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- W3204535493 abstract "Рассмотрен вопрос построения диаграммы Вороного с ограничениями на плоскости, также известный как обобщенная обратная задача Вороного. Эта задача заключается в том, чтобы по заданному набору отрезков на плоскости построить такую диаграмму Вороного, ребра которой будут лежать на этих отрезках. Предложен алгоритм построения диаграммы Вороного с ограничениями с простым доказательством корректности. Описана процедура построения двумерной расчетной сетки на основе такой диаграммы. Purpose. The problem of construction the Voronoi diagram with constrains on a plane, also known as the generalized inverse Voronoi problem, is considered. The problem is to construct a Voronoi diagram on the plane, which edges lie on a given set of segments. Methodology. Constructing a Voronoi diagram with constraints is based on the formation of a set of circles and the placement of sites of the diagram at the intersections of these circles. The procedure for constructing a diagram is described by a formal language to prove its correctness. Findings. An algorithm for constructing a constrained Voronoi diagram with proof of correctness is proposed. A procedure for constructing a twodimensional computational grid based on such a diagram is described. Value. The proposed algorithm is rather brief and has a simple proof of correctness. The use of such a grid can improve the accuracy of the numerical solution of some problems in fluid mechanics." @default.
- W3204535493 created "2021-10-11" @default.
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- W3204535493 date "2019-09-11" @default.
- W3204535493 modified "2023-09-27" @default.
- W3204535493 title "Construction of the Voronoi diagram with constraints on а plane" @default.
- W3204535493 doi "https://doi.org/10.25743/ict.2019.24.4.003" @default.
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