Generalized multi-directional discrete Radon transform

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 France English Publisher:Elsevier BVJournal:Signal Processing, volume 93, pages 345-355 (issn: 0165-1684,

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Authors: Elouadi, Ines; Fournier, Régis; Nait-Ali, Amine; Hamouda, Atef;

doi: 10.1016/j.sigpro.2012.07.031

Generalized multi-directional discrete Radon transform

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Abstract

This paper presents a discrete generalized multi-directional Radon transform (GMDRT)1 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.

Country

France

Related Organizations

Paris-East Créteil University
France

Keywords

Exact inversion, Algebraic formalism, [INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV], [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, Discrete generalized Radon multi directions transform, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing

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