The problem of object restoration in the case of spatially incoherent illumination is considered. A regularized solution to the inverse problem is obtained through a probabilistic approach, and a numerical algorithm based on the statistical analysis of the noisy data is presented. Particular emphasis is placed on the question of the positivity constraint, which is incorporated into the probabilistically regularized solution by means of a quadratic programming technique. Numerical examples illustrating the main steps of the algorithm are also given.
© 2000 Optical Society of America
Original Manuscript: November 19, 1999
Revised Manuscript: April 13, 2000
Manuscript Accepted: April 13, 2000
Published: November 1, 2000
Enrico De Micheli and Giovanni Alberto Viano, "Probabilistic regularization in inverse optical imaging," J. Opt. Soc. Am. A 17, 1942-1951 (2000)