Perspective vs weak perspective projection
针孔成像:可以简称为针孔模型,其成像特点是物体成像会近大远小,平行线会相交(考虑一条延伸到地平线的马路的照片)。这个模型对应的投影过程称之为透视投影。针孔成像模型又有多个称呼例如针孔透视投影模型、中心透视投影模型,均表示相同含义。
弱透视投影:针对于针孔成像模型做了进一步简化,物体投影时各个点与小孔的距离都用物体的平均距离代替,即不存在近大远小了,因为都是相同距离了。这样成像的大小就是成像平面与针孔距离d,以及物体与针孔距离D之间的比例决定了。这个模型对应的投影过程就称之为弱透视投影。
The action of the weak perspective camera is
equivalent to orthographic projection onto a plane (at Z = d0), followed by perspective projection from the plane. The difference between the perspective and weak perspective image point depends both on the distance ∆ of the point X from the plane, and the distance of the point from the principal ray.