G
Gregory Beylkin
Researcher at University of Colorado Boulder
Publications - 141
Citations - 10580
Gregory Beylkin is an academic researcher from University of Colorado Boulder. The author has contributed to research in topics: Multiresolution analysis & Wavelet. The author has an hindex of 42, co-authored 140 publications receiving 9991 citations. Previous affiliations of Gregory Beylkin include New York University & University of Tennessee.
Papers
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Fast wavelet transforms and numerical algorithms I
TL;DR: The algorithms presented here are based on the recently developed theory of wavelets and are applicable to all Calderon-Zygmund and pseudo-differential operators, and indicate that many previously intractable problems become manageable with the techniques presented here.
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Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform
TL;DR: In this paper, the linearized inverse scattering problem is formulated in terms of an integral equation in a form which covers wave propagation in fluids with constant and variable densities and in elastic solids.
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On the representation of operators in bases of compactly supported wavelets
TL;DR: Beylkin and Rokhlin this paper presented exact and explicit representations of the differential operators in orthonormal bases of compactly supported wavelets as well as the representations of Hilbert transform and fractional derivatives.
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A new slant on seismic imaging: Migration and integral geometry
TL;DR: In this paper, the authors formalize the classical diffraction stack by relating it to linearized seismic inversion and the generalized Radon transform, which can handle both complex velocity models and arbitrary configurations of sources and receivers.
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Discrete radon transform
TL;DR: It is shown that the DRT can be used to compute various generalizations of the classical Radon transform (RT) and, in particular, the generalization where straight lines are replaced by curves and weight functions are introduced into the integrals along these curves.