[OPTICAL REVIEW Vol. 16, No. 6 (2009) 587-593]
© 2009 The Optical Society of Japan

Deconvolution of Background-Subtracted Shift-and-Add Image by a Modeled Point-Spread-Function

Susumu KUWAMURA*, Fumiaki TSUMURAYA1, Makoto SAKAMOTO1, Noriaki MIURA, and Naoshi BABA2

Department of Computer Sciences, Kitami Institute of Technology, 165 Koen-cho, Kitami, Hokkaido 090-8507, Japan
1Nishi-Harima Astronomical Observatory, Sayo, Hyogo 679-5313, Japan
2Division of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan

(Received March 30, 2009; Accepted August 10, 2009)

Shift-and-add (SAA) is a simple method for celestial speckle imaging. However, the raw SAA-image, a direct output of the SAA operations, is not useful, because a seeing-dependent huge background is superimposed on the high-resolution image of the object. To obtain the latter, a background subtraction (BGS) is applied on the raw SAA-image. The BGS-image so obtained includes negativities due to an over-subtraction that causes brightnesses of the object's image biased downward. The negativity in the BGS-image can be removed by a deconvolution with a point-spread-function (PSF) that has negative values. In this paper, we model the PSF with a shape that possesses peak and concave portions, and perform a deconvolution by iteratively estimating the object's image and the model parameters. The simulated experiment has shown that the present algorithm can restore the object's image with unbiased brightnesses. Processing the observed speckle data of Io (a Jupiter satellite) by the present method has yielded a feasible Io image with reduced negativities.

Key words: image processing, stellar speckle imaging, shift-and-add, background subtraction, deconvolution, modeled point-spread-function, negativity, Io

*E-mail address: kuwamura@cs.kitami-it.ac.jp