Exocentric pointing in the visual field

“Exocentric pointing in the visual field” involves the setting of a pointer so as to visually point to a target, where both pointer and target are objects in the visual field. Phenomenologically, such pointings show systematic deviations from veridicality of several degrees. The errors are very small in the vertical and horizontal directions, but appreciable in oblique directions. The magnitude of the error is largely independent of the distance between pointer and target for stretches in the range 2–27°. A general conclusion is that the visual field cannot be described in terms of one of the classical homogeneous spaces, or, alternatively, that the results from pointing involve mechanisms that come after geometry proper has been established.

[1]  J. H. McFarland,et al.  Perception of orientation: adaptation to lateral body-tilt. , 1966, The American journal of psychology.

[2]  P. Lockhart,et al.  Introduction to Geometry , 1940, The Mathematical Gazette.

[3]  L. Berwald On Finsler and Cartan Geometries. III: Two-Dimensional Finsler Spaces with Rectilinear Extremals , 1941 .

[4]  M. McCourt,et al.  Pseudoneglect: a review and meta-analysis of performance factors in line bisection tasks , 2000, Neuropsychologia.

[5]  R. Hess Developmental sensory impairment: amblyopia or tarachopia? , 1982, Human neurobiology.

[6]  B. Anderson Depth perception , 2008 .

[7]  H. Coxeter,et al.  Introduction to Geometry. , 1961 .

[8]  Ning Qian,et al.  The oblique effect depends on perceived, rather than physical, orientation and direction , 2005, Vision Research.

[9]  Andrea J. van Doorn,et al.  Gauge Fields in Pictorial Space , 2012, SIAM J. Imaging Sci..

[10]  Johan Wagemans,et al.  Measuring 3D point configurations in pictorial space , 2011, i-Perception.

[11]  J. Smythies A Note on the Concept of the Visual Field in Neurology, Psychology, and Visual Neuroscience , 1996, Perception.

[12]  I. Rock,et al.  The perception of the egocentric orientation of a line. , 1954, Journal of experimental psychology.

[13]  B. Stacey,et al.  Judgment of angle size: An experimental appraisal , 1971 .

[14]  Eero P. Simoncelli,et al.  Cardinal rules: Visual orientation perception reflects knowledge of environmental statistics , 2011, Nature Neuroscience.

[15]  I. Rabinovitch,et al.  NON-EUCLIDEAN GEOMETRY. , 1906, Science.

[16]  G. Westheimer,et al.  Orientation dependency for foveal line stimuli: detection and intensity discrimination, resolution, orientation discrimination and Vernier acuity , 1998, Vision Research.

[17]  Paul C Quinn,et al.  Visual Perception of Orientation is Categorical near Vertical and Continuous near Horizontal , 2004, Perception.

[18]  P. Cz. Handbuch der physiologischen Optik , 1896 .

[19]  H. Bouma,et al.  Perceived orientation of isolated line segments. , 1968, Vision research.

[20]  P. Wenderoth,et al.  Angle-Matching Illusions and Perceived Line Orientation , 1979, Perception.

[21]  Ian S. Curthoys,et al.  On the relation between ocular torsion and visual perception of line orientation , 2008, Vision Research.

[22]  H. S. M. Coxeter,et al.  Non-Euclidean Geometry: Fifth Edition , 1965 .

[23]  H. Coxeter,et al.  The Real Projective Plane , 1992 .

[24]  J J Koenderink,et al.  Direct Measurement of the Curvature of Visual Space , 2000, Perception.