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Projection Theory
Perspective and Parallel Projections
Projection Theory
A projection is a mapping of a 3D space onto a 2D subspace 2D space is called the projection plane
Projection also refers to image resulting from such a mapping
Classification of Projections
P ro je c tio n T h e o ry
P e rs p e c tiv e P a ra lle l P ro je c tio n P ro je c tio n
O n e -p o in t O b liq u e O rth o g ra p h ic
T w o -p o in t
C a v a lie r A x o n o m e tric M u ltiv ie w
T h re e -p o in t
C a b in e t
Is o m e tric
G e n e ra l
D im e tric
T rim e tric
Common Elements of a Projection System
Center of Projection (Perspective)/Direction of Projection (Parallel)
Projection Plane
Object(s) to be projected
Projectors
Some Terminology
Bounding Box = Principal Enclosing Box (PEB)
Center of Projection = Station Point = Viewpoint of observer
Projection Plane = Viewplane = Picture Plane
Projectors = Sightlines = Line of Sight
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