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From Mathematical Study of Visual Information Processing in the Brain to Image Processing

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Part of the book series: Mathematics for Industry ((MFI,volume 18))

Abstract

In this survey paper we will deal with applications of our study of mathematical models of visual information processing in the brain. In particular, we will show some of our results on sharpening, edge enhancement and extraction of contours of objects in an image.

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References

  1. H. Arai, A nonlinear model of visual information processing based on discrete maximal overlap wavelets. Interdisc. Inf. Sci. 11, 177–219 (2005)

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  2. H. Arai, Mathematical models of visual information processing in the human brain and applications to visual illusions and image processing, in Mathematical Progress in Expressive Image Synthesis I, Mathematics for Industry 4, ed. by K. Anjyo (Springer, Japan, 2014), pp. 7–12

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Acknowledgments

The author thanks to Professors K. Anjyo and H. Ochiai for inviting him to MEIS2014.

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Correspondence to Hitoshi Arai .

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Arai, H. (2015). From Mathematical Study of Visual Information Processing in the Brain to Image Processing. In: Ochiai, H., Anjyo, K. (eds) Mathematical Progress in Expressive Image Synthesis II. Mathematics for Industry, vol 18. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55483-7_9

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  • DOI: https://doi.org/10.1007/978-4-431-55483-7_9

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-55482-0

  • Online ISBN: 978-4-431-55483-7

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