“The Break of the Curveball” won first place in this year’s Best Visual Illusion of the Year contest. I created the illusion with Zhong-Lin Lu (University of Southern California) and two former Bucknell undergraduates, Emily Knight (Dartmouth) and Rob Ennis (SUNY Optometry).
The contest, sponsored by the Neural Correlate Society, was held in Naples, Florida, on May 10, 2009. In the words of the contest website:
The contest is a celebration of the ingenuity and creativity of the world’s premier visual illusion research community. Visual illusions are those perceptual experiences that do not match the physical reality. Our perception of the outside world is generated indirectly by brain mechanisms, and so all visual perception is illusory to some extent. The study of visual illusions is therefore of critical importance to the understanding of the basic mechanisms of sensory perception, as well as to cure many diseases of the visual system. The visual illusion community includes visual scientists, ophthalmologists, neurologists, and visual artists that use a variety of methods to help discover the neural underpinnings of visual illusory perception.The contest website lists my affiliation as American University because I am moving to the Psychology department at AU as of this summer. Here is a link to American University’s graduate program in Behavior, Cognition, and Neuroscience.
And here is the curveball illusion:
The text for the entry that I submitted to the contest follows:
Feature Blur and the Break of the Curveball
Arthur Shapiro, Zhong-Lin Lu, Emily Knight, Robert Ennis
American University, University of Southern California, Dartmouth College, SUNY College of Optometry
In the game of baseball, a pitcher stands on a mound and throws a 2.9-inch diameter ball in the direction of home plate. The pitcher creates different types of pitches by releasing the ball at different velocities and with different spins. A typical major league “curveball” travels at about 75 mph, and spins at an oblique angle at about 1500 rpm; this means that the travel time from the pitcher’s hand to home plate is about 0.6 sec, during which time the ball undergoes about 13 rotations.
The spinning of the curveball creates both a physical effect (“the curve”) and a perceptual puzzle. The curve arises because the ball’s rotation creates an imbalance of forces on different sides of the ball, which leads to a substantial deflection in the path of the ball. The perceptual puzzle arises because the deflection of the ball should appear gradual, but from the point of view of the batter standing near home plate, the flight of the ball often appears to undergo a dramatic and nearly discontinuous shift in position (this sudden shift is referred to as the curveball’s “break”).
Here we present an illusion that suggests that the perception of a “break” in the curveball’s path may be related to physiological differences between foveal and peripheral vision. We contend that the visual periphery frequently reports a perceptual combination of features (a process we refer to as “feature blur”) because it lacks the neural machinery necessary to maintain separate representations of multiple features.
Illusion 1: Rotating reversals
In the Rotating Reversals illusion, we illustrate feature blur. In this illusion, six ovals rotate counter-clockwise, but gratings internal to the ovals rotate clockwise.
(See also http://www.illusionsciences.com/2008/12/rotating-reversals.html. As discussed at this site, the Rotating Reversals effect was discovered independently by Shadlen and Meilstrup.)
1. When the observer looks directly at the ovals, the observer can discern both the direction of the ovals and the spin of the grating.
2. When the observer views the display in the periphery, the ring of ovals reverses direction and appears to spin clockwise. We believe that the reversal results from the perceptual combination of the internal and external features (“Feature blur”; see Shapiro, Knight and Lu, SFN abstract).
Illusion 2: The curveball
The curveball illusion consists of a single oval that drifts from the top of the screen to the bottom. The oval contains an internal grating that drifts from right to left. The illusion is analogous to a real curveball because the motion of the global object (i.e., a ball) is independent of the internal motion (i.e., a spin).
1. When the observer tracks the oval foveally, the motion will follow the oval (i.e., the oval appears to descend vertically).
2. When the observer fixates to the right of the screen so that the oval falls in the far periphery, the oval appears to drift down the screen at an oblique angle.
3. When the observer initially fixates to the right of the screen (i.e., viewing the oval in the periphery) and then, in the middle of the oval’s descent, shifts his/her gaze to look directly at the oval (so that the oval is in the fovea), the flight of the oval “snaps” suddenly from an oblique to a vertical descent.
The dramatic shift in direction seen in step 3 of Illusion 2 is analogous to the “break” of the curveball. From a batter’s point of view, the ball in the pitcher’s hand has a visual angle of 0.23 deg; and the ball, when two feet away from home plate, has a visual angle of 6.89 deg. Even if the batter can fixate on the center of the ball, the portion of the ball’s image that falls outside the fovea increases over the course of the ball’s flight. If the batter shifts eye position during the pitch, then the change from fovea to periphery (or vice versa) will be even more dramatic. The perceptual jump (step 3 of Illusion 2) is interesting because humans spend a great deal of time shifting their eyes to move objects from the periphery to the fovea; we are likely to encounter apparent changes in speed and even the trajectory of moving objects on a regular basis.

13 comments:
I have a dead pixel line down the center of my monitor. Makes it where the illusion doesn't work when I know I have a line showing its straight.
This is a neat trick, but I don't think it's very relevant. I've never seen a curveball (or any pitch) spin perfectly sideways. This spin would result in a lazy, swooping slider. Randy Johnson's curve (which behaves more like the aforementioned slider) might be the closest thing, but some of the best curveballs spin straight downward. Thus the optical illusion isn't nearly as prominent as believed.
