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4 Conclusion
An anti-counterfeiting approach based on escape time algorithm of Julia-set is
proposed in the paper for improving anti-counterfeiting capacity in color printing. By
setting different parameters of fractal graphics, anti-counterfeiting space can be
generated, which is large enough and very difficult to search, then anti-counterfeiting in
color printing is implemented. After many experiments with the proposed algorithm,
anti-counterfeiting space generated by RGB color, graph size, shape and adjusting
parameters make imitation more difficult. Fractal graphics based on escape time
algorithm of Julia-set have great anti-counterfeiting space which is very difficult to
search for purpose of imitation.
Therefore, fractal graphics based on escape time algorithm of Julia-set can be applied
in anti-counterfeiting of color printing and can provide higher anti-counterfeiting
capacity for color printing due to great anti-counterfeiting space.
Acknowledgement
This paper is supported by Project for Beijing Municipal Party Committee
Organization Department (No. 10000200118) and the Funding Project for Academic
Human Resources Development in Institutions of Higher Learning under the
Jurisdiction of Beijing Municipality (No. 10000200118 PXM2010_014223_095557
and PHR201108349).
References
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Zhang, L., Liu, H.: Research and Application of Fractal Art in Anti-counterfeiting of Product
Information. Information Technology 1, 111-113 (2007)
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Mei, H.: Application of Fractal Graphics in Packaging Anti-counterfeiting. China brand and
Anti-counterfeiting 1, 60-62 (2008)
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Sun, B.: Fractal Algorithm and Program Design-Visual C++, pp. 105-113. Science Press,
Beijing (2004)
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Spehar, B., Colin, W.G., Ben, R.: Universal aesthetic of fractals. Computers & Graphics (7),
813-820 (2003)
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Xu, S., Li, C.: Research on Algorithms of Generating Fractal Image. Microcomputer
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