The mojette transform: the first ten years

Authors:
JeanPierre Guédon;Nicolas Normand
Affiliations:
Laboratoire IRCCyN, Team Image & Video Communications CNRS UMR 6795, École polytechnique de l'Université de Nantes La Chantrerie Rue Christian Pauc, Nantes;Laboratoire IRCCyN, Team Image & Video Communications CNRS UMR 6795, École polytechnique de l'Université de Nantes La Chantrerie Rue Christian Pauc, Nantes
Venue:
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Year:
2005

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Abstract

In this paper the Mojette transforms class is described. After recalling the birth of the Mojette transform, the Dirac Mojette transform is recalled with its basic properties. Generalizations to spline transform and to nD Mojette transform are also recalled. Applications of the Mojette transform demonstrate the power of frame description instead of basis in order to match different goals ranging from image coding, watermarking, discrete tomography, transmission and distributed storage. Finally, new insights for the future trends of the Mojette transform are sketched.