Heat kernel smoothing via Laplace-Beltrami eigenfunctions and its application to subcortical structure modeling

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

Volumn 7087 LNCS, Issue PART1, 2011, Pages 36-47

  Kim, Seung Goo ^a   Chung, Moo K ^a,b,c   Seo, Seongho ^a   Schaefer, Stacey M ^c   Van Reekum, Carien M ^e   Davidson, Richard J ^c,d  

^a Seoul National University   (South Korea)

^b UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

^d UNIVERSITY OF WISCONSIN MADISON   (United States)

^e UNIVERSITY OF READING   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AGE EFFECTS; DISCRETIZATIONS; GENDER EFFECTS; HEAT KERNEL; LAPLACE-BELTRAMI OPERATOR; SHAPE MODELING; SUBCORTICAL STRUCTURES; VOLUMETRIC METHODS;

LAPLACE TRANSFORMS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 82155166459     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-25367-6_4     Document Type: Conference Paper

References (37)

1. LeDoux, J.: The amygdala. Current Biology 17(20), R868-R874 (2007)
2. Alvarez, P., Squire, L.R.: Memory consolidation and the medial temporal lobe: a simple network model. Proceedings of the National Academy of Sciences 91(15), 7041-7045 (1994)
3. Miller, A., Alston, R., Corsellis, J.: Variation with age in the volumes of grey and white matter in the cerebral hemispheres of man: measurements with an image analyser. Neuropathology and Applied Neurobiology 6(2), 119-132 (1980)
4. Good, C., Johnsrude, I., Ashburner, J., Henson, R., Friston, K., Frackowiak, R.: A voxel-based morphometric study of ageing in 465 normal adult human brains. NeuroImage 14(1), 21-36 (2001)
5. Walhovd, K., Westlye, L., Amlien, I., Espeseth, T., Reinvang, I., Raz, N., Agartz, I., Salat, D., Greve, D., Fischl, B., et al.: Consistent neuroanatomical age-related volume differences across multiple samples. Neurobiology of Aging (2009)
6. Bigler, E., Blatter, D., Anderson, C., Johnson, S., Gale, S., Hopkins, R., Burnett, B.: Hippocampal volume in normal aging and traumatic brain injury. American Journal of Neuroradiology 18(1), 11 (1997)
7. Du, A., Schuff, N., Chao, L., Kornak, J., Jagust, W., Kramer, J., Reed, B., Miller, B., Norman, D., Chui, H., et al.: Age effects on atrophy rates of entorhinal cortex and hippocampus. Neurobiology of Aging 27(5), 733-740 (2006)
8. Walhovd, K., Fjell, A., Reinvang, I., Lundervold, A., Dale, A., Eilertsen, D., Quinn, B., Salat, D., Makris, N., Fischl, B.: Effects of age on volumes of cortex, white matter and subcortical structures. Neurobiology of Aging 26(9), 1261-1270 (2005)
9. Sullivan, E., Marsh, L., Mathalon, D., Lim, K., Pfefferbaum, A.: Age-related decline in mri volumes of temporal lobe gray matter but not hippocampus. Neurobiology of Aging 16(4), 591-606 (1995)
10. Sullivan, E., Marsh, L., Pfefferbaum, A.: Preservation of hippocampal volume throughout adulthood in healthy men and women. Neurobiology of Aging 26(7), 1093 (2005)
11. Good, C., Johnsrude, I., Ashburner, J., Henson, R., Friston, K., Frackowiak, R.: Cerebral asymmetry and the effects of sex and handedness on brain structure: a voxel-based morphometric analysis of 465 normal adult human brains. NeuroImage 14(3), 685-700 (2001)
12. Gur, R.C., Gunning-Dixon, F., Bilker,W.B., Gur, R.E.: Sex differences in temporolimbic and frontal brain volumes of healthy adults. Cerebral Cortex 12(9), 998-1003 (2002)
13. Chung, M.K., Worsley, K.J., Paus, T., Cherif, D.L., Collins, C., Giedd, J., Rapoport, J.L., Evans, A.C.: A unified statistical approach to deformation-based morphometry. NeuroImage 14, 595-606 (2001)
14. Adler, R.: On excursion sets, tube formulas and maxima of random fields. Annals of Applied Probability, 1-74 (2000)
15. Worsley, K., Marrett, S., Neelin, P., Vandal, A., Friston, K., Evans, A., et al.: A unified statistical approach for determining significant signals in images of cerebral activation. Human Brain Mapping 4(1), 58-73 (1996)
