By Juliusz Kulikowski
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Extra info for Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971
26b) I II lll IV The relations R , R , R and R respondingly the "North-West-South-East", the can be called cor11 North-Sonth 11 , the "North-East-South-West" and the ''West-East 11 directions of a line going through the centre (~ ,i) of a segment. Applied to the 'bt· . ~d- -matrix they give the result: indicating the fact that a line of a "North-South" direction is going through the left-half of the original retina-segment (the line is bended horizontally in the lower subsegment). Some other interesting and effective algorithms of noisy and fuzzy pictures processing at the first levels of structural treatening have been proposed by R.
Rn,? 1are performed. A question then arises of what is the "highest order" relation between the relations P and T. For example, they are overlap- ping in the former sense. Investigations of this kind of relations between the random variables may be interesting from the point of view of an analysis of an informational system structure. However, this is not a problem of pattern recognition. 3. Structural approach to the recognition patterns. An automatic classification of composite patterns consists of several levels of picture processing.
N • = 2,4,6,8, ... [z•(4,2)] 1al[z'(4,4)] The noisy version of the picture given in the ex ample gives us then the matrix: 0 5 2 6 4 6 5 1 3 2 2 t 3 1 1 t Let us shortly denote the components of the last matrix by 1At~j'~·1,2,3, ... ,~=1,2,3, .... Once more the 3 x 3 components subvectors will be considered and the following relations will be defined: l(.. 24a) 46 Chap. i-1 + \t~,j + W"~,~+i > 'llt~-1,i-i + 'llt~-t,j. 26b) I II lll IV The relations R , R , R and R respondingly the "North-West-South-East", the can be called cor11 North-Sonth 11 , the "North-East-South-West" and the ''West-East 11 directions of a line going through the centre (~ ,i) of a segment.
Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971 by Juliusz Kulikowski