Download Algebraic Methods in Pattern Recognition: Course held at the by Juliusz Kulikowski PDF

By Juliusz Kulikowski

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Extra resources for Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971

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27). The pro~ lem of proving the formal identity of expressions plays an important role in the structural pattern recognition technique. It is clear that a given pattern can be formally described in sev- eral ways and it is necessary to prove the fact that a given e~ pression obtained from a recognitive experiment describes the same pattern as defined by a theoretically deducted expression. The problem of proving the formal identity of the expressions resembles this one of automatic proving the theorems and can be solved using the same tebnique.

Some other interesting and effective algorithms of noisy and fuzzy pictures processing at the first levels of structural treatening have been proposed by R. Narasimhan in [24, 25, 26, 27] • 4. Recognition of integral features. The picture description obtained after the first levels of signal processing has a fonn of a set of addressed local features. For example, an input signal having the fonn 0 0 0 0 0 0 0 t 0 0 0 1 0 0 0 t 0 0 i 0 1 1 t 1 0 0 0 t 0 0 0 0 0 0 0 0 0 .. 0 0 0 0011011100 may be coded 0 0 1 1 0 0 t 1 0 0 0011111110 into the fonn 0011101100 0 0 t 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 ~ ~~ where the R , R ~~~ and R ...

0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 . . 0 0 1 1 . 1 . 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 . . 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 . . . The procedure can be repeated several times, i f necessary . Applied once more it gives, correspondingly: . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 . . 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .

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