This document discusses projection theory and different types of projections. It defines a projection as mapping a 3D space onto a 2D subspace, with the 2D space called the projection plane. Projections are classified as either perspective or parallel projections, depending on whether they use a single center of projection or parallel lines of projection. Common elements of any projection system include the center of projection, projection plane, objects to be projected, and projectors (sightlines).
2. 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
3. Classification of Projections
O n e - p o in t
T w o - p o in t
T h r e e - p o in t
P e r s p e c t iv e
P r o je c t io n
C a v a lie r
C a b in e t
G e n e r a l
O b liq u e
I s o m e t r ic
D im e t r ic
T r im e t r ic
A x o n o m e t r ic M u lt iv ie w
O r t h o g r a p h ic
P a r a lle l
P r o je c t io n
P r o je c t io n T h e o r y
4. Common Elements of a Projection
System
Center of Projection
(Perspective)/Direction
of Projection (Parallel)
Projection Plane
Object(s) to be
projected
Projectors
5. 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