And even if the ball did spin like that, why is the batter looking at the scoreboard during the pitch instead of the ball? If the batter is focused, both eyes should be directly focused on the ball from the time the pitcher releases it until contact is made with the bat.
This is horseshit. A computer generated optical illusion does not prove that a curve ball doesn't break. How do you explain the appearance of movement from a centerfield camera when the resolution is too poor to depict the spin of the ball?
Absolutely amazing. I finally believe the curveball doesn't curve. (Until I'm in the batter's box again, anyway.)
There are no magic beans in hitting, just keep your eyes on the damn ball!Joe Jackson and Ty Cobb followed this simple rule and could hit any pitch mustered at them. Eyes glued on the ball.
One problem, a curve ball has a 12:00 to 6:00 rotation on it. I'm not sure the illusion would work if the ball were spinning that direction.
I know from experience that if one is catching a curve ball, one will also perceive a break, even though one is viewing the ball straight on. Indeed, one even perceives a break watching a curve ball from centerfield. Thus, it seems like there is some additional mechanism beyond the ball moving from peripheral vision to straight on.
Can you give us the illusion of a winning baseball team in D.C.?
Zach M.
Yes it is science and the visual illusion is quite interesting but the tie between the on screen example and tracking a curve ball compared to a fastball is like apples and oranges even though they declare it to be analogous.
The play between foveal and peripheral vision in the example explains their constructed diagram however in baseball there are many other factors that effect the perception of the incoming pitch not to mention the biggest factor of all... depth (which is not a part of the 2D illusion.)
For a batter the appearance of drastic change in direction of the ball comes from the combination of many elements that vary from pitcher to pitcher and pitch to pitch:
• Arm speed - this is the first visual cue for the batter as to the velocity of the pitch
• Arm angle/hand position - if different can tell the hitter that the pitch is not a fastball
• Release point - this will determine the tightness of the spin and sharpness of the break and is often tied to arm angel and hand position
• Spin - for the batter the spin is more of a confirmation of the above visually processed elements, if you are waiting to judge the pitch based purely off of the spin you are too late, as for the break of the ball this will determine the direction of the path of the ball
• Velocity/gravity - by far velocity is the number one factor in the path of the ball. The slower the pitch the more it drops.
All of that physical stuff aside where the true visual effect comes into play is the learned behavior of the ball in the hitters mind. Those knee bucking curve balls is the batter projecting the path of the ball as a fastball (for a split second) because he did not pick up on the visual cues before the ball left the tip of the pitchers fingers.
Because you must time your swing for the fastball and adjust for the curve or change this is why the hitter can get fooled not because the spin of the ball creates an optical illusion. A curve ball fools the hitter more on speed than movement. This is why "changing speeds" is the key to getting guys out. It is this, the depth factor, that the article and visual illusion does not include and is the biggest factor in the illusion that is created on the field.
Unsurprisingly, I have received many comments on this post. In addition, there has been a great deal of online conversation about the curveball illusion in response to the many blogs and articles on the illusion in the past two weeks. Some writers’ claims about what the curveball illusion proves are (inadvertently) misleading, and some responders have misunderstood the point of the illusion. So, allow me to try to clarify:
1. CURVEBALLS CURVE! This is a fact. A major league curveball deflects by about 14 inches from its initial path. If you want to read about this topic, please go to Terry Bahill’s webpage ( http://gd4.tuwien.ac.at/systeng/bahill/baseball/index.html) or Alan Nathan's page (http://webusers.npl.illinois.edu/~a-nathan/pob/), or read Robert Adair’s wonderful book The Physics of Baseball.
2. ANOTHER FACT: The curve of a curveball is gradual. That is, the curveball travels in an arc whose radius of curvature is nearly constant throughout its flight.
3. A PERCEPTION: Batters report that a curveball appears to move in ways that are not gradual—that a curveball appears to drop, or break, during its flight to home plate. Batters also report that fastballs appear to rise.
4. Because the “break” (see point 3 above) is not easily found in the physics of the curveball, we can refer to that particular aspect of the pitch as “illusory.”
My colleagues and I recently presented a visual display (a.k.a. an illusion) that leads to our hypothesis about why curveballs appear to break.
There are other hypotheses for why curveballs appear to break. See, for instance, http://ftp.at.vim.org/systeng/bahill/publishedPapers/risingFastball.pdf, and the excellent comment by Anonymous just above this comment.
Visual scientists have known for a long time that your peripheral vision is quite different from your central (or foveal) vision. Foveal vision takes up a very small portion of the visual world: it is about 2 degrees of visual angle, which is about equal to the size of your thumb at arm’s distance.
The batter does not have to be looking at a foul pole for the image of the ball to be in the periphery. The image of the ball in the pitcher’s hand can fit entirely into the batter's foveal vision, but even if batters kept their eyes centered on the ball for the entire pitch (which, by the way, they don't/can't), the image of the ball two feet from the plate will be bigger than the fovea and extend well into the visual periphery.
For information on the physics of the curveball, I again refer you to Terry Bahill’s and Alan Nathan's excellent websites: http://gd4.tuwien.ac.at/systeng/bahill/baseball/index.html and
http://webusers.npl.illinois.edu/~a-nathan/pob/
LOL, total ownage of the previous "I'm so smart, this is BS" posters by that last one. Nice.
Your Bahill links are dead. Here is his baseball research webpage:
http://www.sie.arizona.edu/sysengr/baseball/index.html
This is so amazing..
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