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The Impact of the theoretical properties of the Logistic Function on the generation of optically detectable watermarks

Mooney, Aidan and Keating, John (2004) The Impact of the theoretical properties of the Logistic Function on the generation of optically detectable watermarks. Proceedings of SPIE, Technology for Optical Countermeasures, Optics/Photonics in Security and Defence,, 5615.

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Abstract

A digital watermark is a visible, or preferably invisible, identification code that is permanently embedded in digital media, to prove owner authentication and provide protection for security or defence documents.In this paper, we present an approach for the generation of watermarks using a logistic chaotic function. Using this function in conjunction with seed management, it is possible to generate chaotic sequences that may be used to create highpass or lowpass digital watermarks. A slight change in the initial conditions will quickly lead to a significant change in the subsequent states of the system, and thus will generate substantially different watermarks. This technique has been shown to offer an added security advantage over the more traditionally generated watermarks created from pseudorandom sequences, in that only the function seed needs to be stored. We have previously presented a study where an optical correlator was suitable for the detection of chaotically generated watermarks.We have also studied the impact of shot noise present in an optical detector for watermarks generated using the logistic function. The logistic function presented in this paper is ill-defined for certained seed values and has not been fully investigated for the purpose of watermark generation. We consider the impact of the theoretical properties of the logistic function on watermark generation and their highpass and lowpass properties, which when embedded in digital media, are suitable for optical detection.

Item Type: Article
Additional Information: Copyright 2004 Society of Photo-Optical Instrumentation Engineers. This paper was published in Proceedings of SPIE, Technology for Optical Countermeasures, Optics/Photonics in Security and Defence and is made available as an electronic reprint with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
Keywords: Digital Watermarking: Logistic Difference Equation: Optical Correlation:
Subjects: Science & Engineering > Computer Science
Item ID: 737
Depositing User: Aidan Mooney
Date Deposited: 17 Oct 2007
Journal or Publication Title: Proceedings of SPIE, Technology for Optical Countermeasures, Optics/Photonics in Security and Defence,
Publisher: Spie
Refereed: Yes
URI:

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