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Hack 18. When Time Stands Still
Our sense of time lends a seamless coherence to our conscious experience of the world. We are able to effortlessly distinguish between the past, present, and future. Yet, subtle illusions show that our mental clock can make mistakes. You only have to enjoy the synchrony achieved by your local orchestra to realize that humans must be remarkably skilled at judging short intervals of time. However, our mental clock does make mistakes. These anomalies tend to occur when the brain is attempting to compensate for gaps or ambiguities in available sensory information. Such gaps can be caused by self-generated movement. For example, our knowledge about how long an object has been in its current position is compromised by the suppression of visual information [Hack #17] that occurs when we move our eyes toward that objectwe can have no idea what that object was actually doing for the time our eyes were in motion. This uncertainty of position, and the subsequent guess the brain makes, can be felt in action by saccading the eyes toward a moving object. In Action Sometimes you'll glance at a clock and the second hand appears to hang, remaining stationary for longer than it ought to. For what seems like a very long moment, you think the clock may have stopped. Normally you keep looking to check and see that shortly afterward the second hand starts to move again as normalunless, that is, it truly has stopped. This phenomenon has been dubbed the stopped clock illusion. You can demonstrate it to yourself by getting a silently moving clock and placing it off to one side. It doesn't need to be an analog clock with a traditional second hand; it can be a digital clock or watch, just so long as it shows seconds. Position the clock so that you aren't looking at it at first but can bring the second hand or digits into view just by moving your eyes. Now, flick your eyes over to the clock (i.e., make a saccade [Hack #15] ). The movement needs to be as quick as possible, much as might happen if your attention had been grabbed by a sudden sound or thought [Hack #37] ; a slow, deliberate movement won't cut it. Try it a few times and you should experience the "stopped clock" effect on some attempts at least.
How It Works When our gaze falls on an object, it seems our brain makes certain assumptions about how long that object has been where it is. It probably does this to compensate for the suppression of our vision that occurs when we move our eyes [Hack #17] . This suppression means vision can avoid the difficult job of deciphering the inevitable and persistent motion blur that accompanies each of the hundred thousand rapid saccadic eye movements that we make daily. So when our gaze falls on an object, the brain assumes that object has been where it is for at least as long as it took us to lay eyes on it. Our brain antedates the time the object has been where it is. When we glance at stationary objects like a lamp or table, we don't notice this antedating process. But when we look at a clock's second hand or digits, knowing as we do that they ought not be in one place for long, this discord triggers the illusion. This explanation was supported and quantified in an experiment by Keilan Yarrow and colleagues at University College, London and Oxford University.1 They asked people to glance at a number counter. The participants' eye movements triggered the counter, which then began counting upward from 1 to 4. Each of the numerals 2, 3, and 4 was displayed for 1 second, but the initial numeral 1 was displayed for a range of different intervals, from 400 ms to 1600 ms, starting the moment subjects moved their eyes toward the counter. The participants were asked to state whether the time they saw the numeral 1 was longer or shorter than the time they saw the subsequent numerals. Consistent with the stopped clock illusion, the participants consistently overestimated how long they thought they had seen the number 1. And crucially, the larger the initial eye movement made to the counter, the more participants tended to overestimate the duration for which the initial number 1 was visible. This supports the saccadic suppression hypothesis, because larger saccades are inevitably associated with a longer period of visual suppression. And if it is true that the brain assumes a newly focused-on target has been where it is for at least as long as it took to make the orienting saccade, then it makes sense that longer saccades led to greater overestimation. Moreover, the stopped clock illusion was found to occur only when people made eye movements to the counter, not when the counter jumped into a position before their eyesagain consistent with the saccadic suppression explanation. You'll experience an effect similar to the stopped clock illusion when you first pick up a telephone handset and get an intermittent tone (pause, beeeep, pause, beeeep, repeat). You might find that the initial silence