Abstract

There is an upper bound for the $L_1$ norm of the difference of two nonnegative object functions when they both produce the same data in a digital imaging system. This bound is achieved for a certain class of systems and an arbitrary nonnegative object. For the $L_2$ norm of the difference, with the same conditions on the object functions, there is no upper bound.

© 1997 Optical Society of America

Bounds on null functions of linear digital imaging systems

Eric Clarkson and Harrison Barrett
J. Opt. Soc. Am. A 15(5) 1355-1360 (1998)

Bloch function approach for parametric gap solitons

Claudio Conti, Stefano Trillo, and Gaetano Assanto
Opt. Lett. 22(7) 445-447 (1997)

Self-imaging with finite energy

Rafael Piestun, Yoav Y. Schechner, and Joseph Shamir
Opt. Lett. 22(4) 200-202 (1997)

Auxiliary differential equation: efficient implementation in the finite-difference time-domain method

T. O. Körner and W. Fichtner
Opt. Lett. 22(21) 1586-1588 (1997)

Probabilistic regularization in inverse optical imaging

Enrico De Micheli and Giovanni Alberto Viano
J. Opt. Soc. Am. A 17(11) 1942-1951 (2000)