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Classifying Phenotypes Based on the Community Structure of Human Brain Networks Read chapter Read first chapter

2017 | Supplement | Chapter

A New Metric for Statistical Analysis of Rigid Transformations: Application to the Rib Cage

Authors : Baptiste Moreau, Benjamin Gilles, Erwan Jolivet, Philippe Petit, Gérard Subsol

Published in: Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics

Publisher: Springer International Publishing

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Abstract

Statistical analysis of an anatomical structure composed of multiple objects is useful for many computational anatomy tasks as registration or classification. As rigid transformations do not belong to an Euclidean space, conventional mean and covariance formulas could not be applied to study the movement of each object with respect to the others. Some tools from Riemannian geometry are used instead, requiring the definition of a metric. We show that common metrics are not intuitive in the case of an object with an elongated shape and we propose a new one based on displacements of all the points of the structure. We describe the method to study the pose variability of a multi-object structure with this new metric. It is then applied to the statistical analysis of the rib cage which is composed of 24 elongated bones.

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previous chapter Prediction of the Progression of Subcortical Brain Structures in Alzheimer’s Disease from Baseline
next chapter Unbiased Diffeomorphic Mapping of Longitudinal Data with Simultaneous Subject Specific Template Estimation
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Metadata
Title
A New Metric for Statistical Analysis of Rigid Transformations: Application to the Rib Cage
Authors
Baptiste Moreau
Benjamin Gilles
Erwan Jolivet
Philippe Petit
Gérard Subsol
Copyright Year
2017
Book
Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics

Print ISBN: 978-3-319-67674-6

Electronic ISBN: 978-3-319-67675-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-67675-3_11

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