Deconvolution with curvelet-domain sparsity

TitleDeconvolution with curvelet-domain sparsity
Publication TypeConference
Year of Publication2008
AuthorsVishal Kumar, Felix J. Herrmann
Conference NameSEG Technical Program Expanded Abstracts
KeywordsPresentation, SEG, SLIM

There is an inherent continuity along reflectors of a seismic image. We use the recently introduced multiscale and multidirectional curvelet transform to exploit this continuity along reflectors for cases in which the assumption of spiky reflectivity may not hold. We show that such type of seismic reflectivity can be represented in the curvelet-domain by a vector whose entries decay rapidly. This curvelet-domain compression of reflectivity opens new perspectives towards solving classical problems in seismic processing including the deconvolution problem. In this paper, we present a formulation that seeks curvelet-domain sparsity for non-spiky reflectivity and we compare our results with those of spiky deconvolution.

Citation Keykumar2008SEGdwc