Sparse Signal Recovery in a Transform Domain: Theory and Application - Softcover

Lebed, Evgeniy

 
9783639156768: Sparse Signal Recovery in a Transform Domain: Theory and Application

Synopsis

The ability to efficiently and sparsely represent seismic data is becoming an increasingly important problem in geophysics. Over the last 30 years many transforms such as wavelets, curvelets, contourlets, surfacelets, shearlets, and many other types ofx-lets have been developed. Such transform were leveraged to resolve this issue. In this work we compare the properties of four of these commonly used transforms, namely the shift-invariant wavelets, complex wavelets, curvelets and surfacelets. We also explore the performance of these transforms for the problem of recovering seismic wavefields from incomplete physical and frequency measurements.

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About the Author

Evgeniy Lebed, M.Sc., received Bachelor of Science in Applied Mathematics from Simon Fraser University and Master of Science in Mathematics from University of British Columbia. He is currently completing Ph.D. in Engineering.

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