fractal eye movements

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The eye makes quick movements called saccades as it scans the visual field. Saccades have an average fractal dimension of 1.5 the most fractal you can get! - PowerPoint PPT Presentation

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Fractal applications in social science and humanities

Fractal eye movementsThe eye makes quick movements called saccades as it scans the visual field.

Saccades have an average fractal dimension of 1.5 the most fractal you can get!

Why would the eye adopt a fractal trajectory with aDvalue of 1.5? An appealing possible answer lies in previous studies of the foraging behavior of animals. A number of successful investigations have proposed that animals adopt fractal motions when searching for food.

The amount of space covered by fractal trajectories is bigger than for random Brownian motion

Taylor RP, Spehar B, Van Donkelaar P and Hagerhall CM (2011) Perceptual and physiological responses to Jackson Pollocks fractals.Front. Hum. Neurosci.5:60.

Fractal eye movementsTaylor RP, Spehar B, Van Donkelaar P and Hagerhall CM (2011) Perceptual and physiological responses to Jackson Pollocks fractals.Front. Hum. Neurosci.5:60.

Clouds: D= 1.3 Early Jackson Pollock: D= 1.1

Trees: D= 1.9 Later Jackson Pollock: D= 1.9

Fractal eye movementsTaylor RP, Spehar B, Van Donkelaar P and Hagerhall CM (2011) Perceptual and physiological responses to Jackson Pollocks fractals.Front. Hum. Neurosci.5:60.Clouds: D= 1.3 Early Jackson Pollock: D= 1.1

Jackson Pollocks paintings appear to increase in fractal dimension with time.

Fractal eye movementsTaylor RP, Spehar B, Van Donkelaar P and Hagerhall CM (2011) Perceptual and physiological responses to Jackson Pollocks fractals.Front. Hum. Neurosci.5:60.Participants were shown a pair of images with differentDvalues on a monitor and asked to chose the more visually appealing. The presentation order was fully randomized. Based on 220 participants, the visual preference peaks for fractal dimension between 1.3 and 1.5.

Fractal eye movementsTaylor RP, Spehar B, Van Donkelaar P and Hagerhall CM (2011) Perceptual and physiological responses to Jackson Pollocks fractals.Front. Hum. Neurosci.5:60.Participants rated the naturalness of silhouettes and the results showed that the perceived naturalness was also highest for the silhouettes with a fractal dimension of around 1.3.

Fractal images quantified byD= 1.3 induce the largest changes in subjects qEEG response

D(A)1.14(B)1.32(C)1.51 and(D)1.70.Fractal eye movementsTaylor RP, Spehar B, Van Donkelaar P and Hagerhall CM (2011) Perceptual and physiological responses to Jackson Pollocks fractals.Front. Hum. Neurosci.5:60.Is Jackson Pollock an artistic enigma? According to our results, the lowD patterns painted in his earlier years should have more visual appeal than the higherDpatterns in his laterclassicpoured paintings. What was motivating Pollock to paint highDfractals? Should we conclude that he wanted his work to be esthetically challenging to the gallery audience? It is interesting to speculate that Pollock might have regarded the visually restful experience of a lowDpattern as being too bland for an artwork

Fractal eye movementsFilckr and other geotagging tools: researchers claim that linear eye movements between long arrays of thumbnails and maps is visually challenging (leading to eye fatigue etc.).

Their fractal view tool uses a nonlinear scaling factor to put images near the cursor at high magnification and those far away at lower magnification. (note however no strong data yet to prove them right about eye fatigue reduction)

Davide Carboni, Valentina Marotto, & Pietro Zanarini (2011). Visualisation of geo-tagged pictures in the webInt. J. Web Eng. Technol., 6(3), 220-242

Fractal poverty trapsPersistent poverty at individual, household, community, national and international scales.