Framelet analysis of some geometrical illusions


In this paper we study a spiral illusion generated by fractal islands. Furthermore, by a neuro-scientific consideration we present a new class of geometrical illusions. In order to analyse these illusions, we propose a new mathematical method.


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Corresponding author

Correspondence to Hitoshi Arai.

Additional information

H. Arai was supported partly by Precursory Research for Embryonic Science and Technology, Japan Science and Technology Agency, and by Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science.

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Arai, H., Arai, S. Framelet analysis of some geometrical illusions. Japan J. Indust. Appl. Math. 27, 23–46 (2010).

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  • Geometrical illusion
  • Wavelet frame
  • Framelet
  • Extrastriate visual cortex

Mathematics Subject Classification (2000)

  • 92C99
  • 98A08
  • 68U10