Subnet convex hull merging algorithm for reconstructing digital terrain models

ZHENG Jitao; HE Honghong; ZHANG Tao; ZHU Jihong

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Journal of Tsinghua University(Science and Technology) ›› 2015, Vol. 55 ›› Issue (8) : 895-899,905.

COMPUTER SCIENCE AND TECHNOLOGY

Subnet convex hull merging algorithm for reconstructing digital terrain models

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Abstract

There are many digital terrain reconstructing methods based on divide and conquer. This study analyzes all possible cases of the merging of two subnet convex hulls. A subnet merging algorithm is then developed to overcome the limitations and drawbacks of traditional algorithms. The public support line and support points are found from the projection position of the vertices of the convex hulls. Then, the convex hull vertices between the support points are linked to generate new triangles so that no two triangles are intersect. Tests show that the algorithm is stable and reliable and that any two subnet convex hulls can be successfully merged.

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subnet / convex hull / merge / digital terrain model / Reconstruction

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ZHENG Jitao, HE Honghong, ZHANG Tao, ZHU Jihong. Subnet convex hull merging algorithm for reconstructing digital terrain models[J]. Journal of Tsinghua University(Science and Technology). 2015, 55(8): 895-899,905

References

[1] 袁正午, 侯林, 彭军还. 点集收集分配的 Delaunay 三角网快速生成算法及实现 [J]. 测绘科学, 2011, 36(5): 223-225.YUAN Zhengwu, HOU Lin, PENG Junhuan. A fast algorithm of Delaunay triangulation generation based on collecting and distributing points [J]. Science of Surveying and Mapping, 2011, 36(5): 223-225. (in Chinese)
[2] 王龙浩, 王解先. 基于逐点插入法的 Delaunay 三角网快速生成算法 [J]. 工程勘察, 2013, 10: 75-79.WANG Longhao, WANG Jiexian. Fast Delaunay triangulation generation algorithm based on incremental insertion method [J]. Geotechnical Investigation and Surveying, 2013, 10: 75-79. (in Chinese)
[3] 詹曦, 张建生. 点云边界提取及三角网格生成的集成算法研究 [J]. 计算机仿真, 2013, 30(11): 272-275.ZHAN Xi, ZHANG Jiansheng. Research on algorithm of integrating boundary extraction and triangle mesh generation of point cloud [J]. Computer Simulation, 2013, 30(11): 272-275. (in Chinese)
[4] 刘永和, 王燕平, 齐永安. 一种快速生成平面Delaunay三角网的横向扩张法 [J]. 地球信息科学, 2008, 10(1): 20-25.LIU Yonghe, WANG Yanping, QI Yongan. Horizontal expanding method: A quick algorithm for generating Delaunay triangulation from points in the plane [J]. Geo-Information Science, 2008, 10(1): 20-25. (in Chinese)
[5] 武晓波, 王世新, 肖春生. 一种生成Delaunay三角网的合成算法 [J]. 遥感学报, 2000, 4(1): 32-35.WU Xiaobo, WANG Shixin, XIAO Chunsheng. A hybridized method for building Delaunay triangulation [J]. Journal of Remote Sensing, 2000, 4(1): 32-35.(in Chinese)
[6] 吴宇晓, 张登荣. 生成Delaunay三角网的快速合成算法 [J]. 浙江大学学报: 理学版, 2004, 31(3): 343-348.WU Yuxiao, ZHANG Dengrong. Improved algorithm for building Delaunay triangulation [J]. Journal of Zhejiang University: Science Edition, 2004, 31(3): 343-348. (in Chinese)
[7] 徐青, 常歌, 杨力. 基于自适应分块的TIN三角网建立算法 [J]. 中国图像图形学报, 2000, 5A(6): 461-465. (in Chinese)XU Qing, CHANG Ge, YANG Li. The algorithm of TIN generation based on self-adapt clump organization [J], Journal of Image and Graphics, 2000, 5A(6): 461-465. (in Chinese)
[8] 芮一康, 王结臣. Delaunay三角形构网的分治扫描线算法 [J]. 测绘学报, 2007, 36(3): 358-362.RUI Yikang, WANG Jiechen. A new study of compound algorithm based on sweepline and divide-and-conquer algorithms for constructing Delaunay triangulation [J]. Acta Geodaetica et Cartographica Sinica, 2007, 36(3): 358-362. (in Chinese)
[9] Shamos M I, Hoey D. Closest-point problems [C]// Proceedings of the 16th IEEE Symposium on Foundations of Computer Science. Washinghon, USA: IEEE, 1975: 151-162.
[10] Lewis B A, Robinson J S. Triangulation of planar regions with application [J]. The Computer Journal, 1978, 21(4): 324-332.
[11] Lee D T, Schachter B J. Two algorithms for constructing a Delaunay triangulation [J]. International Journal of Computer and Information Sciences, 1980, 9(3): 219-242.
[12] 谢传节, 万洪涛. 基于四叉树结构的数字地表模型快速生成算法设计 [J]. 中国图像图形学报, 2002, 7A(4): 394-399.XIE Chuanjie, WAN Hongtao. Algorithm for rapidly generating digital terrain model based on quad-tree [J]. Journal of Image and Graphics, 2002, 7A(4): 394-399. (in Chinese)
[13]胡金星, 潘懋, 马照亭, 等. 高效构建Delaunay三角网数字地形模型算法研究 [J].北京大学学报, 2003, 39(5): 736-741. HU Jinxing, PAN Mao, MA Zhaoting, et al. Study on faster algorithm for constructing Delaunay triangulations DTM [J]. Scicentiarum Naturalum Universitis Pekinesis, 2003, 39(5): 736-741. (in Chinese)
[14]罗胜, 王鑫, 孙玉平. 机载LiDAR点云的Delaunay三角网快速生成算法 [J]. 海洋测绘, 2014, 34(2): 18-21.LUO Sheng, WANG Xin, SUN Yuping. An algorithm for quick generation of Delaunay triangular net for airborne LiDAR point cloud [J]. Hydrographic Surveying and Charting, 2014, 34(2): 18-21. (in Chinese)
[15]刘合辉, 罗勇军. 基于等高线的三角网快速构建与处理 [J]. 测绘工程, 2009, 18(2): 55-58.LIU Hehui, LUO Yongjun. Speedy constructing and processing TIN based on contours [J]. Engineering of Surveying and Mapping, 2009, 18(2): 55-58. (in Chinese)
[16]刘永和, 王燕平, 齐永安. 一种简单快速的Delaunay三角网逐块生成算法 [J]. 测绘科学, 2008, 33(6): 133-135.LIU Yonghe, WANG Yanping, QI Yongan. A simple and quick block-by-block generating method for generating delaunay triangulation from points in the plane [J]. Science of Surveying and Mapping, 2008, 33(6): 133-135. (in Chinese)