HAL : hal-00267628, version 1

DOI : 10.1007/11907350_11

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Discrete Geometry for Computer Imagery, Szeged : Hungary (2006)

A Geometry Driven Reconstruction Algorithm for the Mojette Transform

Nicolas Normand (  Auteur correspondant ) 1, Andrew Kingston, Pierre Évenou 1

(10/2006)

The Mojette transform is an entirely discrete form of the Radon transform developed in 1995. It is exactly invertible with both the forward and inverse transforms requiring only the addition operation. Over the last 10 years it has found many applications including image watermarking and encryption, tomographic reconstruction, robust data transmission and distributed data storage. This paper presents an elegant and efficient algorithm to directly apply the inverse Mojette transform. The method is derived from the inter-dependance of the ``rational'' projection vectors (pi,qi) which define the direction of projection over the parallel set of lines b = pil -- qik. Projection values are acquired by summing the value of image pixels, f(k,l), centered on these lines. The new inversion is up to 5 times faster than previously proposed methods and solves the redundancy issues of these methods.

1 :	Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN)
	CNRS : UMR6597 – Université de Nantes – École Centrale de Nantes – Ecole des Mines de Nantes – Ecole Polytechnique de l'Université de Nantes

Domaine

:

Informatique/Traitement du signal et de l'image

Mots Clés : Mojette transform

hal-00267628, version 1

http://hal.archives-ouvertes.fr/hal-00267628/fr/

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Contributeur : Nicolas Normand <>

Soumis le : Jeudi 27 Mars 2008, 18:57:04

Dernière modification le : Vendredi 28 Mars 2008, 11:48:10