
A Stereogram is an optical illusion of depth created from a 2D
image.
Stereograms were discovered by Charles Wheatstone in 1838. He created the first
stereoscope based on a combination of mirrors that allowed a person to see a 3D
image from 2 slightly different 2D pictures.
The most simple stereograms are autostereograms, created from models
that repeat horizontally. When the image is viewed correctly those images appear
to float above the background.
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This 3D illusion is created by repeating the rider every 140 pixels, the shark at
every 130 pixels and the tiger at every 120 pixels. The closer a set of images are,
the higher they are lifted from the background. The brain is capable of almost instantly
match hundreds of similar images repeated at different intervals to create the 3D
image.
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Another stereogram is the single image random dot stereogram (or
SIRDS). Each point is computed based of a depth map and projected against a series
of random dots.
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We can use a repeating pattern instead of the random dots. We will get a wallpaper
stereogram which, looked correctly, will show the hidden image. The
important thing is that the pattern should not have big horizontal colorless areas.
It has to be as much as colored as possible.
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The subtle changes in the distance between the stereogram points can create the
illusion of a continuous passing in depth. Each color in the depth map is translated
in a certain distance between the points on the resulting image.
This type of stereogram assumes a more dynamic image, with lots of color variations.
The easiest model is to use random dots. We can also use repetitive patterns if
those patterns don’t have big horizontal monotonic patches.
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This depth map is the most important part of a stereogram. We cannot
generate a neet stereogram unless we have a very good depth map. And, unfortunately,
those are the hardest to create. We can generate them using some 3D modeling programs
like 3D Studio.
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The mask must be an image in black and white, where black is the background and
the different shades of white represent points floating above the background. The
whiter the points, the closest the points are to you.
You can also create them by simply making a white shape on a black background. Off
cource, this will not have any depth variations at all.

We have 2 eyes at 15 cm between. This is why when we look into the real world each
eye sees the world from a slight different angle as the other.
In the beginning, the idea behind the making of stereograms was to show each eye
a different image. The brain gets the 2 images, interprets them and creates the
depth feeling.
There are two methods for viewing a stereogram: parallel viewing
and cross-eyed viewing method. Most of the stereograms are made
to be seen in a single way – parallel way. This view technique requires that
the eyes take a relative parallel angle and focus somewhere behind the image. Cross-eyed
viewing asumes that the viewer focuses his eyes in front of the picture - this is
where the name commes, the viewer has to cross his eyes.
The big question is "How can I see that?!"
The first thing you need to know is that not everybody can see the 3D illusion in
a stereogram. The persons with visual impairments affecting one or both eyes can't
see the 3D illusion.
While some of us can simply see the 3D image hidden in a stereogram, most of us
have to train our eyes to see the illusion.

Bring the stereogram image really close to your eyes (until you touch it with your
nose). At this distance your eyes cannot focus on the image and they look somewhere
behind the image. Now, slowly push the image away from you, while trying to keep
the eyes off focus. At some point you will see the hidden image.
Another method is to take an object and put it behind the image (about half of meter
behind it). Now, focus on the object behind the image while keeping the eyes looking
at the image.
Do you remember how is the feeling when you are drunk? Your eyes don't look at the
object arround you, but rather through them. Well, this is actualy what we are trying
to achive (look through the object, not get drunk, loll). If you can manage to get your
eyes off focus, at some point you will be able to see the hidden image.
If you're not train to look at stereograms, this might take you some time. First
time I've looked at a stereogram it took me like an hour to finally be able to focus
the eyes correctly to see the 3D image.