On a regularized approach for the method of fundamental solutionMS2

The method of fundamental solution is a boundary meshless method recently adopted in the framework of non-invasive neuroimaging techniques. The method approximates the solution of a BVP by a linear combination of fundamental solutions of the governing PDE. A crucial feature of the method is the placement of the fictitious boundary to avoid the singularities of fundamental solutions. In this paper we report on our experiences with a regularized MFS method in the neuroimaging context.

This presentation is part of Minisymposium “MS2 - Interpolation and Approximation Methods in Imaging (4 parts)
organized by: Alessandra De Rossi (University of Torino) , Costanza Conti (University of Firenze) , Francesco Dell'Accio (University of Calabria) .

Marta Paliaga (University of Palermo)
Elisa Francomano (University of Palermo)
Gregory Fasshauer (Colorado School of Mines)
Michael McCourt (SigOPT, San Francisco)
Salvatore Ganci ( Worldenergy SA, Greenconnector)
Guido Ala (University of Palermo)