Radial Basis Functions for the image analysis of deformations

In this work we tested the reliability of Radial Basis Function theory (RBF) for the image analysis of deformations. RBF conformal transformation allows to map the original image onto the deformed one using only a few RBF centres to control the field. The backward transformation (i.e. with centres located at target positions and a displacement field that move them in the original positions) allows to obtain a deformed image from the original one using a few control points. A proper points' placement allows to generate a parametric morphed image that can carefully overlap the actual deformed one. Whilst the overall procedure consists in the minimisation of the matching error acting on the control parameters (i.e. unknown displacements at control points), in this study we have successfully verified the feasibility of the method feeding the image morpher with the actual displacements at RBF points.