Have you walked through a mall lately? These days, as you wander past most of the poster shops, there will be a large group of people staring at the same poster with surprisingly weird expressions on their faces. Some will be in the initial stages of denial or rejection---they will be concentrating, some slowly rocking their heads backwards and forwards, searching for an image that they have never seen before. Others will be grinning from ear to ear, pointing at the poster, chuckling with their friends that a member of their group hasn't seem them yet. "Come on Bill, come on!", they cry and as Bill gets increasingly more frustrated he concentrates harder and harder, until finally (if he's lucky) he sees a true 3D image, without the need for special glasses or equipment.
These pictures are known as Single Image Random Dot Stereograms (SIRDS), or Single Image Stereograms (SIS) depending on whether the picture contains random dots as a base for the 3D effect, or a repetitive pattern. Unfortunately, each commercial company has labelled them differently. Shop owners generally don't know what you mean, unless you say "Hollusion" or one of the many other specific names.
What is a stereogram ?
In this document I refer to stereogram (though, single image stereogram would be more correct) as being something like the image that follows:
/=-- Y+-z-/=-- Y+-z-/=-- Y+-z-/=-- Y+-z-/=-- Y+-z-/=-- Y+-z-/=-- Y+-z-/=-- Y+-z *wm @m@w *wm @m@w *wm @m@w *wm @m@w *wm @m@w *wm @m@w *wm @m@w *wm @m@ O@=*+z @:/O@=*+z @:/O@=*+z @:/O@=*+z @:/O@=*+z @:/O@=*+z @:/O@=*+z @:/O@=*+z @: :*/- :m: *:*/- :m: *:*/- :m: *:*/- :m: *:*/- :m: *:*/- :m: *:*/- :m: *:*/- :m: )*/O@-Y|- )*/O@-Y)*/O@-Y)*/O@-Y)*/O@zO@)*/O@z zO@)*/O@zO@)*/O O@zO@*/O O@zwO@*/ *):O*zO((@*):O*zO*):O*zO*):O*zO*):O*mO*z):O*mO(O*z):O*(O*z):+:O*(O*):+:O*()O*): m))@z@-+m~m))@z@-m))@z@-m))@z@-m))@z*@z@-m@z*@z@@@-m*@z@@@m@-m*@z@@m@-m*@z @@m@ z:+*O-mm*Yz:+*O-mz:+*O-=O-mz:+*O-=O-mz:+*O--mz:+***-mz:+*)***-mz:+****-mz:-+*** m@: @:~+( m@: @:~m@: @: @:~m@: @: @:~m@: @: @m@: @: @m@/@: @: @m@/@ @: @m@+/@ @ -+(*m- o-)-+(*m- -+(*m-Om- -+(*m-Om- -+(*m-Om-+(*m-Om-+-+(*m-Om-+-+*m-Om-+|-+*m m*m |== *m*m |=m*m |=m*m |=m*m |=m*m |=m*m*m |=m*m*m |=m*m+*m + YY/ + ) + YY/ ++ YY/ ++ YY/*Y/ ++ YY/*Y/ ++ Y*Y/ ++-+ Y*Y/ ++-+ YY/ ++-+* YY/ zY=) w ~/YzY=) w zY=) w zY=) z) w zY=) z) w zY=z) w zmzY=z) w zmzY=) w zmz|Y=) + oY*:+:ow+ oY*:++ oY*:m*:++ oY*:m*:++ oY*:m*:+oY*:m* *:+oY*:m* *:+Y*:m* *z:+Y* @ z++ *zo)@ z++ *@ z++ w+ *@ z++ w+ *@ z++ w+ *z++ w+ + *z++ w+ + *++ w+ +* *++ ()=ww+ *O()=ww+ ()=ww+-w+ ()=ww+-w+ ()=ww+-w+ =ww+-w+w+ =ww+-w+w+ ww+-w+w=+ ww z +wO z +z + +z + +z + + + = + + = + + = ( + o +@~@= ozo +@~@=o +@~@+~@=o +@~@+~@=o +@~@+~@=+@~@+~@~@=+@~@+~@~@=@~@+~@~z@=@~ )(w=++ +~z)(w=++ +~z)(w=++ +~z)(w=++ +~z)(w=++ +~z)(w=++ +~z)(w=++ +~z)(w=++ +~ mz- O @ =mz- O @ =mz- O @ =mz- O @ =mz- O @ =mz- O @ =mz- O @ =mz- O @If you stare at this image by trying to focus on something behind the image, you will be able to see, after some-time, a 3-D scene with the letters F Y I detaching from the background. (If you read this document on a monitor it is easier to focus on your image reflected on the screen in order to get the 3-D illusion. If you read this document on paper, try to put a glass in front of it and do the same thing.)
