One-Point Projections

Center of Projection on the negative z-axis with viewplane parallel to the x-y plane and through the origin.

xprojected = xd/(d+z) = x/(1+(z/d)) yprojected = yd/(d+z) = y/(1+(z/d))

            (1   0   0   0)   (x) = (x)
            (0   1   0   0)   (y) = (y)
            (0   0   0   0)   (z) = (0)
            (0   0  1/d  1)   (1) = (z/d + 1)