Global point signature for shape analysis of carpal bones

作者：Chaudhari Abhijit J^*; Leahy Richard M; Wise Barton L; Lane Nancy E; Badawi Ramsey D; Joshi Anand A

来源：Physics in Medicine and Biology, 2014, 59(4): 961-973.

DOI：10.1088/0031-9155/59/4/961

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

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.

• 出版日期2014-2-21