To understand the mechanism which allows you to get this peculiar effect, we should take a look at the process of vision.
The feeling of "depth" that you get by looking at a statue instead
of looking at a photo of the same statue, is due to the fact that
the human body has two eyes.
In the above example with the statue, we need just one eye to get the general shape of the statue. A humble photo does the same. It is the second eye that provides some "extra" information. This extra information is the "depth" of the various parts of the statue. In fact a "photo" gives just a bi-dimensional (x,y) representation, to get the third dimension (z) you need some "extra".
y | |--------- | z | Photo | | / | | | / ---------| |/_______ xBy having two pictures of the same object, taken by two different positions, which is the case of the human eyes, you can get the "z" coordinate to that object. It is a simple geometrical question.
In fig.1 we assume that there are 2 objects, X and Y which are at the same height (y) and different depths (z) and positions (x)
|------------------------------------------------------------| | Fig.1 | | z | | y | | | Y \ | | | \|_____x | | | | | | | | | | | | X ^ | | | | | | | | | | | (o) (o) | | watching | | left-eye right-eye direction | | (depth) | |------------------------------------------------------------|In fig.2 are shown the kind of "pictures" that each eye gets:
(fig.2L -left eye, fig.2R -right eye; the '+' marks the center of each picture)
|------------------------------| |-----------------------------| | Fig.2L | | Fig.2R | | | | | | | | | | | | | | X Y + | | X Y + | | | | | | | | | | | | | | | | | |------------------------------| |-----------------------------|As you can notice the 'X' shifts more than the 'Y' from one picture to another. This is an indication that the X object is 'closer' than Y.
where "dx.hrz.hhh ( A, '+')" means distance (on the horizontal axis) in the hhh picture from object A to origin/center.
Furthermore, with good approximation we can say that any objects with the same 'shift' are at the same "depth" (z)
In the same way, the eyes forward to the brain two slightly different pictures. It is the brain that must "compute" a 3-D representation of the scene. The difficulty is to know which pairs must be associated to "compute" the z-coordinate. In the example above it's easy to assume that the 'X' from each picture is associated to one 'X' object. The same goes for the two 'Y'. But the images that the brain gets to compute, can be quite complicated. What if there are more X-s and Y-s in each picture ? How does the brain establish the "couples" for which to calculate the shift/depth ? A clue is that each pair must be on the same height (y). Which means that the brain should not try to associate spots, patterns that are located at different heights. But that is not enough !
The 'brain' can make mistakes in this process of designation of pairs! It is that which make possible the 3-D feeling that we get from stereograms.
The simplest stereogram that we can get is something like-this:
_______________________________________________________________ | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | | * * * * * * | |-------------------------------------------------------------| Column:1 2 3 4 5 6Using the same procedure as in the beginning of this document you should be able to see the same '*' columns but "somewhere behind" this document.
