论文标题
地球学简介:两点之间的最短距离
An introduction to geodesics: the shortest distance between two points
论文作者
论文摘要
我们对获得地球的方法进行了可访问的介绍和详细说明,这是连接两个位于功能表面的两个点的最短曲线。这是通过计算函数的变化(函数函数”的变化来找到的。大量应用非常重要,例如指示路径之后是飞机(大圆),光线如何穿越太空,有助于将2D图像映射到3D表面以及机器人运动计划。
We give an accessible introduction and elaboration on the methods used in obtaining a geodesic, which is the curve of shortest length connecting two points lying on the surface of a function. This is found through computing what's known as the variation of a functional, a "function of functions" of sorts. Geodesics are of great importance with wide applications, e.g. dictating the path followed by aircraft (great-circles), how light travels through space, assist in the process of mapping a 2D image to a 3D surface, and robot motion planning.