title: Global point signature for shape analysis of carpal bones.
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.
authors: Department of Radiology, University of California-Davis School of Medicine, Sacramento, CA 95817, USA.
authors: Abhijit J
authors: AJ
authors: Chaudhari
authors: Richard M
authors: RM
authors: Leahy
authors: Barton L
authors: BL
authors: Wise
authors: Nancy E
authors: NE
authors: Lane
authors: Ramsey D
authors: RD
authors: Badawi
authors: Anand A
authors: AA
authors: Joshi
mesh_terms: D002348:Carpal Bones / Q000033:anatomy & histology*; D005260:Female; D020342:Finite Element Analysis; D006801:Humans; D021621:Imaging, Three-Dimensional; D008297:Male; D012727:Sex Characteristics; D013057:Spectrum Analysis