Transformation for parallel projection, Computer Graphics

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Transformation for parallel projection

Parallel projections is also termed as Orthographic projection, are projections into one of the coordinate planes as x = 0, y = 0 or z = 0. The ordinary transformation for parallel or orthographic projection into the xy-plane that is z=0 plane as:

Ppar,z =  x ' = x

y ' = y

z ' = 0

In matrix form it as:

171_Transformation for parallel projection.png

Hence, if P(x,y,z) be any object point in space, then projected point P'(x'y'z') can be acquired as:

2150_Transformation for parallel projection 2.png

P'h =Ph.Ppar,z

 

 

 


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