The Variational Functional Framework
Jean‐Charles Pinoli · 2014
The variational functional framework deals with the use of “Calculus of Variations” on functionals defined on suitable classes of gray-tone functions. In the variational functional framework , a gray-tone image is generally represented by a square-integrable gray-tone function. The basic idea is to consider that the resulting gray-tone image of a processing or an analysis is the solution of a variational problem or, in other words, that this gray-tone function minimizes a suitable functional operating in an appropriate gray-tone function space. This chapter deals with the mathematical structures, main approaches for IPA, and main applications for IPA.