Intrinsic and extrinsic analysis in computational anatomy

NeuroImage

Volumn 39, Issue 4, 2008, Pages 1803-1814

  Qiu, Anqi ^a   Younes, Laurent ^b   Miller, Michael I ^b,c  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b Johns Hopkins University   (United States)

^c Johns Hopkins University   (United States)

Author keywords

Extrinsic analysis; Intrinsic analysis; Nodal domain; The Laplace Beltrami operator

Indexed keywords

ARTICLE; BRAIN CORTEX; BRAIN SIZE; CINGULATE GYRUS; HUMAN; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; SCHIZOPHRENIA; STATISTICAL ANALYSIS;

ADULT; ALGORITHMS; BRAIN; GYRUS CINGULI; HIPPOCAMPUS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; MIDDLE AGED; MODELS, STATISTICAL; NEURAL PATHWAYS; NORMAL DISTRIBUTION; SCHIZOPHRENIA;

EID: 38849184694     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2007.08.043     Document Type: Article

References (35)

1. Allassonnière S., Trouvé A., and Younes L. Geodesic shooting and diffeomorphic matching via textured meshes. EMMCVPR (2005) 365-381
2. Angenent S., Haker S., Tannenbaum A., and Kikinis R. Laplace-beltrami operator and brain surface flattening. IEEE Trans. Med. Imag. 18 (1999) 700-711
3. Apostolova L.G., Dinov I.D., Dutton R.A., Hayashi K.M., Toga A.W., Cummings J.L., and Thompson P.M. 3D comparison of hippocampal atrophy in amnestic mild cognitive impairment and Alzheimer's disease. Brain 129 (2006) 2867-2873
4. Beg M.F., Miller M.I., Trouvé A., and Younes L. Computing large deformation metric mappings via geodesic flows of diffeomorphisms. International Journal of Computer Vision 61 (2005) 139-157
5. Belkin M., and Niyogi P. Semi-supervised learning on Riemannian manifolds. Mach. Learn. 56 (2004) 209-239
6. Bouras C., Kovari E., Hof P.R., Riederer B.M., and Giannakopoulos P. Anterior cingulate cortex pathology in schizophrenia and bipolar disorder. Acta Neuropathol. (Berl.) 102 (2001) 373-379
7. Buser P. Geometry and Spectra of Compact Riemann Surfaces (1992)
8. Cao Y., Miller M., Winslow R., and Younes L. Large deformation diffeomorphic metric mapping of vector fields. IEEE Trans. Med. Imag. 24 (2005) 1216-1230
9. Coifman R.R., Lafon S., Lee A.B., Maggioni M., Nadler B., Warner F., and Zucker S.W. Geometric diffusions as a tool for harmonic analysis and structure definition of data: diffusion maps. Proc. Natl. Acad. Sci. 102 (2005) 7426-7431
10. Cotter D., Mackay D., Landau S., Kerwin R., and Everall I.P. Reduced glial cell density and neuronal size in the anterior cingulate cortex in major depressive disorder. Arch. Gen. Psychiatry 58 (2001) 545-553
11. Courant R., and Hilbert D. Methods of Mathematical Physics vol. 1 (1953), Interscience Publishers, New York 325
12. Csernansky J.G., Joshi S., Wang L., Haller J.W., Gado M., Miller J.P., Grenander U., and Miller M.I. Hippocampal morphometry in schizophrenia by high dimensional brain mapping. Proc. Natl. Acad. Sci. 95 (1998) 11406-11411
13. Csernansky J.G., Schindler M.K., Splinter N.R., Wang L., Gado M., Selemon L.D., Rastogi-Cruz D., Posener J.A., Thompson P.A., and Miller M.I. Abnormalities of thalamic volume and shape in schizophrenia. Am. J. Psychiatry 161 (2004) 896-902
14. Csernansky J.G., Wang L., Joshi S.C., Ratnanather J.T., and Miller M.I. Computational anatomy and neuropsychiatric disease: probabilistic assessment of variation and statistical inference of group difference, hemispheric asymmetry, and time-dependent change. NeuroImage 23 (2004) S139-S150
15. Fischl B., Sereno M.I., and Dale A.M. Cortical surface-based analysis II: inflation, flattening, and a surface-based coordinate system. NeuroImage 9 (1999) 195-207
