The designers of modem devices of vision prefer a scanning step of receiving system antenna with a smaller size aperture than the main lobe pattern of the Point Spread Function (PSF). This report is devoted to the development and application of a local-linear method of additional resolution enhancement for such a receiving system in radio vision and optics.Keywords : Additional enhancement of resolution, local-linear method, multi ray radio vision system, optic system 1. MODELS OF IMAGES For digital imaging system, a continuous-discrete linear model of image formation iswhere the argument (i , J) show that resulting image is presented on the grid {7 (i, J)} of D area ofPSF position. 10 (r ) undistorted image, I(i ,j) is image at the output of continuous-discrete linear model. In the equation (3) ds() defme an elementary square in the points F = (x,y).For a digital realization of PSF distortions compensation we will use discrete-discrete linear model as an analog (3) in the view I=A10+v,where I is the image registered in the area D, A is four-dimensional matrix corresponding all possible positions of antenna pattern on the grid {r = (i, j )} of the area D, J is undistorted image, noise V appeared as a result of discrete-discrete representation (4) of the continuous-discrete image formation model (3) The model of image formation in multiple ray imaging system is:'nm = Anm I:m + V (6) Downloaded From: http://proceedings.spiedigitallibrary.org/ on 06/26/2016 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspxwhere Dnm S a local observation area, Anm (5 i a local discrete PSF , Im 1S undistorted image fragment, 'nm an image fragment at the outcome of imaging system. V(5) is a noise.If {ti } is two-dimensional orthogonal normalized harmonic system on Dnm areas in the case of rectangular and quadratic areas, local MTF Bnm (ki) are estimated in Dnm areas on the base of Anm correctly with taking into account the principal problem ofmultiple ray systems modeling for solution ofthe task4 Bnm (ki) ti = Anml/.f .Task of distortion compensation of investigated objects was set on the measurement model (6).
CONSTRUCTION OF LOCAL OBSERVATION AREAThe special construction of local observation areas are intended for reduction of computing distortions from borders of the images.Compensation of distortions must be carried out in overlapping areas D m ' D m+1 (b). Their internal parts (a) (b) remain for assembly ofthe resulting image (a).
LOCAL-LINEAR SUPER RESOLUTION METHODTask of PSF distortions compensation, where PSF is defmed by matrix Anm 'was set by the discrete-discrete model (6). For example, the simplest reduction task is5 iflf{RnmAnrn -Et2 IRnml2 e} (8) The solution of (8) looks like Rnm((D)= (A:mAnm + co]?)' A:m ,where Am 5 transposed matrix Anm ' i the defme small value5.Calculations of images R (w ) I (9) were made along original fast schemes in bases {jjkl }. In these images on nm nm T nm Dnm areas, contrast nses and mean image bnghtness nm is kept with high precision. The value of realized resolution in image...