Samer I. Solving the problem of construction discrete images by using coloured pattern

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U000541

Applicant for

Specialization

  • 01.05.01 - Теоретичні основи інформатики та кібернетики

26-01-2007

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

In the dissertation, we investigate number of questions which arises in the pattern cognition theory being applied to models. We describe a way to construct arbitrary discrete pattern in a plain (a viewing field) by using a set of given patterns. It is shown that of we sum up the number of colours for each cell of the pattern then we obtain huge number of equations presented in a form of comparison with respect to a finite module. The notion of homomorphism is introduced. For some samples possessing this property, a solution to this system can be found which is independent of the dimension of system.

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