Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A mathematical representation of biological variability in medical images

Author: Larisa Matejic
Journal: Quart. Appl. Math. 61 (2003), 1-16
MSC: Primary 92C55; Secondary 60H10, 62H35
DOI: https://doi.org/10.1090/qam/1955221
MathSciNet review: MR1955221
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Abstract: Medical image ensembles exhibit variability and it is the aim of computational anatomy to represent such variabilities mathematically and to exploit these knowledge representations by inference algorithms implemented through code. The variability is caused by several factors and our pattern theoretic approach rests on the assumption that they can be understood in terms of groups of transformations and probability measures on such groups. We shall arrange the similarity groups in a cascade, typically starting with the more rigid transformations and continuing with more flexible ones. Most importantly, however, we attach great significance to the physical and biological interpretation of the similarity groups.

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DOI: https://doi.org/10.1090/qam/1955221
Article copyright: © Copyright 2003 American Mathematical Society

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