Vector-Based Realization of Area-Weight Proportional Multiplicatively Weighted Voronoi Diagrams With the ArcGIS Engine

Pub Date : 2024-02-01 DOI:10.4018/jcit.337322
Song Tian, Zheng Wei
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Abstract

In the geographical field, the studies have been on service areas using the Voronoi diagram and its derived models is extensive, but there is a lack of effective methods to achieve a good area-weight proportionality between generators and their exclusive regions. As a famous visualizing method, adaptive multiplicatively weighted Voronoi diagrams are able to achieve it, but are limited to displaying non-spatial data. The approach of the area-weight proportional multiplicatively weighted Voronoi diagram is proposed to solve these problems by allowing for spatial division with a point-fixed iteration approach and a vector-based multiplicatively weighted Voronoi diagram construction method from point features with spatial coordinates and references in GIS environments. It enables one to create a set of regions that is proportional to the weights of the generators. The method is successfully tested on a series of cases. The approach aims to establish a kind of spatial data model to represent demand and supply situations in real life.
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利用 ArcGIS 引擎实现基于矢量的面积-重量比例乘法加权沃罗诺图
在地理领域,利用 Voronoi 图及其衍生模型对服务区进行的研究非常广泛,但缺乏有效的方法来实现发电机与其专属区域之间良好的面积-权重比例关系。作为一种著名的可视化方法,自适应乘法加权 Voronoi 图能够实现这一点,但仅限于显示非空间数据。为了解决这些问题,我们提出了面积权比例乘法加权 Voronoi 图的方法,该方法允许以点固定迭代的方式进行空间划分,并在 GIS 环境中从具有空间坐标和参考的点特征中采用基于矢量的乘法加权 Voronoi 图构建方法。它使人们能够创建一组与生成器权重成正比的区域。该方法在一系列案例中进行了成功测试。该方法旨在建立一种空间数据模型,以表示现实生活中的供需情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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