Continuity along reflectors in seismic images is used via Curvelet representation to stabilize the convolution operator inversion. The Curvelet transform is a new multiscale transform that provides sparse representations for images that comprise smooth objects separated by piece-wise smooth discontinuities (e.g. seismic images). Our iterative Curvelet-regularized deconvolution algorithm combine...

Geophysical phenomena of interest to geoscientists include both atmospheric and terrestrial related processes, which can be either static or dynamic. Characterization of such phenomena requires advanced models which often include scale invariance concepts of fractal or multi-fractal type. Recently, there has been much interdisciplinary interest in the application of geophysical processes. The a...