三维矿体表面建模中的三角剖分技术及其应用

金属矿山 ›› 2011, Vol. 40 ›› Issue (02): 106-110+114.

三维矿体表面建模中的三角剖分技术及其应用

冀晓伟¹，卢才武¹，李海波²

1.西安建筑科技大学；2. 河南洛阳矿业集团

出版日期:2011-02-10 发布日期:2011-02-15
基金资助:
陕西省重点学科建设专项资金项目，陕西省工业攻关计划项目（编号：2009K08-25），陕西省教育厅专项资金项目（编号：09JK529）

Triangulation Technique and its Application in 3D Ore Body Surface Modeling

Ji Xiaowei¹，Lu Caiwu¹，Li Haibo²

1. Xi'an University of Architecture and Technology；2. Henan Mineral Industry Group. Inc.，Luoyang

Online:2011-02-10 Published:2011-02-15

摘要/Abstract

摘要： 介绍了如何根据勘探线剖面矿体边界线，用三角剖分方法逼近矿体表面，建立矿体三维可视化模型的技术。三维矿体表面建模技术主要包括勘探线剖面矿体边界线的圈定、相邻边界线之间三角剖分和单个边界线内部三角剖分等内容。针对矿体结构复杂的特点，提出应用“凸包投影法”和“凸点逐步消除法”，分别解决相邻凹多边形矿体边界线之间与单个凹多边形矿体边界线内部的三角剖分问题，从而建立起复杂矿体的三维可视化模型。应用研究表明：运用本文方法，根据矿区勘探数据，能够建立起符合实际的三维矿体表面模型。

关键词: 三维矿体表面建模, 三角剖分, 凸包投影法, 凸点逐步消除法

Abstract: This paper introduces a technique about how to triangulate the surface of ore body with the mineral profile contours of prospecting line，and build up the ore body's 3D visual model. The 3D ore body surface modeling technique mainly contains contouring the mineral profiles within prospecting line，triangulating the neighbouring contours，triangulating inside single contours. As ore bodies' structures are always complex，it is proposed to use the Convex Hull Projection Method and the Convex Vertex Gradually Removing Method to solve the triangulation problems between the neighboring concave contours，and inside the concave contour so as to build the 3D visual model for complex ore-body. The application proves the method raised in this paper could build up the 3D ore body surface model which can meet the reality according to the exploration data in mining area.

Key words: 3D ore body surface modeling, Triangulation, Convex hull projection method, Convex vertex gradually removing method

冀晓伟, 卢才武, 李海波. 三维矿体表面建模中的三角剖分技术及其应用[J]. 金属矿山, 2011, 40(02): 106-110+114.

JI Xiao-Wei, LU Cai-Wu, LI Hai-Bo. Triangulation Technique and its Application in 3D Ore Body Surface Modeling[J]. Metal Mine, 2011, 40(02): 106-110+114.

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