Published January 21, 2003
| Published
Journal Article
Open
Astronomical image representation by the curvelet transform
- Creators
- Starck, J. L.
- Donoho, D. L.
- Candès, E. J.
Abstract
We outline digital implementations of two newly developed multiscale representation systems, namely, the ridgelet and curvelet transforms. We apply these digital transforms to the problem of restoring an image from noisy data and compare our results with those obtained via well established methods based on the thresholding of wavelet coefficients. We show that the curvelet transform allows us also to well enhance elongated features contained in the data. Finally, we describe the Morphological Component Analysis, which consists in separating features in an image which do not present the same morphological characteristics. A range of examples illustrates the results.
Additional Information
© 2003 ESO. Received: 12 April 2002. Accepted: 29 October 2002. We are grateful to the referee for helpful comments on an earlier version.Attached Files
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Additional details
- Eprint ID
- 84988
- Resolver ID
- CaltechAUTHORS:20180228-083442449
- Created
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2018-02-28Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field