scholarly journals Round Compression for Parallel Matching Algorithms

2019 ◽  
Vol 49 (5) ◽  
pp. STOC18-1-STOC18-44 ◽  
Author(s):  
Artur Czumaj ◽  
Jakub Ła̧cki ◽  
Aleksander Ma̧dry ◽  
Slobodan Mitrović ◽  
Krzysztof Onak ◽  
...  
Keyword(s):  
Parallel Matching

A Comparison of Visual Tilt Illusions Measured by the Techniques of Vertical Setting, Parallel Matching, and Dot Alignment

Perception ◽  
1979 ◽  
Vol 8 (1) ◽  
pp. 47-57 ◽  
Author(s):  
Peter Wenderoth ◽  
Alan Parkinson ◽  
Dennis White
Keyword(s):  
Test Line ◽  
Visual Display ◽  
The Other ◽  
Matching Task ◽  
Independent Evidence ◽  
Tilt Illusion ◽  
Parallel Matching ◽  
Attraction Effects ◽  
Task Conditions ◽  
Alignment Errors

The tilt illusion (TI) was investigated by using both short (19 min) and long (2 deg 6 min) test lines, at three angles of test line-inducing line separation (15°, 45°, and 75°). Three groups of ten observers each provided data under one of three task conditions: vertical judgment, parallel matching, and dot alignment on a common visual display. The main result was that both the vertical judgment and the parallel matching task provided similar, classic TI angular functions with the means ordered 15° > 45° > 75° and with small attraction effects at 75° in three of the four relevant functions. The third task, dot alignment, yielded results different from the average of the other two: no attraction effects occurred and, with the short test line, the obtained mean illusion at 45° exceeded those at the other intersect angles. These results are consistent with alignment data reported by others. One explanation is that the inducing line produces an apparent bowing of the test line which would be reflected in dot alignments but not in vertical setting or in parallel matching. However, direct evidence does not support this hypothesis. An alternate hypothesis, for which independent evidence exists, is that alignment errors reflect perceptual mistracking but that the origin of these errors is not at the tip of the test line but within it. Although this does not explain dot alignment errors, it highlights their complexity and the need to interpret them with caution.

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