Three-dimensional geological implicit surface reconstruction based on intermediate contour morphological interpolation

Abstract

Objective In three-dimensional morphological reconstruction of complex geological surfaces, the sparse geological section data cannot meet the modelling requirements. To overcome it, in this paper, we propose a 3D geological implicit surface reconstruction method based on intermediate contour morphological interpolation at the maximum similarity. Methods Firstly, a fuzzy vertex correspondence algorithm was used to generate multiple contour vertex mapping sets of two adjacent contours of the same geological body. Then, the contour similarity coefficient was obtained by calculating the similarity degree of matching points, and the best contour vertex matching map is established based on maximum similarity matching principle; Finally, through intermediate gradient interpolation, the result is used as a morphological constraint to participate in surface reconstruction with radial basis functions (RBFs). Results Taking the practical geological section as an example, we constructed the three-dimensional geological implicit model based on morphological interpolation. Conclusion Results show that the proposed method can not only realize reasonable intermediate morphology transition between two adjacent sparse contours, but also overcome the phenomenon of excessively smooth or discontinuous surfaces caused by sparse data during implicit surface reconstruction, providing a new basis for complex geological surface reconstruction based on implicit functions.

Keywords

• intermediate contour interpolation
• similarity matching
• three-dimensional geological modeling
• radial basis functions(rbfs)
• morphological constraints