Inverse-consistent surface mapping with laplace-beltrami eigen-features

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5636 LNCS, Issue , 2009, Pages 467-478

  Shi, Yonggang ^a   Morra, Jonathan H ^a   Thompson, Paul M ^a   Toga, Arthur W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALZHEIMER'S DISEASE; ANATOMICAL STRUCTURES; BELTRAMI; COGNITIVE IMPAIRMENT; DATA TERMS; DESIGN FEATURES; EIGEN FUNCTION; GEOMETRIC FEATURE; GLOBAL GEOMETRIES; HARMONIC ENERGY; NORMAL CONTROLS; REEB GRAPH; SMOOTH SURFACE; SURFACE MAPPING; VARIATIONAL METHODS;

DATA PROCESSING; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LAPLACE TRANSFORMS;

MEDICAL IMAGING;

ALGORITHM; ALZHEIMER DISEASE; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BRAIN; CLUSTER ANALYSIS; COGNITIVE DEFECT; COMPUTER ASSISTED DIAGNOSIS; HUMAN; IMAGE ENHANCEMENT; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; PATHOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ALZHEIMER DISEASE; ARTIFICIAL INTELLIGENCE; BRAIN; CLUSTER ANALYSIS; COGNITION DISORDERS; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 70349333384     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02498-6_39     Document Type: Conference Paper

References (29)

