Projected Generalized Procrustes Alignment

  • Authors:
  • Konstantin Chernoff;Mads Nielsen

  • Affiliations:
  • Department Of Computer Science, University of Copenhagen, Denmark;Department Of Computer Science, University of Copenhagen, Denmark and Nordic Bioscience Imaging, Herlev, Denmark

  • Venue:
  • IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
  • Year:
  • 2009

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Abstract

When observing the 3D world through a 2D projection, rigid 3D rotation will result in an apparent deformation not accounted for in traditional shape analysis methodologies, e.g. those based on Generalized Procrustes Alignment and Principal Component Analysis. We propose using a 3D statistical model to infer relative depth to a 2D shape and consequently model the apparent deformation in a Procrustes alignment framework. We test our approach on vertebra shapes and show that it leads to a more compact and generalizable shape model, as well as to improvement in vertebra fracture prediction.