Structural surfaces such as bedding planes and faults are the most important information for studying a geological body. In engineering investigation, this information mainly comes from a limited number of discrete data by field artificial investigation and borehole exploration. For effective utilization of the limited exploration data and more accurate reconstruction of complex geological body, a three-dimensional (3D) fitting function method that can satisfy positional and directional constraints is presented in this paper. A unified fitting function is established for fitting a group of faulted bedding planes with the consideration of local discontinuities due to faults. Finally, the effectiveness of this method is demonstrated through a 3D virtual geological modeling on the background of a hydroelectric project of western China in planning.
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