By Juliusz Kulikowski
Read or Download Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971 PDF
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Additional resources for Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971
Lled a 11 ro- tation 11 • It is also possible to define other kinds of isomorphisms like scale-changing etc. 14) is not an isomorphism of relations in the above-mentioned sense. Let us consider a more detailed general situation. 55 A Homomorphism of the Relations There are given two families of sets ,
The problem is usually solved by intuition; some authors tried to solve the problem using more advanced methods [6, 13] . An optimizing procedure is evidently possible if a crite~ rion of optimization is defined. However, choosing the criterion is a serious problem itself, The pattern recognition problem can 35 Reduction of Image Deformation be considered as a problem of reduction of the information redundance. For example, if the retina consists of N elements char acterized by two possible states ( 11 black-white 11 ) and the set of final.
W. ,). 6) \l=i An euclidean distance measure is rather preferable in the case of multi-stage components vectors: ~(z* ,z) 2 1/2. 7) in the case of the binary-components vectors the Hamming 1 s arid the euclidean distances are equivalent. A. Aizerman, E. M. I. Rosoneer [1, 3]. 8) v =i are some real coefficients. Then, the distance measure is defined as 38 Chap. 9) eCz*,z) = [K(z*,z*)+K(z,z)-2K (z*,z)] t/2. 12) g(z*,z) = (z*,z) 11t(z*) + v(z) - (z*,z) and a distance measure (proposed by J. Rogers and T.
Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971 by Juliusz Kulikowski