In fig.3 (Left/Right) I have represented the kind of pictures that the eyes forward to the brain when looking at the preceding stereogram. (notice '+', the center)
|-------------------------------| |-----------------------------| | : : : : :Fig.3L | |: : : : : Fig.3R | | : : : : : : | |: : : : : : | | : : : : : : | |: : : : : : | | : : : : : : | |: : : : : : | | : : +: : : : | |: : : : + : | | : : : : : : | |: : : : : : | | : : : : : : | |: : : : : : | | : : : : : : | |: : : : : : | | : : : : : : | |: : : : : : | |-------------------------------| |-----------------------------| column: 1L 2L 3L 4L 5L 6L 1R 2R 3R 4R 5R 6RNormally the brain will associate the columns in the following way:
but it can happen that the brain does the following association:
Remember: All columns look alike !
Of course it is possible that the brain makes other associations of these
kinds:
It can be noticed that by choosing a diferent association of columns the "shift" between the images of the objects changes. As a result the "depth" of the perceived objects changes. In the association 1L-2R, 2L-3R,... the shift is reduced -> the "depth" increases -> the columns seem somewhere behind.
Is it possible to determine exactly the power of the brain in matching complicated images ? I thought, some time ago, what would happen if we put someone in front of a large panel situated at a convenient distance (so that the eyes are relaxed) and the panel is full of randomly disposed spots. The spots should be all alike and in very great number, very small but big enough to not became a uniform gray. The brain should be overwhelmed by the great number of matches that it must try. What will happen ? The person will get dizzy ? get a headache ? Or will the person be forced to see just a gray fog ?
Most Stereogram pictures are usually generated so that if you look at (converge your eyes on) a position twice as far away as the picture, and focus on the picture, generally after a few minutes you see a surprising 3D image!
Most people find this extremely difficult for the first time. You have to focus on a point which is different from where you are looking. This is known as "de-coupling" your vision process. Instinctively people focus at the same point they are looking at, and this is the main obstacle in seeing images of this type.
This is why most posters come with a reflective surface such as glass or plastic covering them---if you try to look at your reflection you will be looking at a point twice as far away as the actual poster. It has been noted by almost everyone that while this sometimes helps beginners see the 3D effect for the first (and perhaps even the first few) times, experienced viewers to not need any help like this, and indeed the reflection is usually very distracting and decreases the quality of the 3D effect.
There are many ways to teach this de-coupling to either yourself or to others, including (in almost no particular order):
NOTE: It is generally easier to see Stereograms under bright light. I have been told this is because you eye relies less on focus under harsh conditions. Another point, to see stereo images, you need to have "passable" use of both eyes. If you wear glasses try with and without them on. Some short-sighted people can see them easier without their glasses on (if they get closer to the picture).
The pull-back
Hold the picture (or move your face) so your nose is touching the picture. Most people than can not possibly focus with something this close to their eyes, and they will be content with their inability to focus. With the picture up close, pretend that you are looking straight ahead, right through it. Now slowly pull the picture (or your face) away while keeping your eyes pointed straight ahead. If you do this slow enough, an image usually appears when the picture is at the correct distance.
The reflection
As mentioned above, with a reflective surface it is sometimes a lot easier to converge your eyes in the correct position. You simply focus on your nose or some central reflection in the picture, and wait until you focus on the image.
The drunk-eyes
This method is used to describe the feeling of the process of deconverging your eyes. It is very much like being drunk or having "staring-eyes". Your eyes don't look at the object, but rather through it. This state is common to some in the morning before the coffee caffine fix.
The wall, or the finger
Hold the picture so that it is half between you and a wall. Look *over* the top of the picture towards the wall, and focus on something such as a picture hook or mark. While keeping this "gaze" either slowly lift the picture or lower your eyes while keeping them converged on the wall.
A similar approach (but for cross-eyed viewing) is to stand arm's length away from the picture and put your finger on the picture. While slowly pulling your finger towards your face, keep looking at your finger, you will notice the picture becoming blurry, and at an intermediate position you will (eventually) see the 3D image.
