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Eye Movements and Working Memory Marc Pomplun Department of Computer Science University of Massachusetts at Boston E-mail: [email protected] Homepage: http://www.cs.umb.edu/~marc/. Overview: Image Processing: Convolution Filters Iconic Memory Representations for Visual Search - PowerPoint PPT Presentation
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Eye Movements andWorking Memory
Marc Pomplun
Department of Computer ScienceUniversity of Massachusetts at Boston
E-mail: [email protected]:
http://www.cs.umb.edu/~marc/
Eye Movements andWorking Memory
Overview:
• Image Processing: Convolution Filters• Iconic Memory Representations for
Visual Search• Working Memory Use in a Natural Task• The Working Memory - Eye Movement
Tradeoff
Convolution Filters
Grayscale Image:
109244
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796105
0103112
92361
1/91/91/9
1/91/91/9
1/91/91/9
Averaging Filter:
Image Processing
Original Image:
109244
82013
796105
0103112
92361
Filtered Image:
00000
00
00
00
00000
1/91/91/9
1/91/91/9
1/91/91/9
value = 11/9 + 61/9 + 31/9 + 21/9 + 111/9 + 31/9 + 51/9 + 101/9 + 61/9 = 47/9 = 5.222
55
Image Processing
Original Image:
109244
82013
796105
0103112
92361
Filtered Image:
00000
00
00
00
00000
1/91/91/9
1/91/91/9
1/91/91/9
value = 61/9 + 31/9 + 21/9 + 111/9 + 31/9 + 101/9 + 101/9 + 61/9 + 91/9 = 60/9 = 6.667
55 77
Image Processing
Original Image:
109244
82013
796105
0103112
92361
Filtered Image:
00000
0 0
0 0
0 0
00000
55 77 55
55
55
55 66
6644
Now you can see the averaging (smoothing) effect of the 33 filter that we applied.
Gaussian Filters
2
22
222
1),(),(
yx
eyxGyxW
•1•4•7•4•1
•4•16•26•16•4
•7•26•41•26•7
•4•16•26•16•4
•1•4•7•4•1
• Discrete version: 1/273
• implement decreasing influence by more distant pixels
Gaussian Filters
original 33 99 1515
Effect of Gaussian smoothing:
Sobel Filters
• Sobel filters are an example for edge detection filters.
• Two small convolution filters are used successively:
Sx
10-1
20-2
10-1
-1-2-1
000
121
Sy
Sobel FiltersSobel filters yield two interesting pieces of information:
• The magnitude of the gradient (local change in brightness):
22|| yx ssG
• The angle of the gradient (tells us about the orientation of an edge):
x
y
s
sarctan
Sobel Filters
Original image (left) and result of calculating the magnitude of the brightness gradient with a Sobel
filter (right)
Rao, Zelinsky, Hayhoe & Ballard (2002):
Eye Movements in Iconic Visual Search
Question: How do people represent items in their memory for efficient visual search?Idea: Iconic (appearance-based) multiscale representationSuch representations were modeled using spatiochromatic convolution filters of different scales and orientations.
Rao, Zelinsky, Hayhoe & Ballard
Convolution filters used for the model.
Rao, Zelinsky, Hayhoe & Ballard
According to the model, iconic visual search proceeds as follows:• The first saccade is aimed at the point in the visual scene whose low-frequency features have the best match with the low-frequency features of the memorized object.• For the programming of the following saccades, higher and higher frequencies are included, until the target is found.
Rao, Zelinsky, Hayhoe & Ballard
Coarse-to-fine scanning mechanism
Rao, Zelinsky, Hayhoe & Ballard
Conclusion: Good correspondence between modeled and empirical scanpaths
Ballard, Hayhoe & Pelz (1995):
Memory Representations in Natural Tasks
Task: Copy a pattern of colored blocks
Ballard, Hayhoe & Pelz
Possible strategies for completing the block copying task. Participants performed the following operations:(M)odel inspection, (P)ickup, and (D)ropoff.
Ballard, Hayhoe & Pelz
Typical hand and gaze trajectories for a single copying step
Ballard, Hayhoe & Pelz
Empirical frequency of individual strategies in the block copying task
Ballard, Hayhoe & Pelz
Conclusions:
• In the block copying task, working memory is only sparsely used.
• Instead, subjects prefer to make additional eye movements.
• Because eye movements are “inexpensive”, subjects use the visual scene as an “external memory” rather than building an internal representation of it.
Eye Movement - Working Memory
Tradeoff (Inamdar & Pomplun, 2003)Based on the previous study by Ballard et al, it
seems that using working memory is clearly more “expensive” than performing eye movements.
So maybe a “cost model” is an adequate way of describing and predicting behavior in visual tasks.
Inamdar & Pomplun
The basic idea is that the visual system (including the cognitive mechanisms that are required for performing the task) optimizes visual behavior, i.e. minimizes its effort (cost).
Is there such a tradeoff between the use of working memory and eye movements?
If so, what exactly is minimized? Can this be quantified?
Inamdar & Pomplun
• Let subjects perform a visual task that requires eye movements and extensive use of visual working memory.
• Vary the “cost” of eye movements.
• Hypothesis: If the assumed tradeoff between eye movements and working memory exists, costlier eye movements should lead to increased use of working memory.
Stimuli in Experiment 1
• Subjects were presented with two columns of simple geometrical objects in three different colors and three different shapes.
• The columns were identical except for one object that differed in either its color or its shape (in target-present trials).
• Subjects had to indicate whether such a target was present or not.
• The objects in the non-attended hemifield were always masked.
• The cost of eye movements was varied by changing the distance between the two columns.
Stimuli in Experiment 1
Stimuli in Experiment 1
Stimuli in Experiment 1
Stimuli in Experiment 1
Eye Movements in Experiment 1
Eye Movements in Experiment 1
Results of Experiment 1
Results of Experiment 1
Results of Experiment 1
Experiment 2
• What happens if the capacity limit of visual working memory is reached?
• By just varying the distance between columns, the cost of eye movements cannot be dramatically increased.
• Idea: “Artificially” increase the cost of eye movements in the present paradigm by delaying the unmasking of objects after any gaze switch between hemifields.
Stimuli in Experiment 2
• We used the same stimuli as in Experiment 1, but only those for the “medium-distance” condition.
• Three visibility delays were used: 0ms, 500ms, and 1000ms.
• During the delays, objects in both hemifields were masked.
Results of Experiment 2
Results of Experiment 2
Results of Experiment 2
Conclusions
• There clearly is a cost-minimizing behavior with regard to eye movements and working memory.
• However, the current data does not allow to build a quantitative model of this phenomenon.
• It seems that people slightly overestimate their working memory capacity when they are forced to heavily increase their working memory load.