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 178

Set the real part p and the image part q of initial C of Julia-set as double type
during programming. The precision of double data is 15 bits. Thereby the size of search
space for one random color in fractal graphics is

15 15

. If random RGB color is

10 × 10

unknown, then the anti-counterfeiting space can be enlarged to

10 .
Difference can be generated in fractal graphics of Julia-set when adjusting the real
and image parts of initial C of Julia-set a little, as shown in Fig. 2. The difference is
marked by white rectangles in Fig. 2. It can be seen that the width of texture in white
rectangle is different.

30

× 10

30

× 10

30

× 2

24

× M × N

D

S

T

E

S T

Fig. 2. Fractal graphics of Julia-set with different real and image parts of initial C