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采空區體積三角網模型剖面的微積分算法

Calculus algorithm of triangular mesh model profiles for cavity volume

  • 摘要: 為了準確獲取采空區空間體積,以采空區三維激光掃描系統探測到的原始數據為依據,提出采空區體積的三角網模型微積分算法.算法首先確定模型剖切的主軸方向,用一組等間距平行面對模型進行相切并獲得剖面的無序點集,運用所提出的凸包壓入法生成采空區剖面的初始邊緣輪廓線;再將初始邊緣輪廓線內的其他交點添加到剖面中,形成完整的采空區剖面形態;最后利用平面三角形有向面積疊加計算剖面面積,將剖面面積與微小間距進行積分獲取采空區的體積.工程應用表明,所研究的采空區體積算法穩定性好,精度高,可實現對復雜采空區體積的有效計算.

     

    Abstract: 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.

     

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