Ultraresolution of microwave, color, and synthetic color images
Evgeni Nikolaevich Terentiev, Nikolai E. Terentiev, F. V. Shugaev · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2004
The modern digital image forming systems are multi sensors or multi rays as a rule. The Modulation Transfer Function (MTF) MO of a Point Spread Function (PSF) O can be measured with the aid of special transparent image. PSF O of passive radio vision system can be measured for a point source. If Y is the ortho-normal system of Fourier harmonics in a small domain, then PSF O and MTF MO are connected by the eigen-values problem relative convolution and multiplication operations: O*Y=MO Y. We may introduce MTF MR of resolving function R: R*Y=MR Y and MTF MRO of (R*O): R*O*Y= MRO Y. We have [1] equality: MRO = MR MO in the frequency small domain. Ultra-resolution method gives point results of resolution and it is the most effective and stable method in order to increase resolution at present time. Examples of PSFs O, MTFs: MO, MR and MRO, and numerous applications of the ultra-resolution method are considered.