期刊文献+

Hausdorff距离在地铁隧道断面变化检测中的应用

Detection of the tunnel section deformation by Hausdorff distance
下载PDF
导出
摘要 本文采用B样条曲线拟合地铁隧道断面,并选用自由曲线之间的Hausdorff距离作为度量,定义隧道断面的形状变化。介绍了隧道断面的B样条曲线拟合算法,自由曲线之间Hausdorff距离的计算方法。最后以某地铁区间隧道断面受损及修复后的扫描数据为例,采用B样条曲线拟合,并计算其断面Hausdorff距离分析变化,为隧道维护和使用提供了依据。 In order to obtain the deformation of tunnel section, the scanning data of tunnel section is fitted by a B-spline curve. And the Hausdorff distance between two free section curves is selected to define the deformation. The algorithms of fitting the section curve and achieving the Hausdorff distance between two free curves are introduced in this paper. Finally, this method is used to analysis the deformation of a damaged tunnel section. It is proved to be useful to guide the tunnel maintenance.
出处 《工程勘察》 2014年第1期62-65,82,共5页 Geotechnical Investigation & Surveying
基金 现代城市测绘国家测绘地理信息局重点实验室开放课题资助项目(20111201W)
关键词 B样条曲线拟合 HAUSDORFF距离 隧道断面 B-spline curve fitting Hausdorff distance tunnel section
  • 相关文献

参考文献11

  • 1P.Bogacki,S.Weinstein,Y.Xu. Distances between oriented curves in geometric modeling[J].Advances in Computational Mathematics,1997,(4):593-621.
  • 2H.Alt,C.Knauer,C.Wenk. Comparison of distance measures for planar curves[J].{H}ALGORITHMICA,2003,(1):45-58.
  • 3施法中.计算机辅助几何设计与非均匀有理B样条[M]{H}北京:高等教育出版社,2001.
  • 4H.Park,JH Lee. B-spline curve fitting based on adaptive curve refinement using dominant points[J].{H}Computer-Aided Design,2007,(6):439-451.doi:10.1016/j.cad.2006.12.006.
  • 5W.Wang,H.Portmann,Y.Liu. Fitting B-spline curves to point clouds by curvature-based squared distance minimization[J].{H}ACM TRANSACTIONS ON GRAPHICS,2006,(2):214-238.doi:10.1145/1138450.1138453.
  • 6M I A Lourakis. A brief description of the Levenberg-Marquardt algorithm implemented by levmar[R].Technical Report.Institute of Computer Science,Foundation for Research and Technology~Hellas,2005.
  • 7H.Alt,P.Bra,Godau M. Computing the Hausdorff distance of geometric patterns and shapes[J].{H}DISCRETE & COMPUTATIONAL GEOMETRY,2003.65-76.
  • 8H.Alt,B.Beherends,J.Blomer. Approximate matching of polygonal shapes[J].{H}ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE,1995.251-266.
  • 9L.Scharf. Computing the Hausdorff distance between sets of curves[D].Institutfur Informatik,Freie Universitat Berlin,2004.
  • 10H.Alt,L.Scharf. Computing the Hausdorff distance between curved objects[J].{H}International Journal of Computational Geometry & Applications,2008,(4):307-320.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部