Friday, 15 May 2015

Q 59,paper 3,J12 The perspective projection matrix, on the view plane z = d where the centre of projection is the origin (0, 0, 0) shall be


(A)
0 0 0 d
0 0 d 0
0 d 0 0
d 0 0 1
(B)
d 0 0 0
0 d 0 0
0 0 d 0
0 0 1 0
(C)
0 0 0 d
0 0 d 0
0 d 0 0
1 0 0 0 (D)
d 0 0 0
0 d 0 0
0 0 d 0
0 0 0 1
Answer (B).
Explanation
transformation matrix is: Let near z=-1 and far z=1 then. Aspect ratio ar is assumed to be 1.
Then tan(α/2)=1/d
Putting these in equations we get option B as solution.

1 comment:

  1. sir ur solution helpd me lot..... bt i m still confused..at some points:
    1.z=1?? why? tan vali equation?? i dint get it. plz explain in vast.. thnx in advace

    ReplyDelete

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