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Optimization strategies for sparseness- and continuity- enhanced imaging : Theory Herrmann, Felix J.; Moghaddam, Peyman P.; Kirlin, Rodney L.

Abstract

Two complementary solution strategies to the least-squares migration problem with sparseness- & continuity constraints are proposed. The applied formalism explores the sparseness of curvelets on the reflectivity and their invariance under the demigration migration operator. Sparseness is enhanced by (approximately) minimizing a (weighted) l1-norm on the curvelet coefficients. Continuity along imaged reflectors is brought out by minimizing the anisotropic difussion or total variation norm which penalizes variations along and in between reflectors. A brief sketch of the theory is provided as well as a number of synthetic examples. Technical details on the implementation of the optimization strategies are deferred to an accompanying paper: implementation.

Item Metadata

Title
Optimization strategies for sparseness- and continuity- enhanced imaging : Theory
Creator
Herrmann, Felix J.; Moghaddam, Peyman P.; Kirlin, Rodney L.
Contributor
University of British Columbia. Seismic Laboratory for Imaging and Modeling
Publisher
European Association of Geoscientists & Engineers
Date Issued
2005
Description
Two complementary solution strategies to the least-squares migration problem with sparseness- & continuity constraints are proposed. The applied formalism explores the sparseness of curvelets on the reflectivity and their invariance under the demigration migration operator. Sparseness is enhanced by (approximately) minimizing a (weighted) l1-norm on the curvelet coefficients. Continuity along imaged reflectors is brought out by minimizing the anisotropic difussion or total variation norm which penalizes variations along and in between reflectors. A brief sketch of the theory is provided as well as a number of synthetic examples. Technical details on the implementation of the optimization strategies are deferred to an accompanying paper: implementation.
Extent
1031304 bytes
Subject
Least-squares migration problem; Curvelets; Reflectivity; Migration deconvolution; Anisotropic diffusion; Sparseness
Genre
Conference Paper
Type
Text
File Format
application/pdf
Language
eng
Date Available
2008-02-28
Provider
Vancouver : University of British Columbia Library
Rights
All rights reserved
DOI
10.14288/1.0107395
URI
http://hdl.handle.net/2429/500
Affiliation
Science, Faculty of; Earth and Ocean Sciences, Department of
Citation
Herrmann, Felix J., Moghaddam, Peyman Poor, Kirlin, Rodney L. 2005. Optimization strategies for sparseness- and continuity- enhanced imaging: Theory. EAGE 67th Conference & Exhibition Proceedings.
Peer Review Status
Unreviewed
Scholarly Level
Faculty; Other
Copyright Holder
Herrmann, Felix J.
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DSpace

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