  In this paper, it is presented a methodology to estimate the deformation
involved between two objects attending to its physical properties. This
methodology can be used, for example, in Computational Vision or Computer
Graphics applications, and consists in physically modeling the objects, by
means of the Finite Elements Method, establishing correspondences between some
of its data points, by using Modal Matching, and finally, determining the
displacement field, that is the intermediate shapes, through the resolution of
the Lagrange Dynamic Equilibrium Equation. As in many of the possible
applications of the methodology to present, it is necessary to quantify the
existing deformation, as well as to estimate only the non rigid component of
the involved global deformation. The solutions adopted to satisfy such
intentions will be also presented.
