任意坐标反算对应桩号的完备算法研究

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快速、精确地计算任意坐标的对应桩号,在公路测量、设计、施工和竣工验收中有重要的实际意义。通过对组成平面线形的直线、圆曲线和回旋线3种线元的几何性质及其与任意点的相对位置关系的研究,尤其是回旋线的研究,提出了计算任意点在每段线元上垂足的算法;通过遍历平面线形的每段线元,得到任意点在路线上的所有垂足;最后把垂线段长度最小的垂足的桩号作为其对应桩号。该算法已经在路线软件中实现,并在实际工程中得到了应用;证明该算法搜索速度快、计算结果精确,可以适应于任意线形的公路。 Calculating the corresponding stakes at any coordinates quickly and accurately has important practical significance in highway survey, design, construction and final acceptance. By studying the geometric properties of three kinds of line elements, including the straight line, the circular curve and the revolving line, and their relative positions with arbitrary points, especially the study of the cyclotron, a method is proposed to calculate the arbitrary points on each line element By walking through each line element of the planar linear form, all the footmarks at any point on the route are obtained. Finally, the foot of the foot drop with the smallest vertical segment length is taken as its corresponding stake. The algorithm has been implemented in the route software and has been applied in practical engineering. The algorithm is proved to be fast in search speed and accurate in calculation, which can be applied to any linear highway.
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