- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Faculty Research and Publications /
- Curvelet-domain least-squares migration with sparseness...
Open Collections
UBC Faculty Research and Publications
Curvelet-domain least-squares migration with sparseness constraints. Herrmann, Felix J.; Moghaddam, Peyman P.
Abstract
A non-linear edge-preserving solution to the least-squares migration problem with sparseness constraints is introduced. The applied formalism explores Curvelets as basis functions that, by virtue of their sparseness and locality, not only allow for a reduction of the dimensionality of the imaging problem but which also naturally lead to a non-linear solution with significantly improved signalto-noise ratio. Additional conditions on the image are imposed by solving a constrained optimization problem on the estimated Curvelet coefficients initialized by thresholding. This optimization is designed to also restore the amplitudes by (approximately) inverting the normal operator, which is like-wise the (de)-migration operators, almost diagonalized by the Curvelet transform.
Item Metadata
Title |
Curvelet-domain least-squares migration with sparseness constraints.
|
Creator | |
Contributor | |
Publisher |
European Association of Geoscientists and Engineers
|
Date Issued |
2004
|
Description |
A non-linear edge-preserving solution to the least-squares migration problem with sparseness constraints is introduced. The applied formalism explores Curvelets as basis functions that, by virtue of their sparseness and locality, not only allow for a reduction of the dimensionality of the imaging problem but which also naturally lead to a non-linear solution with significantly improved signalto-noise ratio. Additional conditions on the image are imposed by solving a constrained optimization problem on the estimated Curvelet coefficients initialized by thresholding. This optimization is designed to also restore the amplitudes by (approximately) inverting the normal operator, which is like-wise the (de)-migration operators, almost diagonalized by the Curvelet transform.
|
Extent |
882544 bytes
|
Subject | |
Genre | |
Type | |
File Format |
application/pdf
|
Language |
eng
|
Date Available |
2008-02-25
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
All rights reserved
|
DOI |
10.14288/1.0107381
|
URI | |
Affiliation | |
Citation |
Herrmann, Felix J., Moghaddam, Peyman. Curvelet-domain least-squares migration with sparseness constraints. 2004. EAGE 66th Conference & Exhibition Proceedings.
|
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty; Other
|
Copyright Holder |
Herrmann, Felix J.
|
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
All rights reserved