1992
DOI: 10.1364/josaa.9.001072
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Joint estimation of object and aberrations by using phase diversity

Abstract: The joint estimation of an object and the aberrations of an incoherent imaging system from multiple images incorporating phase diversity is investigated. Maximum-likelihood estimation is considered under additive Gaussian and Poisson noise models. Expressions for an aberration-only objective function that accommodates an arbitrary number of diversity images and its gradient are derived for the case of a Gaussian noise model. Expressions for the log-likelihood function and its gradient are presented for the cas… Show more

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Cited by 471 publications
(351 citation statements)
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“…The arrow in the centre of the sunspot points to the solar disc centre. Paxman et al 1992;Löfdahl & Scharmer 1994;Paxman et al 1996). This technique allows a subtantial correction for the aberrations induced by both the telescope and the turbulent terrestrial atmosphere.…”
Section: Observations and Data Processingmentioning
confidence: 99%
“…The arrow in the centre of the sunspot points to the solar disc centre. Paxman et al 1992;Löfdahl & Scharmer 1994;Paxman et al 1996). This technique allows a subtantial correction for the aberrations induced by both the telescope and the turbulent terrestrial atmosphere.…”
Section: Observations and Data Processingmentioning
confidence: 99%
“…Our aim is to compare the asymmetries of Stokes V in the degraded profiles with those found in the original one and in the phase-diversity reconstructed data. Since we know the PSFs of the focused and defocused images exactly, we could apply a standard phase-diversity reconstruction algorithm (Gonsalves & Chidlaw 1979;Paxman et al 1992;Löfdahl & Scharmer 1994) and obtain a perfect reconstruction usinĝ…”
Section: Degradation and Phase-diversity Reconstructionmentioning
confidence: 99%
“…For this reason, the IMaX instrument onboard Sunrise was designed to use the phase-diversity, post-facto reconstruction algorithm (Paxman et al 1992;Vargas Domínguez 2009). In this paper, we focus on the interesting problem of testing how the spatial and spectral degradation produced by the Sunrise/IMaX combination affects circular polarization asymmetries and whether the post-reconstruction algorithms can help us extract reliable information (comparable to the unperturbed synthetic case) about them from degraded data.…”
Section: Introductionmentioning
confidence: 99%
“…A few papers in the literature are complementary in the description of the PD technique for image reconstruction (e.g. Gonsalves & Childlaw 1979;Gonsalves 1982;Paxman et al 1992;Löfdahl & Scharmer 1994;Paxman et al 1996). However, we summarize the most relevant items of the method as an introduction to this powerful tool for high resolution solar imaging and to report on our particular setting of parameters and assumptions to run the computing code.…”
Section: Data Processingmentioning
confidence: 99%