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Global point signature for shape analysis of carpal bones.

Authors
Type
Published Article
Journal
Physics in Medicine and Biology
Publisher
IOP Publishing
Volume
59
Issue
4
Pages
961–973
Identifiers
DOI: 10.1088/0031-9155/59/4/961
Source
Badawi Lab
License
Unknown

Abstract

We present a method based on spectral theory for the shape analysis of carpal bones of the human wrist. We represent the cortical surface of the carpal bone in a coordinate system based on the eigensystem of the two-dimensional Helmholtz equation. We employ a metric—global point signature (GPS)—that exploits the scale and isometric invariance of eigenfunctions to quantify overall bone shape. We use a fast finite-element-method to compute the GPS metric. We capitalize upon the properties of GPS representation—such as stability, a standard Euclidean (ℓ(2)) metric definition, and invariance to scaling, translation and rotation—to perform shape analysis of the carpal bones of ten women and ten men from a publicly-available database. We demonstrate the utility of the proposed GPS representation to provide a means for comparing shapes of the carpal bones across populations.

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