基于六面体网格和三角剖分算法的煤层建模实时可视化

Xiaoming Du, Zhipeng Li, S. Peng
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摘要

三维煤层建模和可视化是数字采矿应用的两个关键部分。本文提出了一种基于双层规则网格数据(高程网格和厚度网格)的便捷建模方法,并开发了一种基于三维不规则六面体的少冗余三角剖分算法。这种基于网格的建模方法适合煤层的特点和一般的数据生成方法、井眼插值和地球物理勘探。该算法的核心是一个虚拟的不规则六面体,其底面由高程网格生成,顶面由高程网格加上相应的厚度网格生成。作者总结了5种不同类型的六面体来表示实际煤层中的不同情况,并作为检查条件,以确保算法的完整性。网格中数值无效的特殊区域表示煤层中陷落柱和外围区域。基于六面体中有效点的布局和煤层中网格数据块的位置,提出了一种基于六面体单元的迭代算法,每次实时绘制只需从数据库中动态获取一次三维网格数据。根据有效点的位置,以不同的方法将六面体单元的每个面细分为无缝三角形。该模型结合了三角形易于绘制和网格数据可及性高的优点;该算法能有效地解决数据库更新带来的模型重构问题,且冗余度较低。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Coal seam modeling based on hexahedron grid and triangulation algorithm for real-time visualization
3D coal seam modeling and visualization are two key parts of digital mining application. In this article, we proposed a convenient modeling method based on double-layer regular grid data (elevation grid and thickness grid), and developed a less redundant triangulation algorithm on the basis of a 3D irregular hexahedron. This grid-based molding fit the features of coal seam and general data producing approaches, boreholes interpolating and geophysical prospecting. The core of the algorithm is a virtual irregular hexahedron, whose bottom face is created by elevation grid and top face comes from an elevation grid plus corresponding thickness grid. The author summed up 5 different types of hexahedron for representing different situations in real coal seam and being as checking conditions to make sure integrity of the algorithm. Special areas in grid, where the values are invalid digital, express the collapse columns and outside areas in coal seam. Based on the layout of valid points in a hexahedron and the location of a grid data block in a coal seam, an iterating algorithm using hexahedral cell has been proposed, that dynamically fetch the 3D grid data from database only once in every real-time rendering. Each face of hexahedral cell is subdivided into seamless triangles in different approach according to the location of valid points. This paper concludes that the model combines the advantage of easy rendering by triangles and high accessibility of grid data; the algorithm can efficiently solve the problem of model reconstruction caused by database update with less redundancy.
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