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Advances, Systems and Applications

Table 1 The ridgelet-DCT coefficients under different attacks

From: A robust encryption watermarking algorithm for medical images based on ridgelet-DCT and THM double chaos

Image Processing

PSNR (dB)

O (1,1)

O (1,2)

O (1,3)

O (1,4)

O (1,5)

O (1,6)

O (1,7)

O (1,8)

O (1,9)

O (1,10)

Sequence of

Coefficient Signs

NC

The brain image

\

3.9960

0.4723

0.0000

0.000

0.0055

-3.8745

-0.5619

-0.0064

-0.217

0.0000

1100100000

1

Gaussian noise attack with 1%

12.36

4.9354

0.4014

0.0000

0.0000

0.0023

-4.1378

-0.4790

-0.0042

-0.1832

0.0000

1100100000

1

JPEG compression attack with 4%

17.61

4.0269

0.5057

0.0000

0.0000

0.0025

-3.9131

-0.6088

-0.0063

-0.2324

0.0000

1100100000

1

Median filter attack with [3 × 3] and 10 times

21.85

3.6915

0.4240

0.0000

0.0000

0.0162

-3.6004

-0.5122

-0.0041

-0.1952

0.0000

1100100000

1

Rotation attack with clockwise 5◦

12.38

3.9962

0.4678

0.0000

0.0000

0.0481

-3.8752

-0.5556

-0.0514

-0.2154

0.0000

1100100000

1

Translation attack with left 5%

11.75

3.9960

0.4743

0.0000

0.0000

0.3200

-3.8427

-0.5595

0.0520

-0.2186

0.0000

1100100100

0.99

Translation attack with down 7%

12.59

3.9514

0.7080

0.0000

0.0000

0.0025

-3.7529

-0.8425

-0.0069

-0.3255

0.0000

1100100000

1

Scaling attack with 95%

\

4.1322

0.4069

0.0000

0.0000

0.0252

-0.4489

-3.7705

-0.0049

-0.1870

0.0000

1100100000

1

Cropping attack with Y direction 10%

\

3.8646

0.6490

0.0000

0.0000

0.0054

-0.7432

-3.6219

-0.0032

-0.3026

0.0000

1100100000

1