The see-through
Photocopy the picture onto a transparency. Then focus through the transparency onto something twice as far away. This is similar to (The wall, or the finger) above except now you don't need to change the position of your gaze.
Wide-Eyes
This method involves building a device to widen your interocular distance, as well as allowing the adjustment of the convergence of your eyes. It's so simple, you almost don't have to be there!. I have had a look through such a device, and the results were very good.
(diagram pending...)
Cheating...
To cheat, photocopy the image onto two transparencies, then overlay them and carefully shift them horizontally so they are about an inch or two out of alignment. Somewhere around this position you will see a rendition of the image. Obviously in 2D not 3D, but you will at last finally believe there is "somethere in there."
And if you're still having difficulty, this comment by jhakkine@cc.Helsinki.FI (Jukka Hakkine),
may apply to you:
"Richards (1970; Experimental Brain Research 10, 380-388) did a
survey among 150 MIT students and noticed that "...about 4%
of the students are unable to use the cue offered by disparity, and
another 10% have great difficulty and incorrectly report the depth
of a Julesz figure relative to background." He further concludes that
inability to use stereopsis is an inherited defect and is related
to "three-pool"-hypothesis of binocular neurons."
But don't dispair, don't give up until you're tried for at least a month!
For those who do not have a local SIRDS distributor (i.e., the poster cart at the mall), here are a few companies you may be able to order from.
$20 Earth (mercator projection of the Earth's altitudes)
$20 Salt Lake LDS Temple Centennial
$20 Beethoven (300 DPI! Very smooth.)
These prints are 18x24 inches. Retail price for the 18x24 inch prints is $20 plus $3 s/h. Utah residents add 6.25% sales tax. Wholesale and distributor discounts are available. Quotes for custom work are also available. Cost and minimum order varies, based on content.
PO Box 381
Orem, UT 84057-0381,USA
Ph: (801) 221-9233
email: John M. Olsen (jolsen@nyx.cs.du.edu)
(Distributors)
Privileged Traveler
4914 Brook Road
Lancaster, OH 43130, USA
(614) 756-7406
Glow in the Dark Poster Series - $22 (size: 18" X 24")
Retail prices (USA) stated above plus $3 S&H (USA) - call for overseas S&H. Ohio residents add 5.5% sales tax.
92 Turnmill St,
Farringdon,
London, EC1, U.K.
+44 (0)71 490 2342
Paul Dale (P.A.Dale@bath.ac.uk)
tel: +44 (0)225 826 215
Send a catolog request to:
N.E. Thing Enterprises
19C Crosby Drive
Bedford, MA 01730, USA.
-- info from: Neal T. Leverenz (at802@yfn.ysu.edu)
There are many fine programs for generating SIRDS out there in the Internet. The following programs are available from ftp://katz.anu.edu.au/pub/stereograms(IP 150.203.7.91). Here is a list of the ones I currently know about:
"Principles of Cyclopean Perception"
(c) 1972 by Bela Julesz,
MIT press.
Considered by most as the original work oPn Random Dot Stereograms:
-- Charles Eicher (CEicher@Halcyon.com)
"Magic Eye: A New Way of Looking at the World"
(c) 1993 by N.E. Thing Enterprises.
Andrews and McMeel, A Universal Press Syndicate Company
Kansas City, USA. ISBN: 0-8362-7006-1
First Printing, September 1993 ... Fifth Printing, January 1994
Introduction contains a history of the technique and phenomena.
Viewing Techniques are explained. 25 pages of full-color STARE-E-O images.
(Plus images inside the front and back covers.) "Answers" included.
32 pages, hardcover, 8.75x11.5 inches, horizontal format, with slipcover.
US$12.95 ($16.95/Canada)
"Magic Eye II: Three Dimension Trip Vision"
(c) 1992 by N.E. Thing Enterprises/Tenyo Co., Ltd.
