.  The heritability of IQ , 1997, Nature.

[276]  C Marsault,et al.  Are the brains of monozygotic twins similar? A three-dimensional MR study. , 1998, AJNR. American journal of neuroradiology.

[277]  Paul M. Thompson,et al.  Detecting dynamic (4D) profiles of degenerative rates in Alzheimer's disease patients, using high-resolution tensor mapping and a brain atlas encoding atrophic rates in a population , 2001, NeuroImage.

[278]  Karl J. Friston,et al.  Identifying global anatomical differences: Deformation‐based morphometry , 1998 .

[279]  F Makedon,et al.  Statistical Methods in Medical Research Data Mining in Brain Imaging , 2022 .

[280]  Robert J. Zatorre,et al.  Sexual Dimorphism in the Corpus Callosum: Methodological Considerations in MRI Morphometry , 2001, NeuroImage.

[281]  Karl J. Friston,et al.  Statistical parametric maps in functional imaging: A general linear approach , 1994 .

[282]  Dong Soo Lee,et al.  Quantification of F-18 FDG PET Images in Temporal Lobe Epilepsy Patients Using Probabilistic Brain Atlas , 2000, NeuroImage.

[283]  C. Fennema-Notestine,et al.  Effects of age on tissues and regions of the cerebrum and cerebellum , 2001, Neurobiology of Aging.

[284]  Paul M. Thompson,et al.  Probabilistic approaches for atlasing normal and disease-specific brain variability , 2001, Anatomy and Embryology.

[285]  K. Niemann,et al.  One Atlas – Three Anatomies: Relationships of the Schaltenbrand and Wahren Microscopic Data , 1999, Acta Neurochirurgica.

[286]  L. Sabattini,et al.  Evaluation and measurement of the normal ventricular and subarachnoid spaces by CT , 2004, Neuroradiology.

[287]  Li-Tien Cheng,et al.  Variational Problems and Partial Differential Equations on Implicit Surfaces: The Framework and Exam , 2000 .

[288]  James C. Gee,et al.  Using a Linear Diagnostic Function and Non-rigid Registration to Search for Morphological Differences Between Populations: An Example Involving the Male and Female Corpus Callosum , 2001, IPMI.

[289]  M I Miller,et al.  Mathematical textbook of deformable neuroanatomies. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[290]  S. Lawrie,et al.  Brain abnormality in schizophrenia , 1998, British Journal of Psychiatry.

[291]  Timothy F. Cootes,et al.  A minimum description length approach to statistical shape modeling , 2002, IEEE Transactions on Medical Imaging.

[292]  Alan C. Evans,et al.  Statistical Sulcal Shape Comparisons: Application to the Detection of Genetic Encoding of the Central Sulcus Shape , 2000, NeuroImage.