Abstract
In this paper, a method of restoring longitudinal images is developed. By using the transfer function for longitudinal objects, and inverse filtering, a longitudinal image may be restored. The Fourier theory and sampling theorems for transverse images cannot be used directly in the longitudinal case. A modification and reasonable approximation are introduced. We have numerically established a necessary relationship between just-resolved longitudinal separation (after inverse filtering), noise level, and the taking conditions of object distance and lens diameter. An empirical formula is also found to well-fit the computed results. This formula may be of use for designing optical systems which are to image longitudinal details, such as in robotics or microscopy.
© 1988 Optical Society of America
Full Article | PDF ArticleMore Like This
Julian Bescos, Jorge H. Altamirano, Antonio Santisteban, and Javier Santamaria
Appl. Opt. 27(2) 419-424 (1988)
Wen-jun Yi, Wenhua Hu, Ping Wang, and Xiu-jian Li
Appl. Opt. 55(20) 5432-5438 (2016)
B. Roy Frieden
J. Opt. Soc. Am. 56(11) 1495-1501 (1966)