Fractal Analysis of Eye Movements during Reading

We present a new method for the analysis of reading eye movements based on the methods of nonlinear dynamics. In this preliminary study, the eye movements of normal and abnormal readers were analyzed for evidence of chaotic, nonlinear dynamical behavior. Both power spectral density analysis and fractal dimension determination showed evidence of nonlinearity as manifest in chaotic behavior. The computed fractal dimension of the system’s presumed attractor seemed directly related to qualitative assessment of reading ability. Representative subjects did not differ in a similar analysis of pursuit movements. Although fractal analysis did not distinguish unconditionally between normal and abnormal reading in this preliminary study, it nevertheless offers a promising hitherto unused approach to the analysis of eye movements and the modeling of oculomotor behavior.

[1]  Ralph Radach,et al.  Eye Movements in Reading , 1999 .

[2]  R. M. Steinman,et al.  The need for an eclectic, rather than systems, approach to the study of the primate oculomotor system , 1986, Vision Research.

[3]  Harry A. Whitaker PERSPECTIVES IN NEUROLINGUISTICS, NEUROPSYCHOLOGY, AND PSYCHOLINGUISTICS , 1985 .

[4]  Itamar Procaccia,et al.  Complex or just complicated? , 1988, Nature.

[5]  J. A. Stewart,et al.  Nonlinear Time Series Analysis , 2015 .

[6]  K. Rayner Eye movements in reading and information processing: 20 years of research. , 1998, Psychological bulletin.

[7]  Nick Fogt,et al.  The Neurology of Eye Movements, 3rd ed. , 2000 .

[8]  Bruce J. West,et al.  FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE , 1990 .

[9]  H. Collewijn,et al.  Precise recording of human eye movements , 1975, Vision Research.

[10]  F. Takens Detecting strange attractors in turbulence , 1981 .

[11]  H. Schuster Deterministic chaos: An introduction , 1984 .

[12]  G. Legge,et al.  Mr. Chips: an ideal-observer model of reading. , 1997, Psychological review.

[13]  V. Somers,et al.  Heart Rate Variability: , 2003, Journal of cardiovascular electrophysiology.

[14]  J. O'Regan Eye movements and reading. , 1990, Reviews of oculomotor research.

[15]  N. Shimizu [Neurology of eye movements]. , 2000, Rinsho shinkeigaku = Clinical neurology.

[16]  J Röschke,et al.  Strange attractors, chaotic behavior and informational aspects of sleep EEG data. , 1992, Neuropsychobiology.

[17]  E T Schmeisser Fractal analysis of steady-state-flicker visual evoked potentials: feasibility. , 1993, Journal of the Optical Society of America. A, Optics and image science.

[18]  K. Rayner,et al.  Toward a model of eye movement control in reading. , 1998 .

[19]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[20]  James M. McDonough,et al.  Dimension calculations for low flow rate steam injection experiments , 1986 .

[21]  Grebogi,et al.  Plateau onset for correlation dimension: When does it occur? , 1993, Physical review letters.

[22]  A. Babloyantz,et al.  Low-dimensional chaos in an instance of epilepsy. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[23]  P Suppes,et al.  Eye-movement models for arithmetic and reading performance. , 1990, Reviews of oculomotor research.

[24]  Frederick G. Shuman,et al.  NUMERICAL METHODS IN WEATHER PREDICTION: II. SMOOTHING AND FILTERING* , 1957 .

[25]  K. Rayner Eye Guidance in Reading: Fixation Locations within Words , 1979, Perception.

[26]  K. Rayner,et al.  Mindless reading revisited: Eye movements during reading and scanning are different , 1996, Perception & psychophysics.

[27]  G Underwood,et al.  Individual Differences in Reading Subprocesses: Relationships Between Reading Ability, Lexical Access, and Eye Movement Control , 1994, Language and speech.

[28]  K. Coburn,et al.  EEG-based, neural-net predictive classification of Alzheimer's disease versus control subjects is augmented by non-linear EEG measures. , 1994, Electroencephalography and clinical neurophysiology.