Comparison of the Karney Polygon Method and the Shoelace Method for Calculating Area

MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer Pub Date : 2023-11-07 DOI:10.30812/matrik.v23i1.2929

Vikky Aprelia Windarni, Adi Setiawan, Atina Rahmatalia

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Abstract

In calculating the area of an area, latitude and longitude coordinates are based on data from Global Administrative Region Database and Google Earth can be used. The aim of this research is to calculate the area. This research uses the Karney and Shoelace method to determine its accuracy based on Median Absolute Percentage Error in calculating the area of an area. Median Absolute Percentage Error results use data based on Global Administration The Regional Database by applying the polygon method proposed by Karney is 18.73%, and the percentage is 18.19% by applying the Shoelace method. Based on Google Earth data, implementation the method proposed by Karney obtained a percentage of 19.14%, and the application of shoelaces method obtained a percentage of 19.72%. In this case, Karney polygons and the Shoelace method has good accuracy because the value is below 20%. The proposed Shoelace method is easier to perform understand compared to the Karney method for calculating land area because it uses the Universal Transverse Mercator coordinate system, which projects points on the Earth's surface onto a flat plane.

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卡尼多边形法与鞋带法计算面积的比较

在计算一个地区的面积时，经纬度坐标以全球行政区域数据库的数据为基础，并可使用谷歌地球。本研究的目的是计算面积。本研究使用 Karney 和 Shoelace 方法，根据绝对百分比误差中位数确定其计算面积的准确性。中位绝对百分比误差结果使用了基于全球行政区域数据库的数据，应用 Karney 提出的多边形方法计算的中位绝对百分比误差为 18.73%，应用 Shoelace 方法计算的中位绝对百分比误差为 18.19%。根据谷歌地球数据，采用卡尼提出的方法得出的百分比为 19.14%，采用鞋带法得出的百分比为 19.72%。在这种情况下，Karney 多边形和鞋带法具有良好的准确性，因为其值低于 20%。与计算土地面积的 Karney 方法相比，拟议的鞋带法更容易理解，因为它使用的是通用横墨卡托坐标系，该坐标系将地球表面的点投影到一个平面上。

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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MATRIK : Jurnal Manajemen, Teknik Informatika dan Rekayasa Komputer

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