Global point signature for shape analysis of carpal bones

Abhijit Chaudhari, Richard M. Leahy, Barton L Wise, Nancy E Lane, Ramsey D Badawi, Anand A. Joshi

Research output: Contribution to journalArticle

20 Scopus citations

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 (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.

Original languageEnglish (US)
Pages (from-to)961-973
Number of pages13
JournalPhysics in Medicine and Biology
Volume59
Issue number4
DOIs
StatePublished - Feb 21 2014

Keywords

  • carpal bone
  • eigenfunctions
  • global point signature
  • morphometry
  • shape comparison
  • wrist

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology

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