in computer graphics, rectangular coordinate is a common coordinate system, but for matrix calculation to be convenient we introduce homogeneous coordinate. there are reasons below: for a example...
在计算机图形学中,为了方便矩阵计算,引入齐次坐标。二维对象的坐标由{x, y}变为{x, y, w},通过转换公式x = x/w, y = y/w,实现平移等变换。齐次坐标使得所有变换均可通过矩阵乘法完成,降低计算成本,并解决平行线相交的问题。