The Mojette Transform: The First Ten Years

Jean-Pierre Guédon (1) , Nicolas Normand (1)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

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.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Jean-Pierre Guédon, Nicolas Normand. The Mojette Transform: The First Ten Years. Discrete Geometry for Computer Imagery, Apr 2005, Poitiers, France. pp.79-91, ⟨10.1007/b135490⟩. ⟨hal-00267621⟩