E. Thiebaut et Jm. Conan, STRICT A-PRIORI CONSTRAINTS FOR MAXIMUM-LIKELIHOOD BLIND DECONVOLUTION, Journal of the Optical Society of America. A, Optics, image science,and vision., 12(3), 1995, pp. 485-492
We present a maximum-likelihood approach to improve blind deconvolutio
n of an image. Blind deconvolution is performed through the minimizati
on of an error function by use of the conjugate gradient method, as su
ggested by Lane [J. Opt. Soc. Am. A 9, 1508 (1992)]. We show how to im
plement strict constraints, such as image positivity, using a reparame
terization. As an example, the point-spread function can be described
by phase aberrations in the case of speckle imaging. The improvement b
rought by the use of strict rather than loose constraints is demonstra
ted on both simulated and real data. Different noise levels and object
types are considered.