利用算子微分研究投影变形理论

Researching the theory of projection distortion by using the differential of operators

本文利用算子的微分矩阵研究投影变形理论，得到了新的等角、等面积和等距离投影的充要条件，并利用这些条件探求了等角圆锥投影以及等角和等面积圆柱投影的正反解变换。

In this paper, we have studied the theory of projection distortion by using the differential matrix of operators, the necessary and sufficient conditions of conformal, authalic or equidistant projection are obtained meanwhile, and the forward and inverse transformations of conformal or authalic cylindrical projection and normal conical conformal projection are searched after by using these conditions.