The present paper examines location equations describing direct and back scattering of electromagnetic waves on an object moving against the background of nonuniform medium transversally to the direction to the receiver. The radial Doppler signal component is missing in this case. The multiple scattering on nonuniformities of the medium of background and object resulting in the Doppler background signal component is considered in the coupling wave approximation with the aid of the projection operator technique. In addition to the traditional background and transverse Doppler components resulting from scattering on medium nonuniformities, the obtained equations comprise the background Doppler and the background shadow components due to wave scattering on medium nonuniformities. The results of this study are applicable to investigations of liquids by optical beating spectroscopy methods, and to investigations of the atmosphere by means of location in the optical, infra-red and radio bands. The results of the experimental study of nonuniform liquid media by optical beating spectroscopy at small-angle scattering are observed.
The optical pattern recognition is performed traditionally on the base of the Fourier transform of images and their following matched filtration. However this recognition is not invariant to the orientation and scale changes of images. This problem can be solved due to the Fresnel transform perhaps.According to the van Zittert-Zernike theorem the certain equivalent coherent field with wave length A. and complex envelope E (s) exp[iiu J s 2 1(r) exp(-i2rtsr/A.z) d2 r corresponds to the two-dimension intensity distribution 1(r) of any image in the distant Fraunhofer zone (Z >> I s r J ). The shape of this envelope is statistically described by its Fresnel phase portrait (PP) w[F,G] , where FffReh(s,r)I(r)d2 r, G=fjlmh(s,r)I(r)d2 r, and h(s,r) = exp(itIs-r2/21) is the Fresnel function. The Fresnel PP w[F,G] is fully invariant to position and orientation image 1(r) changes. Hence it is need to standardize the F and G values by the energy ff 1(r) d2 r of the image for the PP scale invariance.This is the subject of the present paper.
THE COMPLEX COHERENCE DEGREE, VAN ZITTERT-ZERNIKE THEOREM AND IMAGE FOURIER TRANSFORMAs it is known, the coherence degree 12 • for two points P1 ( ,,) and P2 12 ) of
The informational technique intended for extraction of environmental objects upon multiple-spectral images and formation of characterictics describing in a sumarized way the dynamics of their spatial structure is being discussed. It is assumed that the multiple-spectral images make up a single vector field. The procedure of the object extraction starts from segmentation of random vector fields. The observation vector of the same space point leads to a qualitatively better process of marking of picture points belonging to different objects than one scalar observalion. An optimal algorithm is proposed based on vector observations and intended for segmentation of multiplespectral images.For extraction and classification of objects, a model is discussed of generalized structural spatial noise-immune description of multiple-spectral images. Basic principles of a system for the storage and fast retrieval of experimental and processed data are proposed. The results of experimenting with the technology in the domain of investigating natural processes by their satellite multiple-spectral images are presented.
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