1, 2, 3, Many - Perceptual Integration of Motif Repetitions

It is generally assumed that the initial integration of visual information is limited in its spatial extent. Of particular interest is the extent to which image symmetries are detected and integrated. Here we studied the spatial extent of visual integration in textures constructed from wallpaper symmetry groups. Using tools from statistical physics, we obtained images ranging from symmetric ones to completely random ones, whereas the textural elements were of the same quality. Results show that the psychometric curves for 3 × 3 motif repetitions are similar to those of images having more repetitions, whereas an equivalent physical scaling of the images does not alter the performance.

[1]  M. Kubovy The perceptual organization of dot lattices , 1994, Psychonomic bulletin & review.

[2]  C. Tyler,et al.  Visual echoes: The perception of repetition in quasi-random patterns , 1977, Vision Research.

[3]  Eero P. Simoncelli,et al.  A Parametric Texture Model Based on Joint Statistics of Complex Wavelet Coefficients , 2000, International Journal of Computer Vision.

[4]  D. Hubel,et al.  Receptive fields, binocular interaction and functional architecture in the cat's visual cortex , 1962, The Journal of physiology.

[5]  B Julesz,et al.  Inability of Humans to Discriminate between Visual Textures That Agree in Second-Order Statistics—Revisited , 1973, Perception.

[6]  Eero P. Simoncelli,et al.  A functional and perceptual signature of the second visual area in primates , 2013, Nature Neuroscience.

[7]  Shimon Ullman,et al.  Atoms of recognition in human and computer vision , 2016, Proceedings of the National Academy of Sciences.

[8]  Mikhail Katkov,et al.  Visual perception of order-disorder transition , 2015, Front. Psychol..

[9]  S. Brush History of the Lenz-Ising Model , 1967 .

[10]  L. Landau,et al.  The Theory of Phase Transitions , 1936, Nature.

[11]  B. Julesz TEXTURE AND VISUAL PERCEPTION. , 1965, Scientific American.

[12]  D. Hubel,et al.  Receptive fields of optic nerve fibres in the spider monkey , 1960, The Journal of physiology.

[13]  C W Tyler,et al.  Phase discrimination of compound gratings: generalized autocorrelation analysis. , 1986, Journal of the Optical Society of America. A, Optics and image science.

[14]  Benoit Cottereau,et al.  Dynamics of perceptual decisions about symmetry in visual cortex , 2018, NeuroImage.

[15]  D. Schattschneider The Plane Symmetry Groups: Their Recognition and Notation , 1978 .

[16]  A. Norcia,et al.  Representation of Maximally Regular Textures in Human Visual Cortex , 2016, The Journal of Neuroscience.

[17]  Béla Julesz,et al.  Visual Pattern Discrimination , 1962, IRE Trans. Inf. Theory.

[18]  B. Julesz,et al.  On perceptual analyzers underlying visual texture discrimination: Part II , 1978, Biological Cybernetics.

[19]  S. Palmer,et al.  A century of Gestalt psychology in visual perception: I. Perceptual grouping and figure-ground organization. , 2012, Psychological bulletin.