仿射坐标系的平行投影

Parallel Projection of the Affine Coordinate System

空间仿射坐标系的平行投影问题在计算机图形识别、跟踪目标及三维实体重建中具有重要意义.通过分析广义投影公式指出了各种投影之间的内在联系,并由广义投影公式推导出以平面图形为空间仿射坐标系平行投影的充要条件,适用于仿射坐标系平行投影的各种情况.应用上述充要条件可以导出其它公式及定理,如高斯定理等.

Parallel projection of the affine coordinate system has a significant impact on computer graphics recognition, object's tracking or solid model reconstruction. Through analyzing general projection expression, the relationship between the projections is pointed out,and the sufficient and necessary conditions that figure  is a parallel projection of the space affine coordinate system are given. It can fit any situation of the parallel projection of the affine coordinate system. Furthermore, some equations and theorems such as Gauss's theorem are put forward.