关键词: Marching Cubes算法, 隐式模拟, 三维空间形态, 等值面提取

Abstract:

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.

Key words: Marching Cubes Algorithm, Implicit Simulation, Three-dimensional Spatial Shape, Isosurface Extraction