Korean Translation (c) 1993 by Chungrim Publishing Co.
All the text is in Korean, so I can't read it. But it has some pretty
cool pictures. They are all SIRxS where x is various patterns/pictures.
I paid US$20 for it. Interestingly, this title doesn't seem to be mentioned
in my N.E. Thing catalog.
-- Mark Hudson (M_Hudson@delphi.com)
They've taken the technique a step further by applying the pseudo-random
patterns as noise superimposed over another image. You look at the pages of
this book and see one image, then cross your eyes and concentrate on the
replicated patterns in the background noise and see the second image. It's
kinda cute.
-- Robert Reed <robert@slipknot.rain.com>
"Das magische Auge" (German version of "Magic Eye")
(c) 1994, arsEdition, Munich
ISBN 3-7607-8297-3
DM 29,- (seen at a store for this price)
"Stereo Computer Graphics and Other True 3D Technologies"
(c) 1993, David F. McAllister, Ed.
Princeton University Press
ISBN 0-691-08741-5 US$75.00
It has several nice color plates, with stereo "triads". The triads consist
of a left, a right, then another left image. Use the left pair for viewing
walleyed, or the right pair for viewing crosseyed.
-- Mike Weiblen (mew@digex.net)
"Random Dot Stereograms"
(c) 1993, Kinsman Physics, P.O. Box 22682, Rochester, NY 14692-2682, USA.
An excellent source of information (sample RDS and source code)
-- Eric Thompson (E.Thompson@ncl.ac.uk)
ISBN 0-9630142-1-8
US$ 13.95
"Human Stereopsis. A psychological Analysis"
(c) 1976, W.L. Gulick and R.B. Lawson,
Oxford University Press.
R.I. Land and I.E. Sutherland, (1969) "Realtime, color, stereo, computer displays" Applied Optics, 8(3): 721-723; March
D. Marr and T. Poggio, (1976) "Cooperative computation of stereo displarity" Science, 194: 283-287; October 15
D. Marr and T. Poggio, (1979) "A computational theory of human stereo vision" Proceedings Royal Society of London, B204: 304-328 Science, 194: 283-287; October 15
G.S. Slinker and R.P. Burton, (1992) Journal of Imaging Science and Technology, 36(3): 260-267; May/June
D. G. Stork and C. Rocca, (1989) "Software for generating auto-random-dot stereograms", Behavior Research Methods, Instruments, and Computers 21(5): 525-534.
H.W. Thimbleby and C. Neesham, (1993) "How to play tricks with dots" New Scientist, 140(1894): 26-29; October 9
H.W. Thimbleby, S.J. Inglis, and I.H. Witten, (1994) ftp://ftp.cs.waikato.ac.nz/pub/SIRDS (IP 130.217.240.3), in press.
C.W. Tyler and M.B. Clarke, (1990) "The Autostereogram" SPIE Stereoscopic Displays and Applications 1258: 182-196
C. Wheatstone, (1838) "Contributions to the physiology of vision. Park I. On some remarkable, and hitherto unobserved, phenomena of binocular vision" Royal Society of London Philosophical Transactions 128: 371-394
C. Wheatstone, (1838) "Contributions to the physiology of vision. Park II. On some remarkable, and hitherto unobserved, phenomena of binocular vision (continued)" The London, Edinburgh, and Dublin Philisophical Magazine and Journal of Science, series 4, 3: 504-523
For people without graphics displays, or simply like having a 3D .signature, you can create a stereo effect using repetitive characters.
