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 177

(a)

(b)

Fig. 1. Fractal graphics of Julia-set with same shape and random colors

Anti-counterfeiting space of RGB color is also related with the size of fractal
graphics. Let denote the size of fractal graphics. Then anti-counterfeiting space

of fractal graphics is shown in (6). For so great anti-counterfeiting space, it is very
difficult to search when imitator do not know the random color. Thereby, it is
impossible to imitate the fractal graphics with same colors.

M × N

(6)

24

S = 256 × 256 × 256 × M × N = 2 × M × N

3.2 Anti-counterfeiting Space of Shape

Due to the dimension of fractal graphics is fractional type, it is great changing in shape
and texture of fractal graphics based on escape time algorithm of Julia-set, when
adjusting the real and image parts of initial C of Julia-set. Make this advantage applied
in anti-counterfeiting of color printing can achieve higher anti-counterfeiting capacity.