Automatic matching of ore body contour line based on equal-angle and variable proportion projection
-
摘要: 详细讨论了基于矿体轮廓线的三维建模方法中涉及的匹配对应、分支和构面建模等主要问题。针对轮廓线匹配问题提出了一种以矿体整体走向为投影方向，以相邻剖面中轮廓线总面积之比为缩放比例的等角度变比例投影算法，将不共面的轮廓线投影到同一平面中以完成共面轮廓线的匹配拓扑分析，从而解决轮廓线的对应问题。为了解决轮廓线的分支问题，设计了一种距离反比加权平均和样条函数相结合的自适应插值算法。最后通过采用实际矿山数据建模，对本文所提出的方法进行了有效性验证。Abstract: The main problems such as matching correspondence, branching and surface reconstruction in ore body three-dimensional modeling method based on contour lines are discussed in detail in this paper.To solve the problem of contour matching, an equal-angle variable proportion projection algorithm is proposed, which takes ore body trend as projection direction and takes ratio of contour total area of adjacent sections as scaling proportion.Contour lines of different sections are projected into a same plane to complete topological analysis of coplanar contour lines, so as to solve the matching correspondence problem of contour lines.In order to solve the branching problem of contour lines, an adaptive interpolation algorithm combining inverse distance weighted average and spline function is designed and implemented in this paper.Finally, the method proposed in this paper is validated effectively by using actual mine data modeling.
-
图 6 自适应插值算法(平面示意图)
a.同一拓扑空间中的轮廓线; b.空间点插值与拟合
Figure 6. Adaptive interpolation algorithm(two-dimensional graph)
图 9 与已建好的钨矿矿体模型比较结果
Figure 9. Comparison result with the existing tungsten ore body model
表 1 人工匹配与自动匹配的对比
Table 1. Comparison ofmanual matching and automatic matching
人工
匹配自动
匹配正确匹配
数量正确
匹配率单轮廓线矿体块段数 376(117) 250 250 66.49% 多轮廓线矿体块段数 26 26 24 92.30% 矿体块段数 402 276 274 68.16% 
下载: 导出CSV
-
[1] 吴冲龙, 翁正平, 刘刚, 等.论中国"玻璃国土"建设[J].地质科技情报, 2012, 31(6):1-8. http://www.cnki.com.cn/Article/CJFDTotal-DZKQ201206002.htm [2] 田宜平, 毛小平, 张志庭, 等."玻璃油田"建设与油气勘探开发信息化[J].地质科技情报, 2012, 31(6):16-22. http://www.cnki.com.cn/Article/CJFDTotal-DZKQ201206004.htm [3] 陈国旭, 田宜平, 张夏林, 等.基于勘探剖面的三维地质模型快速构建及不确定性分析[J].地质科技情报, 2019, 38(2):275-280. http://d.old.wanfangdata.com.cn/Periodical/dzkjqb201902033 [4] 屈红刚, 潘懋, 王勇, 等.基于含拓扑剖面的三维地质建模[J].北京大学学报::自然科学版, 2006, 42(6):717-722. http://d.old.wanfangdata.com.cn/Periodical/bjdxxb200606004 [5] Qiyu Chen, Mariethoz G, Gang Liu, et al.Locality-based 3-D multiple-point statistics reconstruction using 2-D geological cross sections[J].Hydrology and Earth System Science, 2018, 22:6547-6566. doi: 10.5194/hess-22-6547-2018 [6] 吴冲龙.计算机技术与地矿工作信息化[J].地学前缘, 1998, 1(4):343-355. http://www.cnki.com.cn/Article/CJFDTotal-DXQY802.030.htm [7] 吴冲龙, 刘刚, 田宜平, 等.地矿勘查工作信息化的理论与方法问题[J].地球科学:中国地质大学学报, 2005, 30(3):359-364. http://www.cnki.com.cn/Article/CJFDTotal-DQKX200503013.htm [8] 吴立新, 殷作如, 钟亚平.再论数字矿山:特征、框架与关键技术[J].煤炭学报, 2003, 28(1):1-6. doi: 10.3321/j.issn:0253-9993.2003.01.001 [9] 吴立新, 数字矿山技术[M].长沙:中南大学出版社, 2009. [10] Meng Y.Research on the algorithm of automatic branch modeling in 3D model reconstruction from parallel contours[J].Proceedings of SPIE-The International Society for Optical Engineering, 2013, 59(2):272-285. doi: 10.1117/12.2030927.full [11] Liao S.Image segmentation and contour correspondence and branching problem in human mandible reconstruction[J].Journal of Computer Aided Design & Computer Graphics, 2004, 16(9):1225-1230. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jsjfzsjytxxxb200409008 [12] Bresler Y, Fessler J A, Macovski A.A Bayesian approach to reconstruction from incomplete projections of a multiple object 3D domain[J].IEEE Transactions on Pattern Analysis & Machine Intelligence, 1989, 11(8):840-858. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=b80d8c447d0f91782aa010a2245eb076 [13] Kaick O V, Hamarneh G, Zhang H, et al.Contour correspondence via ant colony optimization[C]//Maui: Pacific Conference on Computer Graphics and Applications, 2007: 271-280. https://www.researchgate.net/publication/4295595_Contour_Correspondence_via_Ant_Colony_Optimization [14] Meyers D.Reconstruction of surfaces from planar contours[D].Seattle: University of Washington, 2000. [15] Sederberg T W, Greenwood E.A physically based approach to 2-D shape blending[C]//New York: Conference on Computer Graphics and Interactive Techniques, 1992: 25-34. doi: 10.1145/133994.134001 [16] 田宜平, 袁艳斌, 李绍虎, 等.建立盆地三维构造-地层格架的插值方法[J].地球科学:中国地质大学学报, 2000, 25(2):191-194. http://d.old.wanfangdata.com.cn/Periodical/dqkx200002015 [17] Yao Y, Huang S, Jian K, et al.Total least squares algorithm for fitting spatial straight lines[J].Geomatics & Information Science of Wuhan University, 2014, 39(5):571-574. http://d.old.wanfangdata.com.cn/Periodical/whchkjdxxb201405013 [18] Deng X, Lu T, Chang X, et al.A structured total least squares algorithm for spatial straight line fitting[C]//International Conference on Intelligent Earth Observing and Applications.2015: 98081L. https://www.researchgate.net/publication/301476638_A_structured_total_least_squares_algorithm_for_spatial_straight_line_fitting [19] Wu Jian, Zheng Kangping, Wang Xiaochun.A method of detecting whether the point is in polygon or polyhedron[C].Dalian: Youth Design and Manufacturing Science Conference, 2002: 2200-2203. -
下载:
点击查看大图
图(9) / 表(1)
计量
- 文章访问数: 752
- PDF下载量: 6601
- 被引次数: 0
