The DOI matches its Crossref record.
Mathematical textbook of deformable neuroanatomies.
Open accessAbstract
Mathematical techniques are presented for the transformation of digital anatomical textbooks from the ideal to the individual, allowing for the representation of the variabilities manifest in normal human anatomies. The ideal textbook is constructed on a fixed coordinate system to contain all of the information currently available about the physical properties of neuroanatomies. This information is obtained via sensor probes such as magnetic resonance, as well as computed axial and emission tomography, along with symbolic information such as white- and gray-matter tracts, nuclei, etc. Human variability associated with individuals is accommodated by defining probabilistic transformations on the textbook coordinate system, the transformations forming mathematical translation groups of high dimension. The ideal is applied to the individual patient by finding the transformation which is consistent with physical properties of deformable elastic solids and which brings the coordinate system of the textbook to that of the patient. Registration, segmentation, and fusion all result automatically because the textbook carries symbolic values as well as multisensor features.
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Cited by
Fischl, B., Salat, D. H., Busa, E., Albert, M., Dieterich, M., Haselgrove, C., van der Kouwe, A., Killiany, R., Kennedy, D., Klaveness, S., et al. (2002) · Neuron · doi:10.1016/s0896-6273(02)00569-x · Cited by 8,610
Ashburner, J., & Friston, K. J. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2005.02.018 · Cited by 7,507
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One-Year Brain Atrophy Evident in Healthy Aging
Fjell, A. M., Walhovd, K. B., Fennema-Notestine, C., McEvoy, L. K., Hagler, D. J., Holland, D., Brewer, J. B., & Dale, A. M. (2009) · The Journal of Neuroscience · doi:10.1523/jneurosci.3252-09.2009 · Cited by 692
Variational problems on flows of diffeomorphisms for image matching
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Csernansky, J. G., Wang, L., Swank, J., Miller, J. P., Gado, M., McKeel, D., Miller, M. I., & Morris, J. C. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2004.12.036 · Cited by 328
Self-citationGhosh, S. S., Kakunoori, S., Augustinack, J., Nieto-Castanon, A., Kovelman, I., Gaab, N., Christodoulou, J. A., Triantafyllou, C., Gabrieli, J. D. E., & Fischl, B. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2010.05.075 · Cited by 281
Wang, L., Swank, J. S., Glick, I. E., Gado, M. H., Miller, M. I., Morris, J. C., & Csernansky, J. G. (2003) · NeuroImage · doi:10.1016/s1053-8119(03)00361-6 · Cited by 263
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Metadata
- Authors
- Miller, M. I., Christensen, G. E., Amit, Y., & Grenander, U.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1993-12-15
- Volume
- 90
- Issue
- 24
- Pages
- 11944-11948
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2102849263
- Cited by
- 462
- References
- 0
- FWCI
- 19.65
- Type
- journal article
- Language
- en
- Open access
- bronze
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