Title
Using the logarithm of odds to define a vector space on probabilistic atlases
Abstract
The logarithm of the odds ratio (LogOdds) is frequently used in areas such as artificial neural networks, economics, and biology, as an alternative representation of probabilities. Here, we use LogOdds to place probabilistic atlases in a linear vector space. This representation has several useful properties for medical imaging. For example, it not only encodes the shape of multiple anatomical structures but also captures some information concerning uncertainty. We demonstrate that the resulting vector space operations of addition and scalar multiplication have natural probabilistic interpretations.
Year
DOI
Venue
2007
10.1016/j.media.2007.06.003
Medical Image Analysis
Keywords
Field
DocType
Logarithm of odds,Logistic function,Anatomical variations,Shape representation,Distance map,Bayesian modeling,Interpolation,Statistical classification
Population,Signed distance function,Computer science,Distance transform,Artificial intelligence,Probabilistic logic,Computer vision,Pattern recognition,Naive Bayes classifier,Segmentation,Algorithm,Smoothing,Statistical classification
Journal
Volume
Issue
ISSN
11
5
1361-8415
Citations 
PageRank 
References 
48
2.09
21
Authors
8
Name
Order
Citations
PageRank
Kilian Pohl157746.78
John W. Fisher III287874.44
Sylvain Bouix387755.88
Martha Shenton417822.27
Robert W. McCarley531939.01
W. E. L. Grimson6114512002.95
Ron Kikinis767231071.86
William M. Wells III85267833.10