Framelet analysis of some geometrical illusions

Open Access
Original Paper Area 1

DOI: 10.1007/s13160-010-0009-6

Cite this article as:
Arai, H. & Arai, S. Japan J. Indust. Appl. Math. (2010) 27: 23. doi:10.1007/s13160-010-0009-6


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.


Geometrical illusion Wavelet frame Framelet Extrastriate visual cortex 

Mathematics Subject Classification (2000)

92C99 98A08 68U10 

Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Graduate School of Mathematical SciencesUniversity of TokyoTokyoJapan
  2. 2.TokyoJapan

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