A constrained least-squares solution based on a second difference smoothing measure is obtained for images which are distorted by a bilinear (quadratic and with nonzero memory) system in the presence of additive signal-independent noise. Results are applied to a partially coherent diffraction-limited imaging system. It is found that the optimum weight given to the smoothness factor is larger for a coherent (nonlinear) system than for an incoherent (linear) system. However, the restoration quality improves as the imaging system approaches incoherence.
© 1983 Optical Society of America
Original Manuscript: July 5, 1983
Published: November 15, 1983
M. Rabbani and B. E. A. Saleh, "Restoration of bilinearly distorted images. 3: Constrained least-squares method," Appl. Opt. 22, 3549-3554 (1983)