Text Stereograms (not random)
-- the following by Dave Thomas (dthomas@bbx.basis.com)
O O n n n n n n n n n n n n n n n n f f f f f f f f f f f f f e e e e e e e e e e e e e e e e a a a a a a a a a a a a a a a a a a a a a a a a a a a a a r r r r r r r r r r r r r r r r r r r r r r r r r r r r r g g g g g g g g g g g g g g g g g g g g r r r r r r r r r r r r r r r e e e e e e e e e e e e a a a a a a a a a a t t t t t t t t t ]]][[[[]]]][[[[]]]][[[[]]]][[[[]]]][[[[]]]][[[[]]]][[[[]]]][[ d d d d d d d d d e e e e e e e e e e p p p p p p p p p p p p t t t t t t t t t t t t t t t h h h h h h h h h h h h h h h h h h h h-- the next few are by DR J (me90drj@brunel.ac.uk)
/^\ /^\ /^\ /^\ /^\ #################################################################### #################################################################### _/ #### _/ ####\ _/ #### \ _/ #### \ _/#### \ / ## \__/ ## \__/ ## \__/ ## \__/ ## \ ____ ## ____ ## ____ ## ____ ## ____ ## ____ / \## / \ ## / \ ## / \ ## / \ ##/ \ | 2D |# | 2D |## | 2D | ## | 2D | ##| 2D | #| 2D | | or |# | or |## | or | ## | or | ##| or | #| or | | 3D |# | 3D |## | 3D | ## | 3D | ##| 3D | #| 3D | | ?? |# | ?? |## | ?? | ## | ?? | ##| ?? | #| ?? | | | | | | | | | | | | | -------- -------- -------- -------- -------- -------- \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\\\ \\\\\\ \\\\\\ \\\\\\ \\\\\\ \\\\\\ \\\\\\ /^\ /^\ /^\ /^\ _ / \ _ / \ _ / \ _ / \ _ / \_ \_ / \_/ \_ / \_ / \_ / \_ / \_ / \_ / \ \ / \ \ / \ \ / \ / \ __/ \ __/ \ __/ \ __/ \ __/ \ xx \ /xx \ xx \ \ xx / \ xx / \ xx x XX x \_ x XX \ x x XX \ x x XX \ x x XX _/ \ x XX X XX-x-x-XxX--X XX-x--x-XxX-X XX-x---x-XxXX XX-x----x-XxX XX-x-----x- X XX XxXX X XxX XxXX X XxX XxXX X XxX XxXX X XxX XxXX X Xx XxXX XXxX __X XXxX __X XXxX __X XXxX __X XXxX __ XX XX XX XX XX XX XX __XX ______XX ______XX ______XX ______XX ______XX(Cactii modified from a drawing by Chris Pirillo)
\ . \ . \ . \ . \ .\ \. \ . \. . \ . . \ . .\ . \. . \ . . \\ . \\ . \\ . \\ .\\ \\ \\ \\ . \\ . \\ .\\ \\ \\ \\. \\. \\ . \\ . \\ . \\ . \\ . \\ * . * . * . * . * . * . * . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ___/~\_/\____/~\_/\____/~\_/\____/~\_/\____/~\_/\____/~\_/\____/~\_/\_ _/~~\_ _/~~\_ _/~~\_ _/~~\_ _/~~\_ _/~~\_ _/~~\_ _/~~\_ . . . . . . . . + + + + + . . . . * * * * . . . . . . . . + + + + * * * * . . . . . . . . . . . . + + + + + . . . . . . . . * * * * . . . . . . . . . + + + + + . . . . * * * * . . . . * * * * . . . . . . . . + + + + . ' . ' . ' * . ' * . . . . . ' . ' _' ____________________ ' ____________________ ' _ |____|~~ _ |____|~~ _ |____| _ _ ' = ' = / / . -- ,.. / . -- ,.. / ,` '; ,` '; .,.__ _,' /'; . .,.__ _,' /'; . .:',' ~~~~ '. '~ .:',' ~~~~ '. '~ :' ( ) . ; ):;. :' ( ) . ; )::;. '. '. .=----=..-~ .;' '. '. .=----=..-~ .;' ' ;' :: ':. '" ' ;' :: ':. '" ~~~~~~ (: ': ~ ;) ~~~~~~~ (: ': ~ ;) ~~~~~~~~~ '~ \\ '" ./ '~ \\ '" ./ '~ ~ '" '" ~ '" '" ~
Most of the discussion about SIRDS has taken place in alt.3d . A lot of people would like to see the death of SIRDS, both due to the overwelming number of people asking FAQ's, and simply because there is much *much* better 3D out there than this!
