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Perspective Projection
Perspective Projection
Characteristics
Center of Projection (CP) is a finite distance from object
Projectors are rays (i.e., non-parallel)
Vanishing points
Objects appear smaller as distance from CP (eye of
observer) increases
Difficult to determine exact size and shape of object
Most realistic, difficult to execute
Perspective Sketch
Horizon – observer’s eye level
Ground Line – plane on which object rests
Vanishing point – position on horizon where
depth projectors converge
Projection plane – plane upon which object is
projected
Classes of Perspective Projection
One-Point Perspective
Two-Point Perspective
Three-Point Perspective
View from Above
Vanishing Points
Object edges parallel to projection plane remain
parallel in a perspective projection
Object edges not parallel to projection plane
converge to a single point in a perspective
projection  vanishing point (vp)
Vanishing point of a principal axis  principal
vanishing point (pvp)
One-Point Perspective
One principal axis
cuts projection plane
 one principal
vanishing point
 Projection plane
parallel to one
principal plane
object
image
Two-Point Perspective
Two principal
axes cut
projection plane
 two principal
vanishing points
 Projection plane
parallel to one
principal axis
object
image
Three-Point Perspective
Three principal
axes cut
projection plane
 three principal
vanishing points
Lateral Movement of CP
Varying Distance from CP
Projection Plane Location
• Size of projected image depends upon location of
projection plane with respect to object
Vanishing Points Revisited
A vanishing point is
found by passing a
line through the center
of projection, parallel
to a set of parallel
object edges. The
point where the line
pierces the projection
plane is the vanishing
point.
object
image
Perspective Projection
The End

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Eg3

Editor's Notes

  1. Not used so much for engineering documentation Important in Computer Graphics