CONSTRUCTION OF A GENERALIZED VORONOI DIAGRAM WITH OPTIMAL PLACEMENT OF GENERATOR POINTS BASED ON THE THEORY OF OPTIMAL SET PARTITIONING.

Autor: KISELEVA, E. M., HART, L. L., PRYTOMANOVA, O. M., ZHURAVEL, S. V.
Předmět:
Zdroj: Matematychni Studii; 2020, Vol. 53 Issue 1, p109-112, 4p
Abstrakt: The problem of construction of a generalized Voronoi diagram with optimal placement of a finite number of generator points in a bounded set of n-dimensional Euclidean space is considered. A method is proposed for solving such a problem based on the formulation of the corresponding continuous problem of optimal partitioning of a set in n-dimensional Euclidean space with a partition quality criterion that provides the corresponding form of the Voronoi diagram. Further, to solve such a problem, the developed mathematical and algorithmic apparatus is used, the part of which is Shor's r-algorithm. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index