The Research on Anti-counterfeiting of Fractal Graphics in Color Printing Based on Escape Time Algorithm of Julia-set - Advanced Research on Computer Education, Simulation and Modeling - page 174

The Research on Anti-counterfeiting of Fractal
Graphics in Color Printing Based on Escape Time
Algorithm of Julia-set
Fucheng You and Yingjie Liu
Information & Mechanical Engineering School, Beijing Institute of Graphic Communication,
Beijing, 102600, China
[e-mail], [e-mail]
Abstract. Fractal graphics based on escape time algorithm of Julia-set are
studied in the paper for the application of anti-counterfeiting in color printing.
Different parameters of Julia-set make anti-counterfeiting space difficult to
search. Therefore anti-counterfeiting in color printing based on Julia-set is
implemented. A novel approach of anti-counterfeiting space based on color and
shape is proposed for anti-counterfeiting in color printing. This approach is
applied to analyze anti-counterfeiting capacity of fractal graphics based on
Julia-set. Firstly, anti-counterfeiting space of RGB color is estimated from fractal
graphics of Julia-set. Anti-counterfeiting space is generated on basis of RGB
color and graph size. Then, anti-counterfeiting space of shape which is generated
by parameters changing enlarges anti-counterfeiting space based on fractal
graphics of Julia-set. Different parameters lead to different shape of fractal
graphics to a great extent. Experimental results demonstrate that higher
anti-counterfeiting capacity of color printing can be achieved with the proposed
approach.
Keywords: Julia-set; escape time algorithm; fractal graphics; anti-counterfeiting
in color printing.
1 Introduction
In recent years, development of anti-counterfeiting technology in color printing
prevents unscrupulous businessmen or individuals to obtain illegal benefits by
counterfeit in legal ways, thereby protect the interests of legitimate businessmen.
However, emergence of color printers and scanners with higher precision makes faking
color printing products appear more and more in many fields. Therefore, more efficient
technologies of anti-counterfeiting in color printing are extremely expected by
legitimate businessmen to protect their benefits. The key point of anti-counterfeiting in
color printing is to design graphics which are difficult to copy and imitate. Fractal
graphics based on escape time algorithm of Julia-set are studied in the paper for the
application of anti-counterfeiting in color printing.
Fractal theory mainly researches the irregular shape and graphics with similarity in
non- linear system [1]. Fractal theory can construct fractal graphics with complicated