1. Thompson, P.M., Hayashi, K.M., de Zubicaray, G.I., Janke, A.L., Rose, S.E., Sem-ple, J., Hong, M.S., Herman, D.H., Gravano, D., Doddrell, D.M., Toga, A.W.: Mapping hippocampal and ventricular change in Alzheimer disease. NeuroImage 22(4), 1754-1766 (2004)
2. Cootes, T., Taylor, C., Cooper, D., Graham, J.: Active shape models-their training and application. Computer Vision and Image Understanding 61(1), 38-59 (1995)
3. Christensen, G.E., Rabbitt, R.D., Miller, M.I.: Deformable templates using large deformation kinematics. IEEE Trans. Imag. Process. 5(10), 1435-1447 (1996)
4. Joshi, S., Miller, M.I.: Landmark matching via large deformation diffeomorphisms. IEEE Trans. Imag. Process. 9(8), 1357-1370 (2000)
5. Gerig, G., Styner, M., Jones, D., Weinberger, D., Lieberman, J.: Shape analysis of brain ventricles using SPHARM. In: Proc. Workshop on Mathematical Methods in Biomedical Image Analysis, pp. 171-178 (2001)
6. Davies, R.H., Twining, C.J., Allen, P.D., Cootes, T.F., Taylor, C.J.: Shape discrimination in the hippocampus using an MDL model. In: Taylor, C.J., Noble, J.A. (eds.) IPMI 2003. LNCS, vol.2732, pp. 38-50. Springer, Heidelberg (2003)
7. Gu, X., Wang, Y., Chan, T.F., Thompson, P.M., Yau, S.T.: Genus zero surface conformal mapping and its application to brain surface mapping. IEEE Trans. Med. Imag. 23(8), 949-958 (2004)
8. Wang, L., Miller, J.P., Gado, M.H., McKeel, D.W., Rothermich, M., Miller, M.I., Morris, J.C., Csernansky, J.G.: Abnormalities of hippocampal surface structure in very mild dementia of the alzheimer type. NeuroImage 30(1), 52-60 (2006)
9. Yeo, B., Sabuncu, M., Vercauteren, T., Ayache, N., Fischl, B., Golland, P.: Spherical demons: Fast surface registration. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds.) MICCAI 2008, Part I. LNCS, vol.5241, pp. 745-753. Springer, Heidelberg (2008)
10. Shi, Y., Thompson, P.M., de Zubicaray, G., Rose, S.E., Tu, Z., Dinov, I., Toga, A.W.: Direct mapping of hippocampal surfaces with intrinsic shape context. Neu-roImage 37(3), 792-807 (2007)
11. Pizer, S.M., Fritsch, D.S., Yushkevich, P.A., Johnson, V.E., Chaney, E.L.: Segmentation, registration, and measurement of shape variation via image object shape. IEEE Trans. Med. Imag. 18(10), 851-865 (1999)
12. Styner, M., Gerig, G., Lieberman, J., Jones, D., Weinberger, D.: Statistical shape analysis of neuroanatomical structures based on medial models. Med. Image. Anal. 7(3), 207-220 (2003)
13. Yushkevich, P.A., Zhang, H., Gee, J.C.: Continuous medial representation for anatomical structures. IEEE Trans. Med. Imag. 25(12), 1547-1564 (2006)
14. Christensen, G., Johnson, H.: Consistent image registration. IEEE Trans. Med. Imag. 20(7), 568-582 (2001)
15. Eells, J., Lemaire, L.: Two reports on harmonic maps. World Scientific, Singapore (1995
16. Ḿemoli, F., Sapiro, G., Osher, S.: Solving variational problems and partial differ-ential equations mapping into general target manifolds. Journal of Computational Physics 195(1), 263-292 (2004)
17. Osher, S., Sethian, J.: Fronts propagation with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of computational physics 79(1), 12-49 (1988)
18. Bertalḿio, M., Cheng, L., Osher, S., Sapiro, G.: Variational problems and partial differential equations on implicit surfaces. Journal of Computational Physics 174(2), 759-780 (2001)
19. Reuter, M., Wolter, F., Peinecke, N.: Laplace-Beltrami spectra as Shape-DNA of surfaces and solids. Computer-Aided Design 38, 342-366 (2006)
20. Qiu, A., Bitouk, D., Miller, M.I.: Smooth functional and structural maps on the neocortex via orthonormal bases of the Laplace-Beltrami operator. IEEE Trans. Med. Imag. 25(10), 1296-1306 (2006)
21. Niethammer, M., Reuter, M., Wolter, F.E., Bouix, S., Koo, N.P.M.S., Shenton, M.: Global medical shape analysis using the laplace-beltrami spectrum. In: Ayache, N., Ourselin, S., Maeder, A. (eds.) MICCAI 2007, Part I. LNCS, vol.4791, pp. 850-857. Springer, Heidelberg (2007)
22. Shi, Y., Lai, R., Krishna, S., Sicotte, N., Dinov, I., Toga, A.W.: Anisotropic Laplace-Beltrami eigenmaps: Bridging Reeb graphs and skeletons. In: Proc. MM-BIA, pp. 1-7 (2008)
23. Shi, Y., Lai, R., Kern, K., Sicotte, N., Dinov, I., Toga, A.W.: Harmonic surface mapping with Laplace-Beltrami eigenmaps. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds.) MICCAI 2008, Part II. LNCS, vol.5242, pp. 147-154. Springer, Heidelberg (2008)
24. Belkin, M., Niyogi, P.: Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation 15(6), 1373-1396 (2003)
25. Reeb, G.: Sur les points singuliers d'une ou d'une erique. Comptes Rendus Acad. Sciences 222, 847-849 (1946)
26. Uhlenbeck, K.: Generic properties of eigenfunctions. Amer. J. of Math. 98(4), 1059-1078 (1976)
27. Shewchuk, J.R.: Delaunay refinement algorithms for triangular mesh generation. Comput. Geom. Theory & Applications 22(1-3), 21-74 (2002)
28. Morra, J., Tu, Z., Apostolova, L., Green, A., Avedissian, C., Madsen, S., Parikshak, N., Hua, N., Toga, A., Jack, C., Weiner, M., Weiner, M., Thompson, P.: The ADNI: Validation of a fully automated 3D hippocampal segmentation method using subjects with Alzheimer'smild cognitive impairment, and elderly controls. NeuroImage (in press)
29. Mueller, S., Weiner, M., Thal, L., Petersen, R., Jack, C., Jagust, W., Trojanowski, J., Toga, A., Beckett, L.: The Alzheimer's North Am. 15, 869-877, xi-xii (2005)