Stereogram

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Stereo Pair, Lake Palanskoye Landslide, Kamchatka Peninsula, Russia — The Lake Palanskoye in northern Kamchatka was formed when a large landslide disrupted the drainage pattern, forming a natural dam. Depending on its elevation, each point in the image was shifted slightly. When stereoscopically merged, the result is a vertically exaggerated view of the Earth's surface in its full three dimensions.

A stereogram is an optical illusion of depth created from flat, two-dimensional image or images. Originally, stereogram referred to a pair of stereo images which could be viewed using stereoscope. Other types of stereograms include anaglyphs and autostereograms.

Stereogram was discovered by Charles Wheatstone in 1838. He found an explanation of binocular vision which led him to construct a stereoscope based on a combination of prisms and mirrors to allow a person to see 3D images from two 2D pictures. ^[1]

Stereograms were re-popularized by the creation of autostereogram on computers, where a 3D image is hidden in a single 2D image, until the viewer focuses the eyes correctly. The Magic Eye series is a popular example of this. Magic Eye books refer to autostereograms as stereograms, leading most people to believe that the word stereogram is synonymous to autostereogram. ^[2]

Salvador Dalí created some impressive stereograms in his exploration in a variety of optical illusions. ^[3]

Types[]

Stereoscopic imaging relies on the use of Stereoscope to present a slightly different image to each eye. Sometimes the stereo pair can be viewed with the naked eye, if the images are narrow and placed side by side. The stereo pair is then viewed using the same viewing technique used to see autostereograms.
Anaglyph images, also recognized as "red/green" or "magenta/cyan" images, combine two stereo images from slightly different viewpoints into a single image. These images may then be viewed with "anaglyph glasses", which use color filters to moderate the light reaching each eye to create the illusion of a three dimensional image.
Random dot stereograms employ either two stereoscopic images or one anaglyph. The input image (or images) contain random dots with no discernible shapes. When the proper viewing device is used, a hidden 3D scene emerges from these random dots.
Autostereograms produce an illusion of depth using only a single image. The image is usually generated by computer by repeating a narrow pattern from left to right. By decoupling eye convergence from focusing operations, a viewer is able to trick the brain into seeing a 3D scene.
SIRDS (Single Image Random Dot Stereogram) is a form of autostereogram where each repeated pattern is altered slightly, creating a hidden image which is not discernible unless the right viewing technique is used.

Autostereograms[]

Stereogram Tut Random Dot Shark — A random dot autostereogram encodes a 3D scene which can be 'seen' with proper viewing technique. Click on thumbnail to see full-size image.

Main article: Autostereogram

An autostereogram is an optical illusion of depth usually observed by allowing the eyes to focus behind an image (diverge), but also sometimes in front of the image (converge). These two methods are also known as wall-eyed and cross-eyed, respectively. The slight differences in vertical repetitions of figures or random dots create the illusion of depth in the 2D image, just as the slight difference in perspective between one's eyes creates the perception of depth on 3D objects and scenes.

According to Magic Eye, a maker of autostereograms, "most people prefer the diverging method". However, with normal stereograms, this imposes a limit on the size of the image, since there is a limit to how much the eyes diverge; images created for the cross-eyed method can be larger. If a stereogram is viewed with the wrong method, the depth information is seen 'backwards'; points intended to be in the background appear in the foreground and vice versa.

Practical uses[]

While stereograms have typically been used for amusement, including "3D" movies using anaglyph motion pictures, posters and books of autostereograms, and historical replicas of early stereograms, there are also practical uses of the technologies.

Space exploration[]

SpiritsShadow-Sol153-6-8-2004 — This image, captured on June, 8th, 2004, is an example of a composite anaglyph generated from the stereo Pancam on Spirit, one of the Mars Exploration Rovers. It can be viewed stereoscopically with proper red/cyan filter glasses. A single 2D version is also available. *Courtesy NASA/JPL-Caltech.*

The Mars Exploration Rovers, launched by NASA in 2003 to explore the surface of Mars, are equipped with unique cameras that allow researchers to view stereoscopic images of the surface of Mars.

