Shape theory

Thursday, April 6, 2006 - 1:30pm - 2:30pm
Jean-Paul Zolesio (Institut National de Recherche en Informatique Automatique (INRIA))
We introduce the TUBE connection for
domains with finite perimeters; Then a metric
and we characterise the necessary condition for
the geodesic tube. We obtain a complete metric
space of Shapes with non prescribed toplogy.
That metric extends the Courant metric
developed in the book Shape and Geometry
(Delfour and Z) , SIAM 2001.
Thursday, April 6, 2006 - 10:30am - 11:30am
Laurent Younes (Johns Hopkins University)
We present a series of applications of the Jacobi evolution equations along
geodesics in groups of diffeomorphisms. We describe, in particular, how they
can be used to perform feasible gradient descent algorithms for image
matching, in several situations, and illustrate this with 2D and 3D
experiments. We also discuss parallel translation in the group, with its
projections on shape manifolds, and focus in particular on an implementation
of the associated equations using iterated Jacobi fields.
Wednesday, April 5, 2006 - 2:45pm - 3:45pm
Benjamin Kimia (Brown University)
no abstract
Wednesday, April 5, 2006 - 9:00am - 10:00am
Kanti Mardia (University of Leeds)
We discuss some new statistical methods for matching configurations of
points in space where the points are either unlabelled or have at most
a partial labelling constraining the match. The aim is to draw
simultaneous inference about the matching and the transformation.
Various questions arise: how to incorporate concommitant information?
How to simulate realistic configurations? What are the implementation
issues? What is the effect of multiple comparisons when a large data
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