Global point signature for shape analysis of carpal bones
- Author(s): Chaudhari, AJ
- Leahy, RM
- Wise, BL
- Lane, NE
- Badawi, RD
- Joshi, AA
- et al.
Published Web Locationhttp://www.academia.edu/download/45782545/CIA_PET_2014.pdf
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 (ℓ2) 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. © 2014 Institute of Physics and Engineering in Medicine.
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