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Metric Properties of Visual Perception of Mirror Symmetry

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1126))

Abstract

The work is devoted to an experimental investigation of visual perception of symmetry. Symmetry participates in the mechanism of the evolutionary adaptability of a living organism, providing the form that is optimal for existence. Not only all living beings, but also objects created by their creativity, one way or another, correspond to the laws of symmetry. Functional expediency was transformed into such aesthetic categories as structural proportionality, harmony. The main developments of psychophysical research are carried out in areas in which qualitative characteristics of the perception of symmetry are used, such as emotional reaction, aesthetic experience, imaginative association, and even taste sensations. The goal of this work is an experimental study of the metric properties of perception and reconstruction of elementary symmetries as a manifestation of symmetry models of human intelligence. The experimental research was implemented on a computer in the format of the reconstruction of a partially given symmetry composition. The subject had to finish the composition in accordance with the transformation of the given symmetry. Independent or regulated factors are symmetry elements, symmetry objects and symmetry transformations. The dependent or resulting factors are functions of the regulated factors and reflect the accuracy of the reconstruction of a given symmetry composition. The visual perception of mirror symmetry in a vertical configuration for a “point” object is characterized by statistically significant stable correctness of the average value on the population and the horizontal-vertical anisotropy of errors for individuals; axis symmetry direction is a matter of principle. This work represents the first and necessary stage of research related to the perception of arbitrary forms.

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References

  1. Weil, H.: Symmetry, p. 192c. Nauka, Moscow (1968)

    Google Scholar 

  2. Shubnikov, A.V., Koptsik, V.A.: Symmetry in Science and Art, 560p. Computer Research Institute, Moscow-Ijevsk (2004)

    Google Scholar 

  3. Gregory, R.L.: A reasonable eye, 232 p. Editorial URSS (2003)

    Google Scholar 

  4. Fress, P., Piaget, J.: Experimental Psychology, Issue 4, Progress, Moscow, 344 p. (1978)

    Google Scholar 

  5. Hamada, J., Amano, K., Fukuda, S.T., Uchiumi, C., Fukushi, K., van der Helm, P.A.: A group theoretical model of symmetry cognition. Acta Psychol. 171, 128–137 (2016). https://doi.org/10.1016/j.actpsy.2016.10.002

    Article  Google Scholar 

  6. Treder, M.S.: Behind the looking-glass: a review on human symmetry perception. Symmetry 2, 1510–1543 (2010). https://doi.org/10.3390/sym2031510

    Article  Google Scholar 

  7. Van der Helm, P.A.: Symmetry perception. In: Wagemans, J. (ed.) Oxford Handbook of Perceptual Organization, pp. 108–128. Oxford University Press, Oxford (2015). https://doi.org/10.1093/oxfordhb/9780199686858.013.056

  8. Poirier, F.J.A.M., Wilson, H.R.: A biologically plausible model of human shape symmetry perception. J. Vis. 10, 1–16 (2010)

    Article  Google Scholar 

  9. Artemenkov, S.L., Shukova, G.V., Mironova, K.V.: Visual perception of symmetry as a factor of aesthetic experience. Exp. Psychol. 11(1), 166–177 (2018). https://doi.org/10.17759/exppsy.2018110110

    Article  Google Scholar 

  10. Turoman, N., Spence, Ch.: Cross-modal correspondence between visual symmetry and taste. Perception 45(2), 329 (2016). Suppl, 39th European Conference on Visual Perception (ECVP) 2016 Barcelona

    Google Scholar 

  11. Pecchinenda, A., Bertamini, M., Makin, A.D.J., Ruta, N.: The pleasantness of visual symmetry: always, never or sometimes. PLoS ONE 9(3), e92685 (2014). https://doi.org/10.1371/journal.pone.0092685

    Article  Google Scholar 

  12. Van Tonder, G.J., Lyons, M.J.: Visual perception in Japanese rock garden design. Axiomathes 15, 353–371 (2005). https://doi.org/10.1007/s10516-004-5448-8

    Article  Google Scholar 

  13. Van der Helm, P.A.: Weber-Fechner behavior in symmetry perception? Attention Percept. Psychophysics 72, 1854–1864 (2010)

    Google Scholar 

  14. Zhukova, K.V., Reier, I.A.: Basic skeleton connectivity and a parametric shape descriptor. Mach. Learn. Data Anal. 1(10), 1354–1368 (2014)

    Google Scholar 

  15. Rakcheeva, T.A.: The factor of symmetrization in the identification of forms of curves. In: Seventh Kurdyumov readings. Synergetics in the Natural Sciences: Materials intern. interdisciplinary Scientific Conf. Tver, pp. 156–158 (2011)

    Google Scholar 

  16. Rakcheeva, T.A.: The influence of form on the perception of distance. In: Eighths Anniversary Kurdyumov Readings: Synergetics in the Natural Sciences, Proceedings of the International Interdisciplinary Conference, pp. 117–119 (2012)

    Google Scholar 

  17. Rakcheeva, T.A., Nikolaeva, E.C., et al.: Orthogonal illusion of visual perception. Modern Med. Theory Practice 1, 42–51 (2004)

    Google Scholar 

  18. Rakcheeva, T.A.: Metric invariants of the illusion of intersection. In: Proceedings of the International Conference “Machines, Technologies and Materials for Modern Engineering, dedicated to the 80th Anniversary of IMASH RAS, p. 160 (2018)

    Google Scholar 

  19. Al Walid, M.H., Anisuzzaman, D.M., Saif, A.S.: Data analysis and visualization of continental cancer situation by Twitter scraping. Int. J. Modern Educ. Comput. Sci. (IJMECS) 11(7), 23–31 (2019). https://doi.org/10.5815/ijmecs.2019.07.03

    Article  Google Scholar 

  20. Hamd, M.H., Ahmed, S.K.: Biometric system design for iris recognition using intelligent algorithms. Int. J. Modern Educ. Comput. Sci. (IJMECS) 10(3), 9–16 (2018). https://doi.org/10.5815/ijmecs.2018.03.02

    Article  Google Scholar 

  21. Marouf, A.A., Ashrafi, A.F., Ahmed, T., Emon, T.: A machine learning based approach for mapping personality traits and perceived stress scale of undergraduate students. Int. J. Modern Educ. Comput. Sci. (IJMECS) 11(8), 42–47 (2019). https://doi.org/10.5815/ijmecs.2019.08.05

    Article  Google Scholar 

  22. Isong, B.: A methodology for teaching computer programming: first year students perspective. Int. J. Modern Educ. Comput. Sci. (IJMECS) 6(9), 15–21 (2014)

    Article  Google Scholar 

  23. Dominic, M., Francis, S.: An adaptable e-learning architecture based on learners’ profiling. Int. J. Modern Educ. Comput. Sci. (IJMECS) 7(3), 26–31 (2015)

    Article  Google Scholar 

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Rakcheeva, T. (2020). Metric Properties of Visual Perception of Mirror Symmetry. In: Hu, Z., Petoukhov, S., He, M. (eds) Advances in Artificial Systems for Medicine and Education III. AIMEE 2019. Advances in Intelligent Systems and Computing, vol 1126. Springer, Cham. https://doi.org/10.1007/978-3-030-39162-1_19

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