A New Approach for the Reconstruction of Object-Based Images in Discrete Tomography

Issue title: Strategies for Tomography

Article type: Research Article

Authors: Brocchi, Stefano

Affiliations: Dipartimento di Matematica e Informatica ‘U. Dini’, Università degli Studi di Firenze, Viale Morgagni 65, 50134 Firenze, Italy. [email protected]

Note: [] Address for correspondence: Dipartimento di Matematica e Informatica ‘U. Dini’, Università degli Studi di Firenze, Viale Morgagni 65, 50134 Firenze, Italy

Abstract: In this paper we tackle the problem of the reconstruction of object based images, specifically formed by a set of circles inside a ring. By analyzing the projections of the image, we are able to determine some coordinates corresponding to interest points that give significant information about features of the image of aid in the reconstruction. Our approach yields promising results in comparison to other methods in literature. Finally, we discuss how a similar approach could be extended to more complex problems deriving from tomographic applications, in order to develop an efficient method exploiting the prior knowledge assumed on an image.

DOI: 10.3233/FI-2014-1111

Journal: Fundamenta Informaticae, vol. 135, no. 1-2, pp. 43-57, 2014