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.
journal_name
Phys Med Bioljournal_title
Physics in medicine and biologyauthors
Chaudhari AJ,Leahy RM,Wise BL,Lane NE,Badawi RD,Joshi AAdoi
10.1088/0031-9155/59/4/961subject
Has Abstractpub_date
2014-02-21 00:00:00pages
961-73issue
4eissn
0031-9155issn
1361-6560journal_volume
59pub_type
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