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Extension 2D to 3D of FAN Transform in Image

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Communication Systems and Information Technology

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 100))

Abstract

FAN Transform-set was introduced in paper[1], however, Arnold transform only becomes a special case, the encrypted ability was enhanced since the types of transform was expanded. The factor in FAN Transform is generally significant increase than that is in Arnold, so FAN Transform has a better effect which reduces the computation load. On the basis of paper [1], we extended FAN Transform from 2D to 3D, even to ND. The extension not only complements the theory of FAN Transform, but also extends the application of FAN Transform. In the digital watermarking technology, we adopt FAN Transform to Scrambling the image, since the type of transformation is infinite, we can choose one type to scramble at will, this will enhance the ability of encryption, improve the security. This paper mainly explains the principles of multi-dimensional FAN, and tested the practicability of multi-dimensional FAN by computer.

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References

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© 2011 Springer-Verlag Berlin Heidelberg

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Jing, F., Ying, X., Honglian, L. (2011). Extension 2D to 3D of FAN Transform in Image. In: Ma, M. (eds) Communication Systems and Information Technology. Lecture Notes in Electrical Engineering, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21762-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-21762-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21761-6

  • Online ISBN: 978-3-642-21762-3

  • eBook Packages: EngineeringEngineering (R0)

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