Insides of ultra-resolution method

摘要

At Faculty of Physics, Moscow State University, the new image processing methods for different physical measuring systems are created. The main feature of the proposed super-, ultra-resolution methods consists in the diminishing of the dimensions of problems under consideration. In super- resolution method every actual (or virtual) ray has its own local vision domain. The local-linear super- resolution problem was solved on the special arranged set of actual (or virtual) rays. The introduced resolving function R was not used. Point Spread Function (PSF) O and resolved O: R*O were needed for the illustration of results of the local-linear super-resolution method. In ultra-resolution (point) method, the resolving function R is directly used on small size vision domains, and so is PSF O. The ultra-resolution method gives point results. In the super-resolution method each pixel was divided onto 2x2 and 4x4. The method of ultra-resolution gives us practically unlimited capability for "interpolation of pixels". "The pixel interpolation" certainly increases the dimensions of problem, but it enables us to perform a better presentation of the PSF O of the image measuring system. From the point of view of super- resolution method, the number of virtual rays in ultra-resolution method corresponds to the number of the small "interpolated pixels". The new ultra-resolution method is more effective and stable in comparing with the super-resolution method. Numerous applications are considered, too.