移动立方体算法的地质体三维空间形态模拟

针对地质勘察中地质体采样数据离散且不完备，基于这些数据难于构建地质体三维模型的问题，一种基于Marching Cubes算法的地质体三维空间形态隐式模拟方法被提出。此方法首先运用空间插值方法，推断和预测地质体的分布趋势，构建地质体三维空间规则数据场；在此基础上，采用Marching Cubes算法实现由网格离散点到三维等值面的模拟，提取出三维地质体的光滑等值曲面；最后结合OpenGL三维可视化技术，通过计算机图形学中的微小三角面逼近来实现地质体的三维空间形态的可视化。通过实例，将这种方法应用于基于钻孔勘探数据的矿体三维空间形态模拟，快速构建了矿体三维模型，模拟结果接近于传统的手工圈定边界和进行矿体推断而建立的三维模型，证实了该方法的可行性和高效性。

A Spatial Shape Simulation Method for Three-dimensional Geological Body Based on Marching Cubes Algorithm

According to the sparse sampling dataset about the geological body in geological investigation, it is difficult to construct the three-dimensional model of geological body. Therefore, we propose a method to implement the three-dimensional implicit simulation for the geological body by marching cubes algorithm. Firstly, the spatial interpolation method is used to predict the distribution of geological body, and then the three-dimensional spatial regular data field of geological body is established. Secondly, the three-dimensional isosurface of geological body is extracted from sparse points by the marching cubes algorithm. Finally, combining with three-dimensional visualization technology of OpenGL, three-dimensional spatial shape of geological body is simulated by tiny triangle approximation in computer graphics. Taken the borehole data in exploration engineering as example, this method has been applied to develop the three-dimensional implicit simulation for ore body. The result of implicit simulation is similar to the delineation of explicit simulation in three-dimensional geological modeling software by human-computer interaction. The method shows the feasible and efficient for the three-dimensional simulation of geological body.