Astronomical image representation by the curvelet transform

Details Astronomical image representation by the curvelet transform Astronomical image representation by the curvelet transform

Feb 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003a%26a...398..785s&link_type=abstract

Astronomy and Astrophysics, v.398, p.785-800 (2003)

Astronomy and Astrophysics

Astrophysics

31

Methods: Data Analysis, Techniques: Image Processing

Scientific paper

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.

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