| > | with(linalg): |
The matrix extracted out of the picture:
| > | M:=array(1..4,1..4,[ [0.009086 , 0.0 , 0.0 , -0.613320],
[0.0 , 0.009086, 0.0 , -0.613320], [0.0 , 0.0 , -0.009086 , 0.045431], [0.0 , 0.0 , 0.0 , 1.0]]); |
Here the With and Height of the Picture:
| > | w,h := (3000,1000); |
The point coordinates of the location you search in the picture:
| > | px,py,pz := (5.0, 125.0, 15.0); |
The matrix multiplication:
| > | Q := multiply(M,array(1..4,[px, py, pz, 1])); |
](images/Blade_OrthographicCamera_ViewTop_3000_1000_4.gif){kind=small}
| > | k := min(w,h); |
| > | S:= multiply( array(1..3,1..3,[[k,0 ,w ],
[0,-k,h ], [0, 0,1.0]]), array(1..3,[Q[1]/Q[4], Q[2]/Q[4], 1]) ); |
](images/Blade_OrthographicCamera_ViewTop_3000_1000_6.gif){kind=small}
| > | x := S[1] * 0.5; |
| > | y := S[2] * 0.5; |
| > | px,py,pz := (18.0, 118.5, 9.0); |
The matrix multiplication:
| > | Q := multiply(M,array(1..4,[px, py, pz, 1])); |
](images/Blade_OrthographicCamera_ViewTop_3000_1000_10.gif){kind=small}
| > | k := min(w,h); |
| > | S:= multiply( array(1..3,1..3,[[k,0 ,w ],
[0,-k,h ], [0, 0,1.0]]), array(1..3,[Q[1]/Q[4], Q[2]/Q[4], 1]) ); |
](images/Blade_OrthographicCamera_ViewTop_3000_1000_12.gif){kind=small}
| > | x := S[1] * 0.5; |
| > | y := S[2] * 0.5; |
| > |