Discrete bandelets with geometric orthogonal filters

Gabriel Peyré (1) , Stéphane Mallat (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

This paper describes the construction of second generation bandelet orthogonal bases. The decomposition on a bandelet basis is computed using a wavelet filter bank followed by adaptive geometric orthogonal filters, that require O(N) operations. The resulting geometry is multiscale and calculated with a fast procedure that minimizes a Lagrangian cost at each scale. Image compression with the resulting bandelet transform code gives significantly better results than a wavelet transform code.

Mots clés: Bandlets; image compression; wavelet; geometric images

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

Gabriel Peyré, Stéphane Mallat. Discrete bandelets with geometric orthogonal filters. IEEE International Conference on Image Processing, 2005. (ICIP 2005), Sep 2005, Genova, Italy. pp.65-68, ⟨10.1109/ICIP.2005.1529688⟩. ⟨hal-00365624⟩