The Nonlinear Rescaling

Because the process of observation deenes a natural topological nesting of geometric structures of the jet bundle, we propose to model this process by a nonlinear evolution equation that we may obtain upon changing gradually the metric underlying the linear isotropic rescaling process. We a propose to derive a nonlinear rescaling process that is connected to the linear isotropic rescaling process by an one-to-one mapping. In order to study the scale space generated by this nonlinear rescaling process, we propose to use the linear rescaling process.