1. Institute of Disaster Remote Sensing and Digital Mine,Northeastern University,Shenyang　 110819,China;2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines,Northeastern University,Shenyang　 110819,China;3. School of Environment Science and Spatial Informatics,China Universi-ty of Mining & Technology,Xuzhou　 221116,China

矿体三维建模与可视化是矿山信息化与数字矿山的核心内容。目前国内外矿业软件普遍采用基于序列剖面或中段平面矿体边界多边形连接的显式矿体建模方法,建模过程需要大量人工交互且数据更新后模型重建困难。引入径向基隐函数,提出一种基于隐式曲面的矿体自动建模方法。该方法无需手工圈定矿体边界,直接基于钻孔化验数据进行空间插值,自动构建矿体三维模型曲面,并能针对夹石体自动单独建模;作为建模参数,边界品位重新设定后可自动更新重建矿体三维模型。针对某矿山数据进行了不同边界品位的矿体自动建模实验,与显式方法建模结果对比表明,基于径向基函数隐式曲面的矿体建模方法自动化程度高、模型光滑且无拓扑错误,可为国内数字矿山与地学三维软件的研发提供新方案。

Three-Dimensional (3D) modeling and visualization of ore body are the core contents of mine informa tiza- tion and digital mine. Nowadays,the main method adopted by most international and domestic software is explicit mod- eling method based on the wireframe connection of sequential sections,or middle plane boundary polygons of ore body. Many human interactions are required during the modeling process and the models’ reconstruction is very difficult when new data come. In order to promote the automation level,a radial basis function was introduced in this paper,and a novel ore body modeling and reconstruction method based on implicit surfaces was proposed. The 3D boundary sur- faces of ore bodies were constructed by interpolating the grade data sampled by drill holes directly,without delineating the sections of ore bodies manually. Meanwhile,the inside rock models were constructed separately and automatically. Also,the cut-off grade could be treated as a modeling parameter for automatically reconstructing the ore body models. Based on the exploration data of a certain mine,implicit ore body modeling experiments on different cut-off grades were carried out. The comparison between implicit and explicit modeling results demonstrated that implicit ore body modeling method based on radial basis function has a high automatic level. Meanwhile the ore body models were very smooth without any topological errors. The method proposed in this paper can provide an new solution for the develop- ment of digital mine and 3D geoscience software.

辽宁省科学技术基金资助项目(2015020581)；中央高校基本科研业务费资助项目(N140104002)；国家重点基础研究发展计划(973)资助项目(2013CB227902)；

Guo Jiateng,Wu Lixin,Zhou Wenhui. Automatic ore body implicit 3D modeling based on radial basis function surface[J]. Journal of China Coal Society,2016,41(8):2130-2135.