Seismic data analysis with dual-tree M-band wavelet transforms

Seismic Data Analysis With Dual-Tree M-Band Wavelet Transforms Laurent Duval (Institut Français du Pétrole (IFP)) Caroline Chaux (ARIANA research group) and Stéphan Ker (IFREMER Marine Geosciences Department) SUMMARY____________________________________________________________ The complexity of seismic data still challenges signal processing algorithms in several applications. The rediscovery of wavelet transforms by J.Morlet et al. has allowed improvements in addressing several data representation (local analysis compression) and restoration problems. However despites their achievements traditional approaches based on discrete and separable (both for computational purposes) wavelets fail at efficiently representing directional or higher dimensional data features such as line or plane singularities especially in severe noise