不规则区域面积的矩形四等分割计算法

摘要

如何对图纸上的区域面积进行计算,尤其是曲边不规则区域的面积计算,是一项基础工作。本文在详细分析了现有区域面积计算法的基础上,提出了一种应用于图纸上不规则区域的面积计算方法。应用本文提出的不规则区域面积的矩形四等分割计算法逐次将目标区域所在的矩形四等分割,直到满足精度阀值要求为止,将区域内所有有效值相加,得出区域总面积。此方法灵活性强,分辨率高,且易于在计算机上编程实现。%How to calculate the size of the region on the map or paper,especially the curved region of the irregular area is a basis for the work.In this paper,Based on a detailed analysis of existing regional space law it give a drawing applied to the irregular method of calculating the size of the region.The method is based on grid data storage methods Quadtree principle,first of all to identify anomalies outside the region where the MBR（Minimum Bounding Rectangle）.Then,using the method of this paper,four successive division of calculation of irregular rectangular area to the target area where the four rectangular partition,and so on,until the accuracy to meet the threshold requirements,the region will all add up to RMS,come to the region total area.This method is flexible,variable resolution,and easy-to-computer programming.