The objective of this project
is to develop the theory and algorithms
of wave propagation and imaging in the wavelet domain for direct
application to compressed seismic data. We will strive to find optimum
algorithms for both compression and processing of which imaging is the
heart. The newly developed fast wavelet transform (WT) is considered to be
a revolutionary breakthrough in signal analysis/processing. In the same
time frame, there has been significant progress in one-way wave propagation
theory and algorithms, including the recently developed fast acoustic and
elastic generalized screen propagators from our group. We will apply the
wavelet transform to the generalized screen or other one-way wave
propagation methods to develop efficient 3D imaging and modeling methods.
The cross-breeding of these two new developments has the potential of
revolutionizing modeling and imaging techniques for complex Earth media.
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