基于标量坐标的复杂地质表面模型隐式生成方法
Implicit generation of complex geological surface models based on scalar coordinates
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摘要: 地质模型的构建和呈现是三维地质建模领域的研究热点和难点之一。针对规模庞大、表面复杂、地质约束信息不足的地质体数据,本文采用基于域分解的隐式生成方法,实现大规模地质表面模型的快速构建。以径向基函数为核函数来构建隐式方程;利用重叠域分解策略,并行求解每个域内的分布函数,降低时空成本,加快求解速度;提取法向量生成控制点,构建表面波动约束,实现对模型边界的良好控制。实验结果表明,本文提出的方法能够在保证模型较高质量的前提下显著提升分布函数的求解效率。本研究有效解决地质建模中效率与精度的平衡难题,为地质表面精细化重构提供了方法理论支持。Abstract: The construction and presentation of a geological modelprove to be ahot topic and challenge in research on 3D geological modelling. Given the large scale, involvement of complex surfaces, and insufficient geological constraints of geological body data, this study achieved the rapid construction of a large-scale geological surface model using the domain decomposition-based implicit generation method. Initially, implicit functionswere constructed by taking radial basis functions as the kernel functions.Then, the distribution functions of various domainswere solved in parallel usinganoverlapping domain decompositionmethod, reducing the spatiotemporalcost and accelerating the solving process.Subsequently, normal vectors were extracted to generate control pointsand formconstraints on surface fluctuation, thereby effectively controlling the model boundaries. The experimental results indicate that the method proposed in this study can significantly improve the efficiency associated with the solving of distribution functionswhile ensuring the high quality of the model. This study effectively solves the problem of balance between efficiency and precision in geological modeling and provides methodological support for the refinement of geological surfaces.
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