appears to hang for longer than it ought to. The phone can appear dead and, consequently, the illusion has been dubbed the dead phone illusion. The clock explanation, however, cannot account for the dead phone illusion since it doesn't depend on saccadic eye movement.2 And it can't account, either, for another recent observation that people tend to overestimate how long they have been holding a newly grasped object,3 which seems like a similar effect: the initial encounter appears to last longer. One suggestion for the dead phone illusion is that shifting our attention to a new auditory focus creates an increase in arousal, or mental interest. Because previous research has shown that increased arousalwhen we're stressed, for instancespeeds up our sense of time, this could lead us to overestimate the duration of a newly attended-to sound. Of course, this doesn't fit with the observation mentioned before, that the stopped clock illusion fails to occur when the clock or counter moves in front of our eyessurely that would lead to increased arousal just as much as glancing at a clock or picking up a telephone. So, a unifying explanation for "when time stands still" remains elusive. What is clear is that most of the time our brain is extraordinarily successful at providing us with a coherent sense of what happened when. End Notes 1. Yarrow, K., Haggard, P., Heal, R., Brown, P., & Rothwell, J. C. (2001). Illusory perceptions of space and time preserve cross-saccadic perceptual continuity. Nature, 414(6861), 302-305. 2. Hodinott-Hill, I., Thilo, K. V., Cowey, A., & Walsh, V. (2002). Auditory chronostasis: Hanging on the telephone. Current Biology, 12, 1779-1781. 3. Yarrow, K., & Rothwell, J. C. (2003). Manual chronostasis: Tactile perception precedes physical contact. Current Biology, 12(13), 1134-1139. Christian Jarrett |
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Hack 19. Release Eye Fixations for Faster Reactions
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Hack 20. Fool Yourself into Seeing 3D
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Hack 21. Objects Move, Lighting Shouldn't
Moving shadows make us see moving objects rather than assume moving light sources. Shadows get processed early when trying to make sense of objects, and they're one of the first things our visual system uses when trying to work out shape. [Hack #20] further showed that our visual system makes the hardwired assumption that light comes from above. Another way shadows are used is to infer movement, and with this, our visual system makes the further assumption that a moving shadow is the result of a moving object, rather than being due to a moving light source. In theory, of course, the movement of a shadow could be due to either cause, but we've evolved to ignore one of those possibilitiesrapidly moving objects are much more likely than rapidly moving lights, not to mention more dangerous. In Action Observe how your brain uses shadows to construct the 3D model of a scene. Watch the ball-in-a-box movie at: · http://gandalf.psych.umn.edu/~kersten/kersten-lab/images/ball-in-a-box.mov (small version) · http://gandalf.psych.umn.edu/~kersten/kersten-lab/demos/BallInaBox.mov (large version, 4 MB)
The movie is a simple piece of animation involving a ball moving back and forth twice across a 3D box. Both times, the ball moves diagonally across the floor plane. The first time, it appears to move along the floor of the box with a drop shadow directly beneath and touching the bottom of the ball. The second time the ball appears to move horizontally and float up off the floor, the shadow following along on the floor. The ball actually takes the same path both times; it's just the path of the shadow that changes (from diagonal along with the ball to horizontal). And it's that change that alters your perception of the ball's movement. (Figure 2-12 shows stills of the first (left) and second (right) times the ball crosses the box.) Figure 2-12. Stills from the "ball-in-a-box" movie
Now watch the more complex "zigzagging ball" movie (http://www.kyb.tue.mpg.de/links/demo.html; Figure 2-13 shows a still from the movie), again of a ball in motion inside a 3D box. Figure 2-13. A still from the "zigzagging ball" movie1
This time, while the ball is moving in a straight line from one corner of the box to the other (the proof is in the diagonal line it follows), the shadow is darting about all over the place. This time, there is even strong evidence that it's the light sourceand thus the shadowthat's moving: the shading and colors on the box change continuously and in a way that is consistent with a moving light source rather than a zigzagging ball (which doesn't produce any shading or color changes!). Yet still you see a zigzagging ball. How It Works Your brain constructs an internal 3D model of a scene as soon as you look at one, with the influence of shadows on the construction being incredibly strong. You can see this in action in the first movie: your internal