This paper deals with the long-standing problem of reconstructing an optical object of known finite spatial extent from an image that is a noisy low-pass-filtered version of the object. The development of a number of iterative reconstruction algorithms in recent years has created a resurgence of interest in this topic. We consider several reconstruction algorithms from a point of view that illuminates their performance in the presence of noise. We also introduce a new iterative reconstruction algorithm and compare its performance with that of an earlier algorithm proposed by Gerchberg.
© 1980 Optical Society of America
C. K. Rushforth and R. L. Frost, "Comparison of some algorithms for reconstructing space-limited images," J. Opt. Soc. Am. 70, 1539-1544 (1980)