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Open Access Publications from the University of California

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.

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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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