27 Marzo, 2009 14:00
Sezione di Geometria, Algebra e loro applicazioni
Using Tomography in Digital Plane to solve problems of Geometric Tomography.
Alain Daurat, Universite Louis Pasteur of Strasbourg
Dipartimento di Matematica, Sala Consiglio, VII piano
Abstract
In this talk we will study the problem of determining in a constructive way a convex body in the plane from its tomographic projections. For this, we consider the similar problem in digital plane: reconstructing a lattice convex set from its discrete tomographic projection. We show that we can use a reconstruction algorithm for the discrete problem to solve the continuous reconstruction to any precision. The proof of this result uses stability properties of geometric tomography. An extension to point-source tomographic projections is also investigated.