A Log-Euclidean Polyaffine Registration for Articulated Structures in Medical Images

  • Authors:
  • Miguel Ángel Martín-Fernández;Marcos Martín-Fernández;Carlos Alberola-López

  • Affiliations:
  • Laboratory of Image Processing, ETSI Telecomunicaciones, University of Valladolid, Valladolid, Spain 47011;Laboratory of Image Processing, ETSI Telecomunicaciones, University of Valladolid, Valladolid, Spain 47011;Laboratory of Image Processing, ETSI Telecomunicaciones, University of Valladolid, Valladolid, Spain 47011

  • Venue:
  • MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
  • Year:
  • 2009

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Abstract

In this paper we generalize the Log-Euclidean polyaffine registration framework of Arsigny et al. [1] to deal with articulated structures. This framework has very useful properties as it guarantees the invertibility of smooth geometric transformations. In articulated registration a skeleton model is defined for rigid structures such as bones. The final transformation is affine for the bones and elastic for other tissues in the image. We extend the Arsigny el al.'s method to deal with locally-affine registration of pairs of wires. This enables the possibility of using this registration framework to deal with articulated structures. In this context, the design of the weighting functions, which merge the affine transformations defined for each pair of wires, has a great impact not only on the final result of the registration algorithm, but also on the invertibility of the global elastic transformation. Several experiments, using both synthetic images and hand radiographs, are also presented.