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Unformatted text preview: cture 1: Slide 21! Orthographic Projection
Orthographic projection!
• This is the simplest form of projection, and effective in
This is many cases. ! of projection, and e↵ective in many cases.
the simplest form
Make simplifying assumptions:
• Make simplifying assumptions: !
I
I The–viewpoint is atis at z = 1∞
The viewpoint z = − The of projection is z = =
The–planeplane of projection is z 0 0 so all• projectors have the have direction: direction: !
So all projectors same the same
0
1
0
!
d=@ 0 A
1
Graphics Lecture 1: Slide 22! Orthographic projection 0
Orthographic Projection onto z = onto z = 0!
Orthographic Projection onto z = 0 Graphics Lecture 1: Slide 23! Each projection line !
Each projection line
Each equation !
hashasprojection line
equation
has equation
P = V + µd
P = V + µd
where !
where
where 0
1
001
d = @ 00 A
d = @ 10 A
1 Calculating an Orthographic Projection alculating an Orthographic Projection
Calculating an Orthographic T
Projection
Calculating an orthographic projection ! Substitute d = (0, 0, 1) into the projector vector equation
T Substitute d = (0, 0, 1) into the projector...
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 Spring '14

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