Abstract
This chapter is a survey of a series of joint works of Shinobu Arai and me. The main purpose of our study is to construct mathematical models of visual information processing in the brain, and to give applications to study of visual illusions and image processing. In this chapter I will describe a part of our simulations of some visual illusions, creations of the so-called “fuyuu illusions”, and an application to image processing.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arai H (2010) Wavelets. Kyoritsu Publ, Tokyo (in Japanese)
Arai H (2005) A nonlinear model of visual information processing based on discrete maximal overlap wavelets. Interdiscip Inf Sci 11:177–219
Arai H (2007) Achromatic and chromatic visual information processing and discrete wavelets. In: Frontiers of Computational Sciences (pp 83–89, invited paper): Springer
Arai H (2013) Visual illusions and sciences. Minerva Shobo, Japan (in Japanese)
Arai H, Arai S (2009) 2D tight framelets with orientation selectivity suggested by vision science. JSIAM Lett 1:9–12 (Invited Paper)
Arai H, Arai S (2010) Framelet analysis of some geometrical illusions. Jpn J Ind Appl Math 27:23–46
Arai H, Arai S A patent specification (JP Patent No. 5038547; Intern. Pub. No. WO2012067254), a paper is in preparation
Baumgartner G (1960) Indirekte Größenbestimmung der rezeptiven Felder der Retina beim Menschen mittels der Hermannschen Gittertäuschung. Pflüger’s Archiv für die gesamte Physiologie des Menschen und der Tiere 272:21–22
Daubechies I, Han B, Ron A, Shen Z (2003) Framelets: MRA-based constructions of wavelet frames. Appl Comput Harm Anal 14:1–46
Escalante-Ramírez E, Silván-Cárdenas J (2005) A multiresolution directional-oriented image transform based on gaussian derivatives. Signal Process Image Commun 20:801–812
Spillmann L (1994) The herman grid illusion: a tool for studying human perceptive field organization. Perception 23:691–708
Wolfe JM (1984) Global factors in the hermann grid illusion. Perception 13:33–40
Young RA (1991) Oh say, can you see? The physiology of vision. SPIE 1453:92–123
Baumgartner, G (1960) Indirekte Größenbestimmung der rezeptiven Felder der Retina beim Menschen mittels der Hermannschen Gittertäuschung. Pflüger’s Archiv für die gesamte Physiologie des Menschen und der Tiere 272: 21–22
Young RA (1991) Oh say, can you see? the physiology of vision. SPIE 1453:92–123
Acknowledgments
The author thanks to Professor Anjyo for inviting me to Symposium MEIS2013.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Japan
About this chapter
Cite this chapter
Arai, H. (2014). Mathematical Models of Visual Information Processing in the Human Brain and Applications to Visual Illusions and Image Processing. In: Anjyo, K. (eds) Mathematical Progress in Expressive Image Synthesis I. Mathematics for Industry, vol 4. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55007-5_2
Download citation
DOI: https://doi.org/10.1007/978-4-431-55007-5_2
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55006-8
Online ISBN: 978-4-431-55007-5
eBook Packages: EngineeringEngineering (R0)