Abstract
In this paper, we present a multi-domain implicit surface reconstruction algorithm for geological modeling based on the labeling of voxel points. The improved algorithm sets a label for each voxel point to represent the type of its geological domain and then obtains all the voxel points in the void areas. After that, the improved algorithm modifies the labels of the voxel points in the void areas and finally reconstructs the geological models through the Multiple Material Marching Cubes (M3C) algorithm. The improved algorithm solves the problems of some unexpected overlaps and voids in geological modeling by setting and modifying the labels of the voxel points. Our key contribution is proposing a labeling processing method to repair the overlap and void defects generated in the geological modeling and realizing the improved M3C algorithm. The experimental results of some geological models show the performance of the improved method. Compared with the original method, the improved method can repair the overlap and void defects in geological modeling to ensure the raw structural adjacency relationships of the geological bodies.
Highlights
Using implicit functions to reconstruct smooth surfaces from given scattered data has been used in many disciplines, such as geology, mathematics, computer graphics, mining engineering, and biomedicine
We propose a multi-domain reconstruction algorithm based on the labeling of the voxel points
When the models are reconstructed by the M3C algorithm, the voxel points with the same label are reconstructed into the same geological body
Summary
Using implicit functions to reconstruct smooth surfaces from given scattered data has been used in many disciplines, such as geology, mathematics, computer graphics, mining engineering, and biomedicine. If there are no overlaps or voids in the formation models represented by the multi-labeled implicit functions, the M3C algorithm can be used directly, and the reconstructed formation models can maintain the raw structural adjacency relationships. If a part of the common geological interface of two formations is defined by two different implicit functions, it may lead to inconsistent interpolation results This leads to the fact that in practical applications, the surfaces of multiple geological models cannot maintain the raw structural adjacency relationships; that is, overlaps and voids between the models may occur. This paper is based on the M3C algorithm and improves it so that the reconstructed multi-domain models of the geological bodies conform to the raw structural adjacency relationships. It provides a new idea for the reconstruction of the implicit surface of the multi-domain models
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
