采空区体积三角网模型剖面的微积分算法

Calculus algorithm of triangular mesh model profiles for cavity volume

为了准确获取采空区空间体积,以采空区三维激光扫描系统探测到的原始数据为依据,提出采空区体积的三角网模型微积分算法.算法首先确定模型剖切的主轴方向,用一组等间距平行面对模型进行相切并获得剖面的无序点集,运用所提出的凸包压入法生成采空区剖面的初始边缘轮廓线;再将初始边缘轮廓线内的其他交点添加到剖面中,形成完整的采空区剖面形态;最后利用平面三角形有向面积叠加计算剖面面积,将剖面面积与微小间距进行积分获取采空区的体积.工程应用表明,所研究的采空区体积算法稳定性好,精度高,可实现对复杂采空区体积的有效计算.

To obtain the cavity volume accurately, a calculus algorithm of cavity volume was researched according to data surveyed with a three-dimensional laser scanning system. In the algorithm, the main sectioning axis is fixed first, the model is cut by a group of equally interval parallel planes, and the intersection points are got, so the initial edge contour line is generated by using a convex hull impressed method. Then other intersections within the initial edge contour line are added to the cross-section to form a complete cross-section shape. Finally the volume of the model is got by superposition of the triangular directed area. Experimental results show that the algorithm program is stable and has a higher accuracy, and can be used as an effective algorithm of cavity volume.