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A projected Newton-CG method for nonnegative astronomical image deblurring

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Abstract

Astronomical images are usually assumed to be corrupted by a space-invariant Point Spread Function and Poisson noise. In this paper we propose an original projected inexact Newton method for the solution of the constrained nonnegative minimization problem arising from image deblurring. The problem is ill-posed and the objective function must be regularized. The inner system is inexactly solved by few Conjugate Gradient iterations. The convergence of the method is proved and its efficiency is tested on simulated astronomical blurred images. The results show that the method produces good reconstructed images at low computational cost.

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Authors and Affiliations

  1. Department of Mathematics, University of Bologna, Bologna, Italy

    G. Landi & E. Loli Piccolomini

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  1. G. Landi
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  2. E. Loli Piccolomini
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Correspondence to E. Loli Piccolomini.

Additional information

Supported by the Italian MIUR Project Inverse Problems in Medicine and Astronomy 2006–2008.

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Landi, G., Loli Piccolomini, E. A projected Newton-CG method for nonnegative astronomical image deblurring. Numer Algor 48, 279–300 (2008). https://doi.org/10.1007/s11075-008-9198-3

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  • DOI: https://doi.org/10.1007/s11075-008-9198-3

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