|
|
|
|
| Visual search display |
|
|
|
|
|
|
|
| (x=0,y=0) |
|
|
|
|
|
|
|
|
|
|
|      
|
|
|
|
|
|
| (Top-right) |
|
|
|
|
|
|
|
|
|
|
| (x=1024,y= 0) |
|
| 0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Screen center: |
|
|
|
|
|
|
|
|
|
|
| (512, 384) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 384 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| (1024, 768) |
|
|
|
|
|
|
|
|
|
|
| (Bottom right) |
|
| 768 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 0 |
| 512 |
|
| 1024 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
x-coordinate (pixels)
|
|
|  |
|  |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Any patterns in search?
To interpret the time
series (below) we need to know about the screen coordinates (above).
These might seem a bit counterintuitive. Note (above) the x range is 0
to 1024 from lft to rt, and the y range is 0 to 768 top to bottom. X
& Y screen dimensions have (0,0) coordinates at the top left corner
of the screen, (512, 384) is the center, and (768, 1024) at the bottom
right. Thus, When the tracked eyes move to the left (#s decrease on
x-axis) they tend to also move lower in the screen (#s increase on
y-axis). Additional search patterns are described below. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| X dec= left mvmt |
| y dec= upward mvmt** |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1) Left moving eyes tend to also move down.
This is easily seen above in the (apparently) opposing light-blue &
red patterns. These illustrate the correlation between x & y
directions with left-downward mvmt tending to co-occur as do
right-upward movements. Perhaps this has to do with left to right
reading bias; but this is pure speculation.
|
|
|
|
|
|
| 2) Velocity units
are visual
degrees/second & shown in pink &purple at bottom of figure
above. Some x & y contrast again appears with increases in velocity
in the horizontal direction tend to be associated with decreases in the
vertical direction. Another trend is the larger range, variability and
magnitude of velocity in horizontal eye-movements. This can be
attributed to the asymmetry in the shape of our eyes permitting greater
movement along the horizontal dimension. Of greater significance is
*the change in behavior* as a function of change in the size of these
spatial dimensions. This pertains to the important fractal characteristic of
scaling present in many natural systems. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3) What
about all
that variability? The
main
point of the present study is its focus on
the variability present in
eye-movements. Here a key question is
whether this is random variability
or is there some structure? When we
ask about whether there is structure
we are interested in patterns
across the time series, or whether a statistical
memory persists over
the time series. As we'll see, we will be asking
quesitons about what
kind of noise is present in the data and whether
or not it is
considered a brownian or colored form of noise & finally
can we
detect fractal patterns? Here is some more information on these
ideas.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|