The Fredholm equation of the first kind is commonly used in tasks of compensation for Point Spread Function (PSF) distortion. However, there exists some contradiction. Namely, the distortion in any definite point depends on a small amount of adjacent points. Meanwhile, the task of compensation is set forth for image as a whole, i.e. for a large amount of points. The ultra-resolution method does not make use of the Fredholm equation of the first kind. The PSF distortions are compensated point by point [1,2]. The method can be used at low signal-to-noise ratio. The characterization of ultraresolution method is connected with the investigation of the value of compensated distortions in dependence on the noise level and on the pass band frequency of the method. Application of resolving function for object-target as a special PSF gives us a principally new approach to the targeting problem. Characterization in this case helps us to choose the accuracy of indication in the point of the target.

Date Published: 12 May 2006
PDF: 7 pages
Proc. SPIE 6246, Visual Information Processing XV, 62460V (12 May 2006); doi: 10.1117/12.665719

Published in SPIE Proceedings Vol. 6246:
Visual Information Processing XV
Zia-ur Rahman; Stephen E. Reichenbach; Mark A. Neifeld, Editor(s)