中文摘要：

透视方位投影是地图投影重要的研究方面之一。反外心透视方位投影作为透视方位投影族中的重要成员，在过去的研究中没有受到足够的重视，该投影的特性及其应用价值没有得到充分的体现。根据方位投影的原理和一般公式推导了适用于反外心透视方位投影的坐标与变形计算公式，分析了该投影的变形特征以及采用该投影编制的小比例尺地图具有的俯视地球的特性；最后根据该投影的特性对其在地图集和特效地图数学基础设计中的应用进行了探讨。

英文摘要：

Perspective azimuthal projection is one of the important research aspects of map projection. Reverse external perspective azimuthal projection which was an important member of perspective azimuthal projection family had not got enough appreciation in former research. The application value of this projection also had not fully exhibited. Based on the perspective azimuthal projection principle and its common formula, the formula which was fit for reverse external perspective azimuthal projection was got. The projection＇s distortion characteristics and the characteristics of overlook the earth for small scale map made by this projection were analyzed. Finally, the Droiection＇s application in atlas and specific mad mathematical base design was discussed.