Computer Graphics Question

  • #1
< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >

Problem Statement:

Derive the perspective transformation matrix in homogeneous coordinates for the case of the view plane parallel to the x-y plane and passing through z=0, when the Projection Reference Point is on the x-axis at zprp, where zprp<0.

Attempt to answer:
54mtKkx.png

LNoAuKd.png


Anyone can help me to check whether the solution I do is correct?
Thanks
 
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  • #2
.The transformation matrix can be written as: $\begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1/z_{prp} & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix}$where $z_{prp}$ is the distance of the Projection Reference Point from the origin.
 

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