Shift-Variant Multidimensional Systems.
Final research rept. 1 Feb 83-31 Mar 85,
PITTSBURGH UNIV PA DEPT OF ELECTRICAL ENGINEERING
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To a great extent the techniques for analysis and restoration of images has been developed under the assumption that the system is linear shift-invariant LSI. These techniques are successful in some cases because a system which is diffraction-limited or a system whose object plane undergoes uniform linear motion perpendicular to the system reference axis does indeed satisfy these assumptions. However, LSI systems are singled out for study mainly because of the widespread understanding of the Fourier Transform theory along with well-known fast algorithms for its implementation. In comparison with LSI systems, very little work has been done on linear shift-variant LSV systems. Most of the research on two dimensional LSV systems has been done on restoration techniques by means of coordinate transformations. This technique, decomposes the LSV system into a distortion of the input plane followed by a shift-invariant operation and terminated by a distortion of the output plane. The primary objective of this research is to provide not only a mathematical structure for the state-space modeling of discrete LSV systems but to apply this model to the problems of efficient analysis and deconvolution of multidimensional systems. Additional keywords Mathematical models images restoration.
- Theoretical Mathematics