Full reconstruction of a layered elastic medium from P-SV slant-stack data

Discrete Time Solution of Plane P - SV Waves in a Plane Layered Medium

DISCRETE TIME SOLUTION OF PLANE P-SV WAVES IN A PLANE LAYERED MEDIUM by Clint Wellington Frasier Submitted to the Department of Earth and Planetary Sciences in partial fulfillment of the requirement for the degree of Doctor of Philosophy. For plane waves at normal incidence to a layered, elastic medium both the forward and inverse discrete time problems have been previously solved. Here, the fo...

Image Reconstruction from Incomplete Data

Image Reconstruction from Incomplete Data

Fast Slant Stack : A notion of Radon Transform for Data in a Cartesian Grid which is

We define a notion of Radon Transform for data in an n by n grid. It is based on summation along lines of absolute slope less than 1 (as a function either of x or of y), with values at non-Cartesian locations defined using trigonometric interpolation on a zero-padded grid. The definition is geometrically faithful: the lines exhibit no 'wraparound effects'. For a special set of lines equispaced ...

Scattering from Heterogeneous Elastic Layered Sea Beds

The specific goal of this research is to develop a model of acoustic scattering due to volume heterogeneity consistent with existing propagation models in elastic layered sea beds and therefore to provide a self-consistent theoretical basis for improving and upgrading current bottom interaction codes (such as GABIM). At this first stage of research, the model should be capable of explaining bac...