Graphics Programs Reference
In-Depth Information
pseudoperspective) is a technique to artificially add depth and introduce perspective (or
an effect similar to perspective) into a two-dimensional image, thereby making it appear
three-dimensional. Points in a two-dimensional image have just
x
and
y
coordinates,
which makes it natural to modify Equation (3.1) to
x
1+
f
(
x, y
)
,
y
1+
f
(
x, y
)
,
x
∗
=
∗
=
(4.1)
where
f
(
x, y
) is a function chosen by the user according to the desired effect.
For
example, the function
1
2
e
−ax
2
−by
2
,
where
a
and
b
are real constants, returns the value
f
(
x, y
)=
−
0
.
5for
x
=
y
= 0 (the origin)
and values that approach zero for very large
x
or
y
coordinates (positive or negative).
Points (
x, y
) near the origin are therefore projected to (2
x,
2
y
), while points on the edges
of the image are hardly affected by this projection. This has the effect of magnifying
the center of the image, thereby making it appear closer. Other functions may create
different effects. Figure 4.1 shows an example of a 5
−
×
5gridofpointsmovedinsucha
way.
Figure 4.1: Moving Points in False Perspective.
Psychedelics and VR are both ways of creating a new, nonlinear reality, where self-
expression is a community event.
If you realize that the world is nonlinear and random, then it means that you can be
completely annihilated by chaos for no particular reason at all. These things happen.
There's no cosmic justice. And that's a disquieting thing to have to face. It's damaging
to people's self-esteem.
—Douglas Rushkoff,
Cyberia: Life in the Trenches of Hyperspace
(1994)
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