过大圆上任两点的极赤投影绘制圆弧的方法  

The Way to Draw a Circular Arc Through Stereoscopic Projectionof Any Two Points on a Great Circle

作　　者：李萍[1] 薛天跃[1] 

机构地区：[1]太原科技大学,太原030024

出　　处：《太原科技大学学报》2005年第2期147-149,共3页Journal of Taiyuan University of Science and Technology

摘　　要：解决了极赤投影中仅知球面大圆上两点的极赤投影而无法作出极赤投影圆弧的问题,从而可代替以模板近似作圆弧的方法,可大大提高空间角度的度量精度。本文还给出了圆弧的投影方程,为计算机绘制极赤图提供了计算方法。This paper puts forward a solution to the problem that people has long failed to draw a circular arc from stereoscopic projection of any two points on a spherical great circle,on the condition that stereoscopic projection is the only premise known.Hense,a substitute for the traditional method of making an approximate circular arc through a patter plate.is found,which can immensely improve the measuring precision in the measurement of space angles.Besides,the projecting formula of the circular arc is also listed in the paper,which can offer the computer a calculating method to draw stereoscopic projection.

关 键 词：极赤投影 圆弧 大圆 计算机绘制 空间角度 投影方程 计算方法 球面 近似 

分 类 号：O185.1[理学—数学] TG834[理学—基础数学]