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以短程线作为膜片的边界进行裁剪可以大幅节省膜材,以短程线方式在气承式膜结构上布置交叉索网可以最大限度提高充气膜结构的承载能力.本文提出一种快速稳定的短程线生成算法.该算法与传统的短程线算法不同之处在于,不是通过反复计算空间上的最短路径来获得,而是把空间问题转换为平面问题,在平面上找到连接两点的最短路径(即直线),再根据映射关系转换到三维空间曲面上,从而找到空间上的短程线.通过实际工程验证,本文算法能快速稳定地生成短程线.
Dicing the boundary of the diaphragm with the geodesic can greatly save the membrane material, and arranging the cable network on the gas-bearing membrane structure by the geodesic method can maximize the bearing capacity of the aerated membrane structure.This paper presents a fast and stable short-range Line generation algorithm.The difference between this algorithm and the traditional geodesic algorithm is that it is not obtained by repeatedly calculating the shortest path in space but transforms the space problem into a plane problem and finds the shortest path connecting two points in the plane That is, a straight line), and then converted to a three-dimensional space surface according to the mapping relationship to find the spatial geodesic.Through the actual engineering verification, the algorithm can generate geodesic quickly and stably.