Mathematical textbook of deformable neuroanatomies

Michael I Miller; G E Christensen; Y Amit; Ulf Grenander

doi:10.1073/pnas.90.24.11944

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Mathematical textbook of deformable neuroanatomies

Journal article

Open access

Peer reviewed

Mathematical textbook of deformable neuroanatomies

Michael I Miller, G E Christensen, Y Amit and Ulf Grenander

Proceedings of the National Academy of Sciences - PNAS, Vol.90(24), pp.11944-11948

12/15/1993

DOI: 10.1073/pnas.90.24.11944

PMCID: PMC48101

PMID: 8265653

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Abstract

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.

Mathematics

Magnetic Resonance Imaging

Algorithms

Brain - diagnostic imaging

Brain - anatomy & histology

Humans

Tomography, X-Ray Computed

Hominidae - anatomy & histology

Animals

Stochastic Processes

Anatomy - methods

Textbooks as Topic

Tomography, Emission-Computed

Models, Anatomic

Details

Title: Subtitle: Mathematical textbook of deformable neuroanatomies
Creators: Michael I Miller - Department of Electrical Engineering, Washington University, St. Louis, MO 63130
G E Christensen
Y Amit
Ulf Grenander
Resource Type: Journal article
Publication Details: Proceedings of the National Academy of Sciences - PNAS, Vol.90(24), pp.11944-11948
DOI: 10.1073/pnas.90.24.11944
PMID: 8265653
PMCID: PMC48101
NLM abbreviation: Proc Natl Acad Sci U S A
ISSN: 0027-8424
eISSN: 1091-6490
Publisher: National Academy of Sciences; United States
Grant note: DRR-1380 / NCRR NIH HHS
Language: English
Date published: 12/15/1993
Academic Unit: Electrical and Computer Engineering; Radiation Oncology; Radiation Research Laboratory
Record Identifier: 9984047705302771

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