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International Workshop on
Mathematical Foundations
of Computational Anatomy

Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability

MFCA-2006 is a satellite workshop of MICCAI 2006 which is devoted to statistical and geometrical aspects of the modelling of the variability of biological shapes. It will be held in Copenhagen on October 1st, in conjunction with (and one day before) MICCAI 2006.

Scope of the workshop

Non-linear registration is a well developped research topic in the medical image analysis community. There is nowadays a growing number of methods that can faithfully deal with the underlying biomechanical behavior of intra-subject deformations. However, it is more difficult to relate the anatomies of different subjects. The goal of computational anatomy is to analyse and to statistically model this specific type of non-linear transformations. In the absence of any justified physical model, it seems natural to rely on the most general mathematical framework that still provides a topological consistency: diffeomorphisms. However, working with this infinite dimensional space raises some deep computational and mathematical problems, in particular for doing statistics. Likewise, modeling the variability of surfaces leads to rely on shape spaces that are much more complex than for curves. To cope with these, different methodological and computational frameworks have been proposed (e.g. smooth left-invariant metrics, focus on well-behaved subspaces of diffeomorphisms, modeling surfaces using courants, etc.) The goal of the workshop is to foster interactions between researchers investigating the combination of geometry and statistics in non-linear image and surface registration in the context of computational anatomy from different points of view. A special emphasis will be put on theoretical developments, applications and results being welcomed as illustrations.


Contributions were solicited in (but not limited to) the following areas:

  • Riemannian and group theoretical methods on non-linear transformation spaces
  • Advanced statistics on deformations and shapes
  • Metrics for computational anatomy
  • Geometry and statistics of surfaces

The program will be composed of keynotes addressed by invited speakers and contributions of participants. To foster interactions as much as possible, a large amount of time will be reserved for discussions after each presentation or at least at the end of each session.


Program committee

  • Ian L. Dryden (University of Nottingham, UK)
  • Olivier Faugeras (INRIA Sophia-Antipolis, France)
  • Tom Fletcher (University of Utah, USA)
  • James Gee (University of Pennsylvania, USA)
  • Guido Gerig (University of North Carolina at Chapel Hill, USA)
  • Stephen Marsland (Massey University, New-Zeeland)
  • Michael I. Miller (John Hopkins University,USA)
  • Mads Nielsen (IT University of Copenhagen, Denmark)
  • Jerry Prince (Johns Hopkins University, USA)
  • Anand Rangarajan (University of Florida, USA)
  • Paul Thompson (University of California Los-Angeles, USA)
  • Alain Trouvé (ENS-Cachan, France)
  • Carole Twinning (University of Manchester, UK)
  • Guillermo Sapiro (University of Minnesota, USA)
  • Hemant D. Tagare (Yale School of Medicine of Connecticut New Haven, USA)
  • Baba Vemuri (University of Florida, USA)
  • Ross T. Whitaker(University of Utah, USA)
  • Laurent Younes (Johns Hopkins University, USA)


Réalisation Service IST INRIA Sophia Antipolis Méditerranée / Laboratoire I3S