基于椭球极投影的三维船舶航线高精度绘制 High Accuracy Rendering of 3D Ship Route Using Ellipsoidal Projection

为解决电子海图中三维船舶航线高精度绘制问题，给出了一种基于椭球极投影的绘制方法。首先，通过建立椭球极投影，将椭球面上的点与平面上的点作一一对应。其次，将港口和船舶位置信息投影到平面上，利用Hermite插值技术，构造一条平面插值曲线。然后将该平面曲线通过椭球极逆投影，得到一条地球面曲线。最后，基于船舶航向等信息，提出了三维航线长度优化及多组航线交点求解的算法，实现了三维航线自动生成及相关计算。数值实验表明本文方法较已有方法更具真实感，精度更高。 In order to solve the problem of 3D high accuracy rendering of ship route in electronic navigational chart, a method based on the ellipsoidal projection is presented. Firstly, the ellipsoidal projection is established, and the point on the ellipsoid is one-to-one corresponding to the point on the plane. Secondly, the port and ship position information is projected onto the plane, and a plane interpolation curve is constructed by using Hermite interpolation technique. Then using the inverse ellipsoidal projection, a curve on the earth surface is obtained. Based on the information of the ship heading, the algorithm of 3D route length optimization and multi-route intersection is presented. The automatic generation of 3D route and related calculation are realized. Finally, numerical experiments show that the method is more realistic and more accurate than the existing methods.