EDP Sciences
Free access
Volume 398, Number 2, February I 2003
Page(s) 785 - 800
Section Physical and chemical processes
DOI http://dx.doi.org/10.1051/0004-6361:20021571

A&A 398, 785-800 (2003)
DOI: 10.1051/0004-6361:20021571

Astronomical image representation by the curvelet transform

J. L. Starck1, D. L. Donoho2 and E. J. Candès3

1  DAPNIA/SEDI-SAP, Service d'Astrophysique, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, France
2  Department of Statistics, Stanford University, Sequoia Hall, Stanford, CA 94305, USA
3  Department of Applied Mathematics, Mail Code 217-50, California Institute of Technology, Pasadena, CA 91125, USA

(Received 12 April 2002 / Accepted 29 October 2002)

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.

Key words: methods: data analysis -- techniques: image processing

Offprint request: J. L. Starck, jstarck@cea.fr

SIMBAD Objects

© ESO 2003

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access.

An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account.
    In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.