摘要
根据圆柱投影和伪圆柱投影的变形分布和互补性,提出了圆柱与伪圆柱组合投影概念.推导了中央经线方程,赤道方程和伪圆柱投影的非中央经线方程.通过系数K1,K2和K3分别调节纬线间隔、经线间隔和伪圆柱投影的非中央经线收敛度.用系数K4确保伪圆柱投影的经线与接合纬线正交.用一实例阐释了圆柱与伪圆柱组合投影的设计程序和方法.本例中,在南纬60°到北纬60°之间,面积比在1.5以下,最大角度变形在15°以下.这投影适于用作小比例尺世界地图的数学基础.
According to the distortion distribution and complementarity of cylindrical and pseudo-cylindrical projection, the authors put forward the concept of cylindrical and pseudo-cylindrical homeotheric projection, derived the cen- tral meridian equation, equator equation and non-central meridian equation of pseudo--cylindrical projection, adjust the interval of parallel and meridian and convergent degree of non-central neridian of psaudo-cylindrical projection respectively through coefficient K1, K2 and K3, ensure orthogonal of meridian in pseudo-cylindrical projection and joint parallel by coefficient K4. The design program and mode of cylindrical and pseudo-cylindrical homeotheric projection have been explained by an example. The proportion of area at 1.5 below and maximum angular distortion at 15° below between from south parallel 60° to north parallel 60° interval in this example, this cylindrical and pseudo-cylindrical homeetheric projection is suitable to be mathenatical base of small scale world map.
出处
《海南师范大学学报（自然科学版）》
CAS
2012年第1期32-35,共4页
Journal of Hainan Normal University（Natural Science）
基金
广西自然科学基金项目(0448037)
关键词
圆柱投影
伪圆柱投影
组合投影
中央经线方程
赤道方程
接合纬线
变形
cylindrical projection
pseudo-cylindrical projection
homeotheric projection
central meridian equation
equator equation
joint pareallel
distortion
