Abstract

Mechanical vibrations are often the principal cause of image degradation. Low temporal-frequency mechanical vibrations involve random image degradation that depends on the instant of exposure. Exact restoration requires the calculation of a specific filter unique to each vibrated image. To calculate the restoration filter for each image, one needs the specific optical transfer function unique to the motion in the image. Therefore the instant of exposure and the motion function have to be measured or estimated by some other means. We develop a restoration filter for individual images blurred randomly by low-frequency mechanical vibrations. The filter is independent of the instant of exposure. The filter is designed to give its best performance averaged over a complete ensemble of vibrated images. Although when applying the new filter to any vibrated image the restoration achieved is slightly poorer than that achieved with an exact filter unique to the specific motion function, the new filter has the advantage of simplicity.

© 1998 Optical Society of America

Enhanced-resolution image restoration from a sequence of low-frequency vibrated images by use of convex projections

Adrian Stern, Yoav Porat, Avner Ben-Dor, and Norman S. Kopeika
Appl. Opt. 40(26) 4706-4715 (2001)

Image restoration from vibrating photographic systems

Zeev Zalevsky, Ido Raveh, David Mendlovic, and Adolf W. Lohmann
Appl. Opt. 38(29) 6205-6212 (1999)

Direct method for restoration of motion-blurred images

Y. Yitzhaky, I. Mor, A. Lantzman, and N. S. Kopeika
J. Opt. Soc. Am. A 15(6) 1512-1519 (1998)

Analytical method to calculate optical transfer functions for image motion and vibrations using moments

A. Stern and N. S. Kopeika
J. Opt. Soc. Am. A 14(2) 388-396 (1997)

Restoration of images captured by a staggered time delay and integration camera in the presence of mechanical vibrations

Gadi Hochman, Yitzhak Yitzhaky, Norman S. Kopeika, Yair Lauber, Meira Citroen, and Adrian Stern
Appl. Opt. 43(22) 4345-4354 (2004)