高速铁路CPⅢ高程控制网条件方程的建立Establishment of condition equations for vertical control network in high-speed railway
王正帅,胡晋山,王爱生,康建荣
摘要(Abstract):
针对高速铁路CPⅢ高程控制网条件方程列立时易出现的多样性、冗余性和效率低等问题,提出了一种建立条件方程的方法:基于图论将控制网视为连通图,采用广度优先搜索(BFS)获取生成树、余树和父节点矩阵,根据余树枝节点、联测水准点至根点的路径分别构建闭合环、附合路线,并建立对应的条件方程,通过有限次相加或相减运算,即可得到最简形条件方程。实例分析结果表明:该方法列立的条件方程具有唯一性、最简形,且耗时少,有着较高的实用价值。
关键词(KeyWords): CPⅢ;高程控制网;条件方程;广度优先搜索(BFS);图论
基金项目(Foundation): 国家自然科学基金项目(41671395,51574132)
作者(Author): 王正帅,胡晋山,王爱生,康建荣
DOI: 10.16251/j.cnki.1009-2307.2018.11.024
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