Research Note

Use of the single-image approach in multiple-image deblurring problems with Poissonian noise

¹ 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 e-mail: willem.wamsteker@esa.int

Received: 27 September 2004
Accepted: 1 June 2005

Abstract

It has been shown that the restoration of a set of images of a fixed object, blurred by different space-invariant point spread functions (PFS) and contaminated by additive Gaussian noise, can be reformulated as a standard single-image least-squares (LS) deblurring problem with remarkable advantages that concern both the computational burden as well as the storage memory. The only difficulty is represented by the fact that the resulting single-image can have negative values. In a recent paper by Anconelli et al. (2005, A&A, 430, 731) this approach has been coupled with the standard Richardson-Lucy (RL) algorithm. However, their way of dealing with negative values of the single-image is not the most appropriate one. In this note we propose a different method which provides better reconstructions and convergence rates.