Curvelet-domain preconditioned 'wave-equation' depth-migration with sparseness and illumination constraints

TitleCurvelet-domain preconditioned 'wave-equation' depth-migration with sparseness and illumination constraints
Publication TypeConference
Year of Publication2004
AuthorsFelix J. Herrmann, Peyman P. Moghaddam
Conference NameEAGE Annual Conference Proceedings
Month06
OrganizationEAGE
KeywordsSLIM
Abstract

A non-linear edge-preserving solution to the least-squares migration problem with sparseness constraints is introduced. The applied formalism explores Curvelets as basis functions that, by virtue of their sparseness and locality, not only allow for a reduction of the dimensionality of the imaging problem but which also naturally lead to a non-linear solution with significantly improved signal- to-noise ratio. Additional conditions on the image are imposed by solving a constrained optimization problem on the estimated Curvelet coefficients initialized by thresholding. This optimization is designed to also restore the amplitudes by (approximately) inverting the normal operator, which is like-wise the (de)-migration operators, almost diagonalized by the Curvelet transform.

URLhttps://slim.gatech.edu/Publications/Public/TechReport/2004/herrmann2004EAGEcdp/herrmann2004EAGEcdp.pdf
Citation Keyherrmann2004EAGEcdp