Superresolution algorithms have demonstrated impressive image-restoration results in the space domain. We consider the limits on superresolution performance in terms of usable bandwidth of the restored frequency spectrum. On the basis of a characterization of the spectral extrapolation errors (viz., null objects), we derive an expression for an approximate bound on accurate bandwidth extension for the general class of superresolution algorithms that incorporate a priori assumptions of a nonnegative, space-limited object. It is shown that accurate bandwidth extension is inversely related to the spatial extent of the object and the noise level in the image. For superresolution of sampled data, we present preliminary results relating bandwidth extrapolation to the difference between sampling rate and the discrete optical cutoff frequency. Simulation results are presented that substantiate the derived bandwidth extrapolation bounds.
© 1993 Optical Society of America
Original Manuscript: October 19, 1992
Revised Manuscript: June 14, 1993
Manuscript Accepted: June 14, 1993
Published: November 1, 1993
P. J. Sementilli, B. R. Hunt, and M. S. Nadar, "Analysis of the limit to superresolution in incoherent imaging," J. Opt. Soc. Am. A 10, 2265-2276 (1993)