基于计算机代数系统的常用航线在不同投影下的可视化  

Visualization of Common Routes Based on Different Projections by Computer Algebra System

作　　者：李松林 边少锋[1] 李厚朴[1] 刘佳奇[1] Songlin Li;Shaofeng Bian;Houpu Li;Jiaqi Liu(Department of Navigation, Naval University, Wuhan Hubei)

机构地区：[1]海军工程大学导航工程系,湖北武汉

出　　处：《测绘科学技术》2018年第3期196-202,共7页Geomatics Science and Technology

基　　金：国家自然科学基金资助项目(41631072,41771487,41571441)。

摘　　要：等角航线、大圆航线与大椭圆航线作为航海与航空领域常用的航线,在不同地图投影下的表现不同,而通过航线方程难以直观地分析其三者在不同类型投影下的不同表现。计算机代数系统不仅具有强大的符号运算功能,而且具有很强的图像可视化功能,在地图投影展绘、投影变形的计算与分析、不同投影间的变换等方面的应用具有传统数学方法无法比拟的优势。因此借助常用的计算机代数系统Mathematica软件,分别基于地球球体模型与椭球体模型,在不同类型的地图投影下,展绘出等角航线、大圆航线和大椭圆航线,为航行人员提供精确直观的航线地图,为航空航海领域的航线规划相关研究和教学工作提供有力支撑。The rhumb line, great circle route and large ellipse route are commonly used in the field of navigation and aviation, but it is difficult to analyze the different manifestations of them under the different types of projection through the route equation. The computer algebra system not only has powerful symbolic operation function, but also has a strong image visualization function. It has the advantages in the application of drawing of map projection, calculation and analysis of projection deformation, and the transformation of projection. In this paper, by using the computer algebra system software Mathematica, the contour route, great circle route and large ellipse route are drawn under the different types of map projection based on the earth sphere model and ellipsoid model, respectively, which provide the strong support for research and teaching work on route planning in the field of aviation and navigation.

关 键 词：等角航线 大圆航线 大椭圆航线 计算机代数系统 

分 类 号：O1[理学—数学]