Soliton dynamics in computational anatomy

[1]  Alain Trouvé,et al.  Geodesic Shooting for Computational Anatomy , 2006, Journal of Mathematical Imaging and Vision.

[2]  Alain Trouvé,et al.  Foundations of Computational Mathematics Metamorphoses through Lie Group Action , 2005 .

[3]  Darryl D. Holm,et al.  Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation , 2003, nlin/0312048.

[4]  L. Younes,et al.  Statistics on diffeomorphisms via tangent space representations , 2004, NeuroImage.

[5]  L. Younes,et al.  Diffeomorphic matching of distributions: a new approach for unlabelled point-sets and sub-manifolds matching , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[6]  Thomas F. Nugent,et al.  Dynamic mapping of human cortical development during childhood through early adulthood. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Lei Wang,et al.  Abnormalities of thalamic volume and shape in schizophrenia. , 2004, The American journal of psychiatry.

[8]  A. Toga,et al.  Abnormal gyral complexity in first-episode schizophrenia , 2004, Biological Psychiatry.

[9]  Paul M. Thompson,et al.  Regional specificity of hippocampal volume reductions in first-episode schizophrenia , 2004, NeuroImage.

[10]  Arthur W Toga,et al.  Mapping brain size and cortical gray matter changes in elderly depression , 2003, Biological Psychiatry.

[11]  Alain Trouvé,et al.  Diffeomorphisms Groups and Pattern Matching in Image Analysis , 1998, International Journal of Computer Vision.

[12]  Arthur W Toga,et al.  Anterior cingulate, gyrus rectus, and orbitofrontal abnormalities in elderly depressed patients: an MRI-based parcellation of the prefrontal cortex. , 2004, The American journal of psychiatry.

[13]  Michael I. Miller,et al.  Landmark Matching via Large Deformation Diffeomorphisms on the Sphere , 2004, Journal of Mathematical Imaging and Vision.

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

[15]  J. Gee,et al.  Alzheimer's Disease And Frontotemporal Dementia Exhibit Distinct Atrophy-Behavior Correlates: , 2003 .

[16]  Lei Wang,et al.  Hippocampal deformities in the unaffected siblings of schizophrenia subjects , 2003, Biological Psychiatry.

[17]  J. Mazziotta,et al.  Increases in regional subarachnoid CSF without apparent cortical gray matter deficits in schizophrenia: modulating effects of sex and age. , 2003, The American journal of psychiatry.

[18]  A. Toga,et al.  Temporal dynamics of brain anatomy. , 2003, Annual review of biomedical engineering.

[19]  Alain Trouvé,et al.  The metric spaces, Euler equations, and normal geodesic image motions of computational anatomy , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[20]  Suzanne E. Welcome,et al.  Cortical abnormalities in children and adolescents with attention-deficit hyperactivity disorder , 2003, The Lancet.

[21]  Arthur W Toga,et al.  Lateralized lexical decision in schizophrenia: hemispheric specialization and interhemispheric lexicality priming. , 2003, Journal of abnormal psychology.

[22]  Michael I. Miller,et al.  Changes in hippocampal volume and shape across time distinguish dementia of the Alzheimer type from healthy aging☆ , 2003, NeuroImage.

[23]  Suzanne E. Welcome,et al.  Mapping cortical change across the human life span , 2003, Nature Neuroscience.

[24]  Nick C Fox,et al.  Computer-assisted imaging to assess brain structure in healthy and diseased brains , 2003, The Lancet Neurology.

[25]  Kiralee M. Hayashi,et al.  Dynamics of Gray Matter Loss in Alzheimer's Disease , 2003, The Journal of Neuroscience.

[26]  S. Engel,et al.  Dynamics of the Hippocampus During Encoding and Retrieval of Face-Name Pairs , 2003, Science.

[27]  Darryl D. Holm,et al.  Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs , 2002, SIAM J. Appl. Dyn. Syst..

[28]  Tyrone D. Cannon,et al.  Early and late neurodevelopmental influences in the prodrome to schizophrenia: contributions of genes, environment, and their interactions. , 2003, Schizophrenia bulletin.

[29]  Murray Grossman,et al.  Alzheimer's disease and frontotemporal dementia exhibit distinct atrophy-behavior correlates: a computer-assisted imaging study. , 2003, Academic radiology.

[30]  M. Miller,et al.  High-dimensional mapping of the hippocampus in depression. , 2003, The American journal of psychiatry.

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

[32]  Johan Montagnat,et al.  A review of deformable surfaces: topology, geometry and deformation , 2001, Image Vis. Comput..

[33]  Laurent Younes,et al.  Geodesic Interpolating Splines , 2001, EMMCVPR.

[34]  Darryl D. Holm,et al.  The Navier–Stokes-alpha model of fluid turbulence , 2001, nlin/0103037.

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

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

[37]  Darryl D. Holm,et al.  Integrable vs. nonintegrable geodesic soliton behavior , 1999, solv-int/9903007.

[38]  F. Bookstein,et al.  Morphometric Tools for Landmark Data: Geometry and Biology , 1999 .

[39]  Anil K. Jain,et al.  Deformable template models: A review , 1998, Signal Process..

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

[41]  Antony K. Liu,et al.  Evolution of nonlinear internal waves in the East and South , 1998 .

[42]  Darryl D. Holm,et al.  Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow , 1998, chao-dyn/9804026.

[43]  Darryl D. Holm,et al.  The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories , 1998, chao-dyn/9801015.

[44]  V. Arnold,et al.  Topological methods in hydrodynamics , 1998 .

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

[46]  D. Mumford.  Pattern theory: a unifying perspective , 1996 .

[47]  Eberhard Zeidler,et al.  Applied Functional Analysis: Applications to Mathematical Physics , 1995 .

[48]  Peter W. Hallinan.  A low-dimensional representation of human faces for arbitrary lighting conditions , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[49]  C. Bajaj.  Algebraic Geometry and its Applications , 1994 .

[50]  D. Mumford.  Elastica and Computer Vision , 1994 .

[51]  V. Lieshout.  Discussion contribution to U. Grenander and M.I. Miller: Representations of knowledge in complex systems , 1994 .

[52]  Darryl D. Holm,et al.  An integrable shallow water equation with peaked solitons. , 1993, Physical review letters.

[53]  Fred L. Bookstein,et al.  Morphometric Tools for Landmark Data. , 1998 .

[54]  David Mumford,et al.  Mathematical theories of shape: do they model perception? , 1991, Optics & Photonics.

[55]  lawa Kanas,et al.  Metric Spaces , 2020, An Introduction to Functional Analysis.

[56]  R. Bajcsy,et al.  A computerized system for the elastic matching of deformed radiographic images to idealized atlas images. , 1983, Journal of computer assisted tomography.

[57]  P. M. Naghdi,et al.  A derivation of equations for wave propagation in water of variable depth , 1976, Journal of Fluid Mechanics.

[58]  A. Balakrishnan.  Applied Functional Analysis , 1976 .

[59]  C. S. Gardner,et al.  Korteweg‐de Vries Equation and Generalizations. III. Derivation of the Korteweg‐de Vries Equation and Burgers Equation , 1969 .

[60]  V. Arnold.  Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits , 1966 .

[61]  V. Antonini.  Group action. , 1961, The Canadian nurse.