The analysis of shapes by currents and extensions
vendredi 7 juin 2013, 11h00 - 12h00
In my talk, I will briefly present the general approach of Large deformation modelling (LDDMM) for registration, i.e the estimation of optimal deformation between two shapes. I will then focus more specifically on the case of submanifolds such as curves and surfaces for which the definition of appropriate data attachment metrics is a particularly delicate issue. The idea of currents is a way to overcome the problem of point to point correspondence between objects. I will finally present a recent extension of currents for the representation of shapes carrying a signal data, or equivalently images defined on deformable geometrical supports and show a few numerical results of this framework.