Joint estimation of object and aberrations by using phase diversity

Richard G. Paxman, Timothy J. Schulz, James R. Fienup
1992 Optical Society of America. Journal A: Optics, Image Science, and Vision  
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
more » ... ted for the case of Poisson noise. An expectation-maximization algorithm that enforces a structed for use in the Poisson noise case.
doi:10.1364/josaa.9.001072 fatcat:fqagkezhsbbzjiguaw4opsu3eu