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逢山开路的数学模型
引用本文:孙长银,杨峤,黄琼.逢山开路的数学模型[J].三峡大学学报(人文社会科学版),1998(1).
作者姓名:孙长银  杨峤  黄琼
作者单位:四川大学,四川大学
摘    要:在修建公路中,线路设计是首要的问题,对于具体的地形和必经之点.要做出最合理的工程成本最低的线路,是一个重要问题.本文用拉格朗日二元三点插值进行数据处理.以此为基础建立了两个模型:①用等高线方法,依着路线的总体方向,用解析法和目估法画出直观的路线(包括一般路段、桥梁、隧道).②用深度搜索法,在每一格点自动确定下一方向,然后利用函数的递归凋用,给出一条路线.

关 键 词:插值  控制点  深度搜索

Mathematical Model of Building Road Through Mountains
Sun Chagnyin ,Yang Qiao, Huang Qiong.Mathematical Model of Building Road Through Mountains[J].Journal of China Three Gorges University(Humanities & Social Sciences),1998(1).
Authors:Sun Chagnyin  Yang Qiao  Huang Qiong
Institution:Sun Chagnyin ;Yang Qiao; Huang Qiong(Depertment of Maths ) (Sichuan University)
Abstract:Route design is a major problen in building a road. For specific topography and theroad one must take. It is a signficant problem to design the most reasonable and least cost route.In the paper, Data is processed by Lagrange's two unknown quantities and three points interpolation and on this basis two mathematical models are established, Firstly, Draw a audio - visual route Seclong the general direction by method of analysis and range estimtion, in which contour is used. blondly, detemine automatically the next direction at each net point by method of depth searching andfor a route by the method of recursive function.
Keywords:Interpolation  Control point  Depth Searching
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