Usually people post requests for information to newsgroups such as comp.graphics...unfortunately these people sometimes get flamed, get told it is *impossible* to draw them...if this has happened to you read alt.3d , viva la difference.
The following additional information about Julesz seems to be from The Magic Eye, 1993, N.E. Thing Enterprises, Andrews and McMeel. I found it quoted in a newspaper article:
During the 1960s, a researcher named Bela Julesz was the first to use computer-generated 3-D images made up of randomly placed dots to study depth perception in human beings. Because the dot pictures did not contain any other information, like color or shapes, he could be sure that when his subject saw the picture it was 3-D only.
In the years that followed, other people continued using random dot pictures in their work; many of them were graduate students who studied with Julesz. With time they found new and better ways to create these interesting illusions.
"The random-dot stereogram is a very inspiring demonstration of the sophistication and complexity of the information-processing which occurs in everyday human vision.... The first extensive studies of random-dot stereograms were accomplished by Bela Julesz and his colleagues on large and expensive computers, using professional programmers, at the Bell telephone Laboratories." (Boyer,1990)
"Interested readers might consider creating poster-sized images using this technique, or experimenting with supplementary gray-level or color values for each pixel. And, if any reader knows who invented this technique for single image random dot sstereograms, or who created the SEEING THE LIGHT image, please drop a note to this magazine."
-- A few historical comments by jhakkine@cc.helsinki.fi
There was a good article about the early history of RDSs in Vision
Research (Julesz (1986), Vision Research vol. 26 no. 9, 1601-1612).
Julesz who himself was a radar engineer tells that the first RDS
was accidentally taken by a photographic Spitfire flying over Cologne
in 1940! (The picture has been published by Smith (Perception 1977,
vol.6, 233-234)). The picture consists of some city blocks, a bridge
and the river Rhine which is covered by ice. Because the ice is floating
downriver and the pictures are taken at slightly different times,
the ice patterns are slightly different in two stereopairs. This
results a depth parallax between the pictures and when they are
stereoscopically fused there seems to be a deep valley in the middle
of the river. This caused great confusion in the wartime RAF but
no-one could make up an explanation to the phenomenon because at the
time there was no knowledge about stereoscopic processes working
without monocular pattern recognition.
Julesz also mentions that there had been some prior attempts to make RDSs (Aschenbrenner, C.M. (1954) Problems in getting information into and out of air photographs. Photogramm.Engng. 20, 398-401) but without a noticeable succes because the pictures had been hand cut. Because the methods had been so crude there was a good possibility that these pre-RDSs contained monocular depth cues. Julesz created his stereograms with a computer so they were very precise and the possibility of monocular cues was nonexistent. Naturally the leading researchers at the time (Ogle & Wakefield (1967) Vision Research vol.7, 89-98) did not believe that it was possible and the notion of depth perception without monocular cues remained controversial for a long time.
Ogle & Wakefield (1967):
"One obtains the impression from some of Julesz's interesting
experiments that certain targets yield a stereoscopic depth,
but contours cannot be perceived monocularly. However, the
stereoscopic depth experienced in the central portion is that
of a defined square proximal or distal to the background,
determined precisely by the "lines" he "cut" in the background
patterns of random details in each of the stereogram pairs.
It is difficult to believe that a "cut" and displacement of
random patterns - unless the details of patterns are exceedingly
small - result in a randomness on the two sides of the cut.
Some of the dots could have been split. It may be true that
monocularly the contours may be difficult to perceive, but still
we wonder if they are not perceivable."