四角形点集间的射影变换的表达式

On expression of project transformation between sets of quadric-angle form

射影平面上,任意无三点共线之四点到任意无三点共线之四点的射影变换是存在且唯一的,是射影几何非常重要的基本定理.通过对射影几何基本定理进一步讨论,利用基元变换法及矩阵运算,推导出四角形点集间射影变换的明确的表达式.

The project transformation between arbitrarily four points and four points (non-three-point-collinear) is existent and unique.This is a very important basic theorem in the project geometry.But the clear expression of project transformation was not given in all project geometry documents.By means of elementary transformation method and the calculation of matrix,the define expression in project transformation among the point sets of quadric-angle form was deduced.