Three-dimensional (3D) buffer analysis is among the basic functions of 3D spatial analysis, and it plays an important role in 3D geographic information systems. The rapid development of the 3D Discrete Global Grid System (DGGS) provides a new method for the 3D spatial analysis of geographic information. According to the spatial topology characteristics of the 3D DGGS and the concept of dimensionality reduction, a 3D buffer analysis method based on the spatial grid of the Earth system is proposed to solve the problem of the buffer algorithm of a space object being unsatisfactory at present. In this paper, we present a method to calculate the distance between cells based on the side length of the spherical grids according to the geometric characteristics of the grids. For the grids of a geographic object, we describe the Euclidean distance expansion algorithm and the radial elevation expansion algorithm that helped us to obtain its 3D buffer. Finally, in terms of algorithm complexity and visualization effect, compared with the traditional raster buffer algorithm, the method presented in this paper has lower complexity, an improved visualization effect, and stronger generality.

中文翻译：

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一种基于3D离散全局网格系统的三维缓冲区分析方法

三维 (3D) 缓冲区分析是 3D 空间分析的基本功能之一，在 3D 地理信息系统中发挥着重要作用。3D离散全球网格系统（DGGS）的快速发展为地理信息的3D空间分析提供了一种新的方法。根据3D DGGS的空间拓扑特征和降维的概念，提出一种基于地球系统空间网格的3D缓冲分析方法，以解决目前空间物体缓冲算法不理想的问题。在本文中，我们根据网格的几何特征，提出了一种基于球形网格边长计算单元间距离的方法。对于地理对象的网格，我们描述了帮助我们获得其 3D 缓冲区的欧几里德距离扩展算法和径向高程扩展算法。最后，在算法复杂度和可视化效果方面，与传统的光栅缓冲区算法相比，本文提出的方法复杂度更低，可视化效果更好，通用性更强。