Open AccessPROBLEMS OF BUILDING AND APPLICATION OF HYPERCOMPLEX NUMBERS
Author(s) -
A.T. Ibrayev,
A. Alkhan,
A. Toktar
Publication year - 2021
Publication title -
evrazijskij soûz učenyh/evrazijskij soûz učënyh
Language(s) - English
Resource type - Journals
eISSN - 2413-9335
pISSN - 2411-6467
DOI - 10.31618/esu.2413-9335.2021.4.83.1261
Subject(s) - hypercomplex number , computer science , transformation (genetics) , process (computing) , algebra over a field , emphasis (telecommunications) , arithmetic , algorithm , image processing , theoretical computer science , image (mathematics) , mathematics , artificial intelligence , programming language , quaternion , pure mathematics , geometry , telecommunications , biochemistry , chemistry , gene
The article is dedicated to the problems of using multidimensional numbers for mathematical and computer modeling of complex physical processes and the design of knowledge-intensive devices, including digital image processing. The emphasis is on the issues of building the methods for processing three-dimensional signals. It is proposed to use three-dimensional variables presented in the form of hypercomplex numbers to formulate the three-dimensional Fourier transformation forms, which allows to analyze and process three-dimensional signals.