基于轮廓线层间形态插值的三维地质隐式曲面重构  

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

作　　者：王权 邹艳红[1,2] Wang Quan;Zou Yanhong(Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring,Ministry of Education,Central South University,Changsha 410083,China;School of Geosciences and Info-Physics,Central South University,Changsha 410083,China)

机构地区：[1]中南大学有色金属成矿预测与地质环境监测教育部重点实验室,长沙410083 [2]中南大学地球科学与信息物理学院,长沙410083

出　　处：《地质科技通报》2023年第5期293-300,共8页Bulletin of Geological Science and Technology

基　　金：国家重点研发计划课题(2019YFC1805905);国家自然科学基金项目(41872249);湖南省科技创新计划项目(2021RC4055)。

摘　　要：地质勘查剖面图上地质体轮廓线分布稀疏,难以满足复杂地质表面的三维形态重构建模。为此,提出了一种基于最大相似度匹配轮廓线层间形态插值的三维地质隐式曲面重建方法。该方法首先采用模糊匹配算法,生成相邻剖面地质体轮廓线顶点映射集;然后通过计算匹配点相似度获取相似系数,基于最大相似度匹配原则建立最佳轮廓线顶点映射;最后基于轮廓线对应顶点计算层间梯度插值作为形态约束,采用径向基隐式曲面重建方法实现地质体三维曲面重建。通过实例的地质体轮廓线三维隐式建模结果,验证了该方法不仅可以实现形状大小各异的层间轮廓线形态插值,同时能够有效克服隐式曲面重建中由于数据稀疏而引起的曲面过度光滑或不连续的现象,可以为基于隐函数的复杂地质表面重建提供基础。[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.

关 键 词：轮廓线层间插值 相似度匹配 三维地质建模 径向基隐式曲面函数 形态约束 

分 类 号：P628[天文地球—地质矿产勘探]