16. Worsley, K., Evans, A., Marrett, S., Neelin, P.: A three-dimensional statistical analysis for CBF activation studies in human brain. Journal of Cerebral Blood Flow and Metabolism 12, 900 (1992)
17. Smith, S.: Fast robust automated brain extraction. Human Brain Mapping 17(3), 143-155 (2002)
18. Avants, B., Epstein, C., Grossman, M., Gee, J.: Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain. Medical Image Analysis 12(1), 26-41 (2008)
19. Lorensen, W., Cline, H.: Marching cubes: A high resolution 3D surface construction algorithm. ACM Siggraph Computer Graphics 21(4), 163-169 (1987)
20. Chung, M.K., Worsley, K.J., Robbins, S., Paus, T., Taylor, J., Giedd, J.N., Rapoport, J.L., Evans, A.C.: Deformation-based surface morphometry applied to gray matter deformation. NeuroImage 18, 198-213 (2003)
21. Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12(7), 629-639 (1990)
22. Andrade, A., Kherif, F., Mangin, J., Worsley, K., Paradis, A., Simon, O., Dehaene, S., Le Bihan, D., Poline, J.B.: Detection of fmri activation using cortical surface mapping. Human Brain Mapping 12, 79-93 (2001)
23. Sochen, N., Kimmel, R., Malladi, R.: A general framework for low level vision. IEEE Transactions on Image Processing 7(3), 310-318 (1998)
24. Malladi, R., Ravve, I.: Fast Difference Schemes for Edge Enhancing Beltrami Flow. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2350, pp. 343-357. Springer, Heidelberg (2002)
25. Tang, B., Sapiro, G., Caselles, V.: Direction diffusion. In: The Proceedings of the Seventh IEEE International Conference on Computer Vision, vol. 2, pp. 1245-1252 (1999)
26. Taubin, G.: Geometric signal processing on polygonal meshes. In: Eurographics 2000 - State of the Art Report (2000)
27. Joshi, A., Shattuck, D., Thompson, P., Leahy, R.: A parameterization- based numerical method for isotropic and anisotropic diffusion smoothing on non-flat surfaces. IEEE Transactions on Image Processing 18(6), 1358-1365 (2009)
28. Lévy, B.: Laplace-beltrami eigenfunctions towards an algorithm that understands geometry. In: IEEE International Conference on Shape Modeling and Applications, SMI 2006, p. 13. IEEE (2006)
29. Chung, M., Robbins, S., Dalton, K., Davidson, R., Alexander, A., Evans, A.: Cortical thickness analysis in autism with heat kernel smoothing. NeuroImage 25(4), 1256-1265 (2005)
30. Tasdizen, T., Whitaker, R., Burchard, P., Osher, S.: Geometric surface smoothing via anisotropic diffusion of normals. In: IEEE Visualization Conference (2002)
31. Chung, M., Taylor, J.: Diffusion smoothing on brain surface via finite element method. In: IEEE International Symposium on Biomedical Imaging: Nano to Macro, pp. 432-435. IEEE (2004)
32. Qiu, A., Bitouk, D., Miller, M.: Smooth functional and structural maps on the neocortex via orthonormal bases of the laplace-beltrami operator. IEEE Transactions on Medical Imaging 25(10), 1296-1306 (2006)
33. Zhang, H., van Kaick, O., Dyer, R.: Spectral methods for mesh processing and analysis. In: Eurographics 2007-State of the Art Reports, pp. 1-22 (2007)
34. Chung, M.K., Worsley, K.J., Nacewicz, B.M., Dalton, K.M., Davidson, R.J.: General multivariate linear modeling of surface shapes using surfstat. NeuroImage 53(2), 491-505 (2010)
35. Qiu, A., Miller, M.: Multi-structure network shape analysis via normal surface momentum maps. NeuroImage 42(4), 1430-1438 (2008)
36. Xu, Y., Valentino, D., Scher, A., Dinov, I., White, L., Thompson, P., Launer, L., Toga, A.: Age effects on hippocampal structural changes in old men: the haas. NeuroImage 40(3), 1003-1015 (2008)
37. Amunts, K., Kedo, O., Kindler, M., Pieperhoff, P., Mohlberg, H., Shah, N., Habel, U., Schneider, F., Zilles, K.: Cytoarchitectonic mapping of the human amygdala, hippocampal region and entorhinal cortex: intersubject variability and probability maps. Anatomy and Embryology 210(5), 343-352 (2005)