Lf. Yu et Ll. Cai, Iterative algorithm with a constraint condition for numerical reconstruction of a three-dimensional object from its hologram, J OPT SOC A, 18(5), 2001, pp. 1033-1045
A novel, method to obtain the three-dimensional mathematical model of a tra
nsparent object from its hologram is presented. The proposed method can num
erically extract the object information from the fringe pattern of the holo
gram. Then an iterative algorithm is used to imitate an imaging system by f
ocusing on different layers of the object; and by operating in both the spa
tial domain and the frequency domain, the algorithm produces a series of tw
o-dimensional layer images. The object is finally reconstructed layer by la
yer. A constraint condition should be satisfied, and the noise distribution
can be rearranged in different reconstruction cycles so as to get better r
econstruction duality. Numerical simulations have proved the effectiveness
of the proposed method. (C) 2001 Optical Society of America.