等半径球覆盖旋转曲面的数值算法

Modern Technologies and Scientific and Technological Progress Pub Date : 2024-04-22 DOI:10.36629/2686-9896-2024-1-156-158

Dyk Min Nguyen

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摘要

本文重点讨论了如何为半径未知的等球旋转曲面构建最薄覆盖层的问题。本文提出了一种基于光学几何方法和大地 Voronoi 图联合应用的启发式算法。对包括球体在内的一些旋转表面进行了计算

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NUMERICAL ALGORITHM FOR COVERING SURFACES OF REVOLUTION BY BALLS WITH EQUAL RADII

The paper focuses on the problem of constructing the thinnest covering for surfaces of revolution by equal balls whose radii are unknown in advance. A heuristic algorithm based on the joint applying the optical-geometric approach and the geodesic Voronoi diagram is proposed. Calculations for some surfaces of revolution, including a sphere, are carried out

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Modern Technologies and Scientific and Technological Progress

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