16. Fornito A., Whittle S., Wood S.J., Velakoulis D., Pantelis C., and Yucel M. The influence of sulcal variability on morphometry of the human anterior cingulate and paracingulate cortex. NeuroImage 33 (2006) 843-854
17. Gaser C., Luders E., Thompson P.M., Lee A.D., Dutton R.A., Geaga J.A., Hayashi K.M., Bellugi U., Galaburda A.M., Korenberg J.R., Mills D.L., Toga A.W., and Reiss A.L. Increased local gyrification mapped in Williams syndrome. NeuroImage 33 (2006) 46-54
18. Grenander U., and Miller M.I. Computational anatomy: an emerging discipline. Q. Appl. Math. 56 (1998) 617-694
19. Gu X., Wang Y., Chan T., Thompson P., and Yau S. Genus zero surface conformal mapping and its application to brain surface mapping. IEEE Trans. Med. Imag. 23 (2004) 949-958
20. Huber H. Zur analytischen theorie hyperbolischen raumformen und bewegungsgruppen, I. Math. Ann. 138 (1959) 1-26
21. Huber H. Zur analytischen theorie hyperbolischer raumformen und bewegungsgruppen, ii. Math. Ann. 142 (1960/1961) 385-398
22. Joshi S.C., and Miller M.I. Landmark matching via large deformation diffeomorphisms. IEEE Trans. Image Process. 9 (2000) 1357-1370
23. Memoli F., Sapiro G., and Thompson P. Implicit brain imaging. NeuroImage 23 (2004) S179-S188
24. Narr K.L., Sharma T., Woods R.P., Thompson P.M., Sowell E.R., Rex D., Kim S., Asuncion D., Jang S., Mazziotta J., and Toga A.W. Increases in regional subarachnoid csf without apparent cortical gray matter deficits in schizophrenia: modulating effects of sex and age. Am. J. Psychiatry 160 (2003) 2169-2180
25. Narr K.L., Bilder R.M., Toga A.W., Woods R.P., Rex D.E., Szeszko P.R., Robinson D., Sevy S., Gunduz-Bruce H., Wang Y.P., DeLuca H., and Thompson P.M. Mapping cortical thickness and gray matter concentration in first episode schizophrenia. Cereb. Cortex 15 (2005) 708-719
26. Qiu A., Bitouk D., and Miller M.I. Smooth functional and structural maps on the neocortex via orthonormal bases of the Laplace-Beltrami operator. IEEE Trans. Med. Imag. 25 (2006) 1296-1306
27. Qiu A., Younes L., Wang L., Ratnanather J.T., Gillepsie S.K., Kaplan G., Csernansky J.G., and Miller M.I. Combining Anatomical Manifold Information via Diffeomorphic Metric Mappings for Studying Cortical Thinning of the Cingulate Gyrus in Schizophrenia. NeuroImage 37 (2007) 821-833
28. Qiu, A., Vaillant, M., Bartay, P., Ratnanather, J.T., Miller, M.I., in press. Region of interest based analysis of cortical thickness variation of left planum temporale in schizophrenia and psychotic bipolar disorder. Hum. Brain Mapp.
29. Ratnanather J.T., Barta P.E., Honeycutt N.A., Lee N., Morris N.G., Dziorny A.C., Hurdal M.K., Pearlson G.D., and Miller M.I. Dynamic programming generation of boundaries of local coordinatized submanifolds in the neocortex: application to the planum temporale. NeuroImage 20 (2003) 359-377
30. Shi J., and Malik J. Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22 (2000) 888-905
31. Thompson P.M., Hayashi K.M., Sowell E.R., Gogtay N., Giedd J.N., Rapoport J.L., de Zubicaray G.I., Janke A.L., Rose S.E., Semple J., Doddrell D.M., Wang Y., van Erp T.G., Cannon T.D., and Toga A.W. Mapping cortical change in Alzheimer's disease, brain development, and schizophrenia. NeuroImage 23 (2004) S2-S18
32. Vaillant M., and Glaunès J. Surface matching via currents. Lect. Notes Comput. Sci.: Inform. Proc. Med. Imaging 3565 (2005) 381-392
33. van Essen D. Surface-based approaches to spatial localization and registration in primate cerebral cortex. NeuroImage 23 (2004) s97-s107
34. Venables W.N., and Ripley B.D. Modern Applied Statistics with S (2002)
35. Wang L., Hosakere M., Trein J.C.L., Miller A., Ratnanather J.T., Barch D.M., Thompson P.A., Qiu A., Gado M.H., Miller M.I., and Csernansky J.G. Abnormalities of cingulate gyrus neuroanatomy in schizophrenia. Schizophr. Res. 93 (2007) 66-78