Table 13 Histogram dependency tests for various images.
From: A new multiple image encryption algorithm using hyperchaotic systems, SVD, and modified RC5
Image | Color | \(\beta\) | \(\gamma\) | \(\tau\) | r | \(\rho\) |
|---|---|---|---|---|---|---|
House | Red | \(-0.0793751\) | \(-0.0266021\) | \(-0.0258352\) | \(-0.0384637\) | \(-0.0330798\) |
Green | \(-0.0117881\) | \(-0.0295528\) | \(-0.0292214\) | \(-0.0460022\) | 0.0174038 | |
Blue | 0.0433977 | 0.0433977 | 0.0433977 | 0.026835 | 0.019177 | |
Combined | \(-0.03125\) | \(-0.0759635\) | \(-0.0754802\) | \(-0.113166\) | \(-0.106695\) | |
Peppers | Red | \(-0.0118815\) | 0.0284542 | 0.0278246 | 0.0427044 | 0.0315671 |
Green | \(-0.111579\) | \(-0.0612526\) | \(-0.0605749\) | \(-0.0648959\) | \(-0.0894927\) | |
Blue | \(-0.0395334\) | 0.0339985 | 0.0334615 | 0.0285761 | 0.0483794 | |
Combined | 0.0470592 | 0.0513736 | 0.0510389 | 0.0821866 | 0.0782085 | |
Mandrill | Red | 0.031754 | 0.0266224 | 0.0263311 | 0.0369217 | \(-0.00184149\) |
Green | \(-0.111125\) | \(-0.0285206\) | \(-0.0279967\) | \(-0.0421113\) | \(-0.0398004\) | |
Blue | 0.0478426 | 0.0480658 | 0.047575 | 0.0720131 | 0.0443447 | |
Combined | \(-0.0118824\) | \(-0.012257\) | \(-0.0121945\) | \(-0.0214346\) | \(-0.0257524\) | |
Satellite Image 4 | Red | 0.0635081 | 0.00990099 | 0.00980635 | 0.0340765 | 0.0193151 |
Green | 0.0512849 | 0.029206 | 0.00874576 | 0.026184 | 0.0414366 | |
Blue | 0.0749549 | 0.0113047 | 0.0111972 | 0.009120784 | 0.0169569 | |
Combined | \(-0.0594158\) | \(-0.0193528\) | \(-0.0192502\) | \(-0.0319917\) | \(-0.0269471\) | |
Satellite Image 5 | Red | 0.102369 | 0.0813297 | 0.0799339 | 0.117345 | 0.0992417 |
Green | 0.0485914 | 0.0454316 | 0.044739 | 0.0648395 | 0.0473295 | |
Blue | 0.064008 | 0.0394213 | 0.0388268 | 0.0555381 | 0.0250862 | |
Combined | 0.196863 | 0.09316 | 0.0924558 | 0.138657 | 0.0405305 |
