Numerical methods for Mellin integral equations with applications in Imaging Science MS2

The talk is devoted to the study of suitable Nystrom Methods, based on global polynomial approximation, for boundary integral equations of second kind. An application to the planar radiosity equation will be given. This approach represents a first step in the study of the spatial radiosity equation, which relates the brightness at points of a surface to the reflectivity and emissivity at such points, and also to the geometric shape of the surface.

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) .

Donatella Occorsio (University of Basilicata)
Maria Grazia Russo (University of Basilicata)
integral equations for image analysis, radiosity equation