Table 8 Image direction analysis with R, G, B correlations for original and encrypted states.

From: An image encryption scheme using 4-D chaotic system and cellular automaton

Image

Direction

R_Original

R_Encrypted

G_Original

G_Encrypted

B_Original

B_Encrypted

Lena

Horizontal

0.94476

0.0014171

0.92038

− 0.0066175

0.87456

0.0059247

Lena

Vertical

0.97035

− 0.00085449

0.95528

0.0015789

0.91262

− 0.012821

Lena

Diagonal

0.92183

0.0010623

0.8994

0.0033688

0.85475

0.0005342

Baboon

Horizontal

0.92306

− 0.0017275

0.86548

− 0.0066308

0.90734

0.00096863

Baboon

vertical

0.86596

− 0.0072012

0.76501

0.0032147

0.88089

0.0036362

Baboon

Diagonal

0.85434

0.0028782

0.73479

− 0.0069473

0.83985

0.00078567

Peppers

Horizontal

0.94221

− 0.0073098

0.95641

− 0.0044152

0.93428

0.0046159

Peppers

Vertical

0.94650

0.0014081

0.95961

0.0047943

0.93806

− 0.0079889

Peppers

Diagonal

0.90879

− 0.0030486

0.92545

0.00010091

0.8959

− 0.0075955

Tree

Horizontal

0.95898

− 0.0082545

0.96868

0.003328

0.96122

0.0094032

Tree

Vertical

0.93606

0.0032045

0.94573

− 0.004682

0.94055

0.00022074

Tree

Diagonal

0.91589

− 0.0019451

0.93175

− 0.0001177

0.92649

0.0079244

House

Horizontal

0.96707

− 0.00071078

0.98052

− 0.00036168

0.98197

0.0045774

House

Vertical

0.93524

− 0.0066258

0.94735

0.0083242

0.97493

− 0.004348

House

Diagonal

0.91263

0.027834

0.93196

0.00084012

0.96251

− 0.0020422

Beans

Horizontal

0.97341

0.000020

0.97075

0.020792

0.97784

− 0.0013507

Beans

Vertical

0.97404

− 0.007921

0.97406

− 0.015595

0.97931

0.0021208

Beans

Diagonal

0.94775

0.010666

0.94698

− 0.020829

0.95827

0.00073674

F16

Horizontal

0.97263

0.0030749

0.95778

0.00019171

0.96397

0.025358

F16

Vertical

0.95681

− 0.0065809

0.96775

− 0.0059401

0.93532

0.012068

F16

Diagonal

0.93433

0.0048622

0.93259

0.0061373

0.91458

0.019773

Girl

Horizontal

0.97788

0.00401

0.9748

− 0.0095197

0.97261

0.012998

Girl

Vertical

0.92938

0.013113

0.91057

0.00036542

0.91297

0.012187

Girl

Diagonal

0.91294

0.0091678

0.89408

0.0037052

0.89579

0.030707