A&A 434, 795-800 (2005)
DOI: 10.1051/0004-6361:20035754

Multiple-image deblurring with spatially-variant point spread functions

R. Vio^{1, 2}, J. Nagy³ and W. Wamsteker<sup>4

1</sup>  Chip Computers Consulting s.r.l., Viale Don L. Sturzo 82, S.Liberale di Marcon, 30020 Venice, Italy
    e-mail: robertovio@tin.it
²  ESA-VILSPA, Apartado 50727, 28080 Madrid, Spain
³  Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA
    e-mail: nagy@mathcs.emory.edu
⁴  ESA-VILSPA, Apartado 50727, 28080 Madrid, Spain
    e-mail: willem.wamsteker@esa.int

(Received 27 November 2003 / Accepted 3 January 2005)

Abstract
We generalize a reliable and efficient algorithm, to deal with the case of spatially-variant PSFs. The algorithm was developed in the context of a least-square (LS) approach, to estimate the image corresponding to a given object when a set of observed images are available with different and spatially-invariant PSFs. Noise is assumed additive and Gaussian. The proposed algorithm allows the use of the classical LS single-image deblurring techniques for the simultaneous deblurring of the observed images, with obvious advantages both for computational cost and ease of implementation. Its performance and limitations, also in the case of Poissonian noise, are analyzed through numerical simulations. In an appendix we also present a novel, computationally efficient deblurring algorithm that is based on a Singular Value Decomposition (SVD) approximation of the variant PSF, and which is usable with any standard space-invariant direct deblurring algorithm. The corresponding Matlab code is made available.

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

© ESO 2005

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.