Programs of Recursive Analytical Calculations in Problems of Random Point Images Analysis

Autor: A. L. Reznik, A. V. Torgov, A.A. Soloviev
Rok vydání: 2020
Předmět:
Zdroj: Izvestiya of Altai State University. :112-116
ISSN: 1561-9451
1561-9443
Popis: The paper discusses an approach to solving complex probabilistic combinatorial problems. The approach is based on the use of specialized software systems for analytical transformations for computing systems. One of the problems associated with the partition of the interval (which arises in the study of the reliability of reading discrete-point fields and digital images) is considered in the paper, and new previously unknown analytical formulas have been successfully obtained. The efficiency of the developed software systems is ensured by two factors: firstly, the development of high-speed specialized recursive-combinatorial algorithms; secondly, the software implementation on high-performance computing clusters using modern programming and development tools (such as C ++ and MPI). Examples of particular solutions to the described problem that are obtained with the help of constructed computer systems are presented. An effective approach to solving complex probabilistic combinatorial problems is demonstrated. For the proposed approach, a computer is not just a powerful "calculator", but is an effective assistant with a wide range of algorithms and programs for complex and branched analytical transformations.
Databáze: OpenAIRE