极区极球面投影海图的分幅设计算法

摘要

A subdivision algorithm of polar stereographic charts of Arctic Area is presented in this paper. Arctic nautical charts can be divided into two types in accordance with whether North Pole lies in the charting area; for-mulas of chart scale, geographical scope and latitude and longitude difference of these two types charts are deduced later; then an autuomatic subdivision algorithm of polar stereographic charts of Arctic area with same chart scale is presented: the charting area is first divided into layers by latitude scopes and then each layer is divided into several sheets by longitude scopes, latitude overlap and longitude overlap are given in the form of length on chart and scale factor of longitude differen respectively, the number of chart sheets and geographical scope of each chart sheet are determined by proper latitude and longitude overlap; the feasibility of the algorithm is confirmed by an exmaple in the end.%研究了北极极球面投影海图的分幅设计方法。根据北冰洋地理特点将图幅分为极点在图幅中央和极点不在图幅上两类，推导了这两类图幅的比例尺计算公式、经纬度范围关系和经纬差计算公式，提出了一种同比例尺成套系列极球面投影海图的自动分幅设计算法：制图区域先按纬度范围分层，然后对各层按经度范围分幅，纬度叠幅以图上长度给出、经度叠幅以图幅经差比例系数给出，通过叠幅确定图幅数量及各图幅地理范围，最后举例验证了该算法的可行性。