Groupwise rigid registration of wrist bones

Med Image Comput Comput Assist Interv. 2012;15(Pt 2):155-62. doi: 10.1007/978-3-642-33418-4_20.

Abstract

We present an extension of the symmetric ICP algorithm that is unbiased for an arbitrary number (N > or = 2) of shapes, using rigid transformations and scaling. The method does not require the selection of a reference shape or registration order and hence it is unbiased towards any of the registered shapes. The functional to be minimized is non-linear in the transformation parameters and thus computationally complex. We therefore propose a first order approximation that estimates the transformation parameters in a closed form, with computational complexity (see text for symbol)(N2). Using a set of wrist bones, we show that the least-squares minimization and the proposed approximation converge to the same solution. Experiments also show that the proposed algorithms lead to smaller registration errors than algorithms that select a reference shape or register to an evolving mean shape. The low computational cost and trivial parallelization enable the alignment of large numbers of bones.

MeSH terms

  • Algorithms
  • Bone and Bones / diagnostic imaging*
  • Humans
  • Imaging, Three-Dimensional / methods*
  • Pattern Recognition, Automated / methods*
  • Radiographic Image Enhancement / methods
  • Radiographic Image Interpretation, Computer-Assisted / methods*
  • Reproducibility of Results
  • Sensitivity and Specificity
  • Subtraction Technique*
  • Tomography, X-Ray Computed / methods*
  • Wrist Joint / diagnostic imaging*