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graphics n multimedia
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PERSPECTIVE PROJECTION
Dept. of CA, NITT 2
Perspective Projection• Transform points along projection lines that meet @ PRP
• If we set, • PRP @ ZPRP along Zv axis• Place View Plane @ Zvp
PRP – Projection Reference Point
1
U – 0/1
Dept. of CA, NITT 3
Perspective Projection• If u=0, • X’=X• Y’=Y• Z’=Z• PRP (X,Y,Z)
• If u=1, • X’=0• Y’=0• Z’=ZPRP
• PRP (0,0,ZPRP)
Dept. of CA, NITT 4
Perspective Projection• Solve Z’ equation for parameter u @ this position along Pro.
Line
Substitute Eq. 2 in X’, Y’
2
3
Distance of VP from PRP : d=ZPRP-Zvp
Dept. of CA, NITT 5
Perspective Projection• Using 3D Homogeneous Coordinate representation
Where h=(ZPRP – Z) / dp
2 4
Distance of VP from PRP : d=ZPRP-Zvp
5
Dept. of CA, NITT 6
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