Fast communication: Generalized multi-directional discrete Radon transform

Authors:
Ines Elouedi;R. Fournier;A. Nait-Ali;A. Hamouda
Affiliations:
The Sciences Institute, Computer Technology Department Tunisia, Research Unit of programming, Algorithmic and Heuristics(URPAH), Tunis, Tunisia;Université Paris Est-Creteil, Laboratoire d'Images, Signaux et Systèmes Intelligents (LISSI), Paris, France;Université Paris Est-Creteil, Laboratoire d'Images, Signaux et Systèmes Intelligents (LISSI), Paris, France;The Sciences Institute, Computer Technology Department Tunisia, Research Unit of programming, Algorithmic and Heuristics(URPAH), Tunis, Tunisia
Venue:
Signal Processing
Year:
2013

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Abstract

This paper presents a discrete generalized multi-directional Radon transform (GMDRT) and its exact inversion algorithm. GMDRT is an extension of the classical Radon transform. It aims to project parameterized curves and geometric objects following several directions. For this purpose, we propose an algebraic formalism of the Radon Transform presenting the forward transform as a matrix-vector_ multiplication. We show in this paper that the exact inversion of the GMDRT exists. This property allows useful applications, in the field of digital image processing.