model of the scene changes dramatically based solely on the position and motion of a shadow. I feel bad saying "internal model." Given that most of the information about a scene is already in the universe, accessible if you move your head, why bother storing it inside your skull too? We probably store internally only what we need to, when ambiguities have been involved. Visual data inside the head isn't a photograph, but a structured model existing in tandem with extelligence, information that we can treat as intelligence but isn't kept internally. T.S. The second movie shows a couple more of the assumptions (of which there are many) the brain makes in shadow processing. One assumption is that darker coloring means shadow. Another is that light usually comes from overhead (these assumptions are so natural we don't even notice they've been made). Both of these come into play when two-dimensional shapesordinary picturesappear to take on depth with the addition of judicious shading [Hack #20] . Based on these assumptions, the brain prefers to believe that the light source is keeping still and the moving object is jumping around, rather than that the light source is moving. And this despite all the cues to the contrary: the lighting pattern on the floor and walls, the sides of the box being lit up in tandem with the shifting shadowthese should be more than enough proof. Still, the shadow of the ball is all that the brain takes into account. In its quest to produce a 3D understanding of a scene as fast as possible, the brain doesn't bother to assimilate information from across the whole visual field. It simplifies things markedly by just assuming the light source stays still. It's the speed of shadow processing you have to thank for this illusion. Conscious knowledge is slower to arise than the hackish-but-speedy early perception and remains influenced by it, despite your best efforts to see it any other way. End Note 1. Zigzagging ball animation thanks to D. Kersten (University of Minnesota, U.S.) and I. Bülthoff (Max-Planck-Institut für biologische Kybernetik, Germany) See Also · The Kersten Lab (http://gandalf.psych.umn.edu/~kersten/kersten-lab) researches vision, action, and the computational principles behind how we turn vision into an understanding of the world. As well as publications on the subject, their site houses demos exploring what information we can extract from what we see and the assumptions made. One demo of theirs, Illusory Motion from Shadows (http://gandalf.psych.umn.edu/~kersten/kersten-lab/images/kersten-shadow-cine.mov), demonstrates how the assumption that light sources are stationary can be exploited to provide another powerful illusion of motion. · Kersten, D., Knill, D., Mamassian, P., & Buelthoff, I. (1996). Illusory motion from shadows. Nature, 379(6560), 31. |
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Hack 22. Depth Matters
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Hack 23. See How Brightness Differs from Luminance: The Checker Shadow Illusion
A powerful illusion of brightness shows how our brain takes scene structure and implied lighting into account when calculating the shade of things. A major challenge for our vision is the reconstruction of a three-dimensional visual world from a two-dimensional retinal picture. The projection from three to two dimensions irrevocably loses information, which somehow needs to be reconstructed by the vision centers in our brain. True, we have two eyes, which helps a bit in the horizontal plane, but the vivid self-experience of seeing a 3D world clearly persists after covering one eye [Hack #22] . In the process of reconstructing 3D from 2D, our brain cleverly relies on previous experience and assumptions on the physics of the real world. Since information is thus fabricated, the process is prone to error, especially in appropriately manipulated pictures, which gives rise to various large classes of optical illusions. We will concentrate here on a fairly recent example, Ted Adelson's checker shadow illusion.1 In Action Take a look at Adelson's checker shadow illusion in Figure 2-19. Figure 2-19. Adelson's checker shadowwhich is brighter, A or B?
We would all agree that one sees a checkerboard with a pillar standing in one corner. Illumination obviously comes from the top-right corner, as the shadow on the checkerboard tells us immediately (and we know how important shadows are for informing what we see [Hack #20] ). All of this is perceived at one rapid glance, much faster than this sentence can be read (lest written!). Now let's ask the following question: which square is brighter, A or B? The obvious answer is B, and I agree. But now change the context by looking at Figure 2-20. The unmasked grays are from the two squares A and B, and unquestioningly the two shades of gray are identical (in fact, the entire figure was constructed just so). Figure 2-20. This checkerboard is the same as the first, except for the added barsnow does A look brighter than B?