The two cameras that make up each rover's Pancam are situated 1.5m above the ground surface, and are separated by 30cm, with 1 degree of toe-in. This allows the image pairs to be made into scientifically useful stereoscopic images, which can be viewed as stereograms, anaglyphs, or processed into 3D computer images.^[4]

Home plate anim — Curious rock with a jutting portion at "Home Plate" via the Mars Spirit Rover. (Animated GIF image for stereoscopic perception).

The ability to create realistic 3D images from a pair of cameras at roughly human-height gives researchers increased insight as to the nature of the landscapes being viewed. In environments without hazy atmospheres or familiar landmarks, humans rely on stereoscopic clues to judge distance. Single camera viewpoints are therefore more difficult to interpret. Multiple camera stereoscopic systems like the Pancam address this problem with unmanned space exploration.

Clinical uses[]

Stereograms cards are frequently used by orthoptists and vision therapists in the treatment of many binocular vision and accommodative disorders.^[5]

Mathematical, scientific and engineering uses[]

As in the steropair image of the lake, stereopair photgraphs are sometimes used to help visualise aerial photgraphs. Cartographers may also generate steropairs using computer programs in order to visualise topography in three dimensions.^[6] The same technique can also be applied to any mathematical (or scientific, or engineering) parameter that is a function of two variables, although in these cases it is more common for a three-dimensional effect to be created using a 'distorted' mesh or shading (as if from a distant light source).

References[]

↑ Pinker, S. (1997). The Mind's Eye. In How the Mind Works (pp. 211–233). ISBN 0-393-31848-6
↑ Magic Eye Inc. (2004). Magic Eye: Beyond 3D. Kansas City: Andrews McMeel Publishing. ISBN 0-7407-4527-1
↑ Horibuchi, S. (1994). Salvador Dalí: the stereo pair artist. In Horibuchi, S. (Ed.), Stereogram (pp.9, pp.42). San Francisco: Cadence Books. ISBN 0-929279-85-9
↑ Pancam technical brief. (PDF) Cornell University. URL accessed on 2006-06-30.
↑ Bartiss, OD MD, Michael Convergence Insufficiency. WebMD. URL accessed on 2006-06-30.
↑ David F. Watson (1992). Contouring. A Guide to the Analysis and Display of Spatial Data (with programs on diskette). In: Danniel F. Merriam (Ed.); Computer Methods in the Geosciences; Pergamon / Elsevier Science, Amsterdam; 321 pp. ISBN 0-08-040286-0

Scott B. Steinman, Barbara A. Steinman and Ralph Philip Garzia. (2000). Foundations of Binocular Vision: A Clinical perspective. McGraw-Hill Medical. ISBN 0-8385-2670-5

External links[]

Explora Museum in Frankfurt/Main – Germany – Europe

(German)

3D Museum in Dinkelsbühl – Germany – Europe

(French)

stereogram images

Bigle 3D, a free autostereogram generator for Windows.
How to create wiggle stereogram
Examples of wiggle stereogram.

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[pinker-1] Pinker, S. (1997). The Mind's Eye. In How the Mind Works (pp. 211–233). ISBN 0-393-31848-6

[beyond3d-2] Magic Eye Inc. (2004). Magic Eye: Beyond 3D. Kansas City: Andrews McMeel Publishing. ISBN 0-7407-4527-1

[salvador-3] Horibuchi, S. (1994). Salvador Dalí: the stereo pair artist. In Horibuchi, S. (Ed.), Stereogram (pp.9, pp.42). San Francisco: Cadence Books. ISBN 0-929279-85-9

[4] Pancam technical brief. (PDF) Cornell University. URL accessed on 2006-06-30.

[5] Bartiss, OD MD, Michael Convergence Insufficiency. WebMD. URL accessed on 2006-06-30.

[Watson-6] David F. Watson (1992). Contouring. A Guide to the Analysis and Display of Spatial Data (with programs on diskette). In: Danniel F. Merriam (Ed.); Computer Methods in the Geosciences; Pergamon / Elsevier Science, Amsterdam; 321 pp. ISBN 0-08-040286-0

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