You can prove it to yourself by cutting out a mask with two checker square-size holes in it, one for A and one for B, and putting it over the original checkerboard (Figure 2-19). How It Works If squares A and B in the first case have clearly differing brightness and in the second case they have the same, what gives? Surely the two alternatives exclude each other? The solution in a nutshell: brightness depends on context. There is a good reason that visual scientists describe their experiments using the term luminance rather than brightness. Luminance is a physical measure, effectively counting the number of light quanta coming from a surface, then weighting them by wavelength with regard to their visibility. (The unit of measurement, by the way, is candela per square meter, cd/m2. A candela was originally defined as the light from a standard candle 1 foot away.) Brightness, on the other hand, is a subjective measuresomething your brain constructs for your conscious experience. It depends on previous history (light adaptation), the immediate surroundings (contrast effects), and context (as here). It has no dimension but can be measured using psychophysical techniques.
What exactly is happening when comparing Figure 2-19 and Figure 2-20? Well, when I initially asked, "Which square is brighter?", I knew you would give the deeper answer, namely the lightness quality of the substance the squares are made of. I knew youor your smart visual systemwould assess the scene, interpret it as a 3D scene, guess the shadowed and lit parts, predict an invisible light source, measure incoming light from the squares, subtract the estimated effect of light versus shadow, and give a good guess at the true lightnessthe lightness that we would expect the checker squares to really have given the way they appear in the scene they're in. With the mask applied (Figure 2-20), however, we create a very different context in which a 3D interpretation does not apply. Now the two squares are not assumed to be lit differently, no correction for light and shadow needs to be applied, and the brightness becomes equal. The luminance of squares A and B is always identical, but due to different context, the perceived brightness changes. By the way: there are more places in that figure where luminances are equal, but brightness differs, and hunting for those is left as an exercise for the gentle reader. This striking checker shadow illusion by Ted Adelson teaches us quite a number of things: it demonstrates how much unconscious scene computation goes on in our visual brain when it applies inverse perspective and inverse lighting models. It shows us how strongly luminance and brightness can differ, giving rise to perceptual constancies, here light constancy. It also demonstrates the "unfairness" of the term "optical illusion": the first answer you gave was not wrong at all; in fact, it was the answer one would be interested in, most of the time. Imagine the checkerboard were like a puzzle, with missing pieces, and you had to hunt for a matching piece. Material property is what we need then, independent of lighting. In fact, estimating the "true" material properties independent of context is a very hard computational problem and one that hasn't been solved to a satisfying degree by computer vision systems. In Real Life Correction of surface perception for light and shadow conditions is such a basic mechanism of our perceptionand one that normally operates nearly perfectlythat very artificial situations must be created by the accompanying figures for it to reveal itself. That is why we need technical help taking photographs: since photos are normally viewed under different lighting conditions compared to the original scene, professional photographers need to go a long way arranging lighting conditions so that the impression at viewing is the one that is desired. End Note 1. The checker shadow illusion, together with Ted Adelson's explanation, is online (http://web.mit.edu/persci/people/adelson/checkershadow_illusion.html). See Also · You can also use an interactive version of the illusion to verify the colors of the checks do indeed correspond (http://www.michaelbach.de/ot/lum_adelson_check_shadow). · Adelson, E. H. (1993). Perceptual organization and the judgment of brightness. Science 262, 2042-2044. · Adelson, E. H. (2000). Lightness Perception and Lightness Illusions. In The New Cognitive Neurosciences, 2nd edition, 339-351. M. Gazzaniga (ed.). Cambridge, MA: MIT Press. · Todorovic, D. (1997). Lightness and junctions. Perception 26, 379-395. · Blakeslee, B. & McCourt, M. E. (2003). A multiscale spatial filtering account of brightness phenomena. In: L. Harris & M. Jenkin (eds.), Levels of Perception. New York: Springer-Verlag. Michael Bach |
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Hack 24. Create Illusionary Depth with Sunglasses
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Hack 25. See Movement When All Is Still
![]() ![]() Date: 2015-12-11; view: 841
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