DCT versus DWT Chaotic based Color Image Encryption

M. A. Mohamed; M. I. Fath Allah; L. W. Elbon

Research Article

DCT versus DWT Chaotic based Color Image Encryption

by M. A. Mohamed, M. I. Fath Allah, L. W. Elbon

International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Volume 177 - Issue 24

Published: Dec 2019

Authors: M. A. Mohamed, M. I. Fath Allah, L. W. Elbon

10.5120/ijca2019919706

PDF

M. A. Mohamed, M. I. Fath Allah, L. W. Elbon . DCT versus DWT Chaotic based Color Image Encryption. International Journal of Computer Applications. 177, 24 (Dec 2019), 24-41. DOI=10.5120/ijca2019919706

                        @article{ 10.5120/ijca2019919706,
                        author  = { M. A. Mohamed,M. I. Fath Allah,L. W. Elbon },
                        title   = { DCT versus DWT Chaotic based Color Image Encryption },
                        journal = { International Journal of Computer Applications },
                        year    = { 2019 },
                        volume  = { 177 },
                        number  = { 24 },
                        pages   = { 24-41 },
                        doi     = { 10.5120/ijca2019919706 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }

                        %0 Journal Article
                        %D 2019
                        %A M. A. Mohamed
                        %A M. I. Fath Allah
                        %A L. W. Elbon
                        %T DCT versus DWT Chaotic based Color Image Encryption%T 
                        %J International Journal of Computer Applications
                        %V 177
                        %N 24
                        %P 24-41
                        %R 10.5120/ijca2019919706
                        %I Foundation of Computer Science (FCS), NY, USA

Abstract

Over the years, large amount of transferred information has been attacked by hackers; so it has been considerable to make all effort for securing data and encrypting the information. Color images represent a very vital and important type of multimedia; so many encryption techniques have been proposed to protect the color image against different types of attacks. In this paper two proposed techniques will be introduced which have had high robustness against complex composite form of attacks. Discrete Wavelet Transform (DWT) has been applied for image transformation in one method and Discrete Cosine Transform (DCT) has been applied in the other one. Six various chaotic maps have been used with different parameters to introduce the needed encryption keys for the proposed approaches. After many extensive comparisons with other traditional techniques it has been found that the proposed algorithms have given better performance against both friendly and hard forms of complex composite attacks.

References

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Table 2. performance metrics in case DCT technique against Friendly Gaussian attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.1993
0.2412
0.2029
0.1945
0.2784
0.2219
0.7704
0.7911
MSE
4.9858e+03
5.9206e+03
6.2695e+03
6.5290e+03
6.5796e+03
6.5796e+03
15819
15388
PSNR
11.1535
10.4071
10.1585
10.1585
9.9032
9.9488
6.1391
6.2590
R
0.1447
0.0713
0.1392
0.1382
0.0482
0.1196
0.1545
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
16.1221
20.957
23.5832
24.6248
19.8354
24.1143
28.221
29.1083
Entropy of original image
7.0237
7.0237
7.0237
7.0237
7.0237
7.0237
7.2638
7.2331
Table 3. performance metrics in case DWT technique against Friendly Gaussian attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.8500
0.3440
0.3309
0.3470
0.2938
0.3101
0.6259
0.6296
MSE
5.5680e+03
6.4874e+03
6.2872e+03
6.5382e+03
7.8959e+03
6.5768+03
10495
10066
PSNR
10.6738
10.0101
10.1462
9.9762
9.1568
9.9507
7.9209
8.1021
R
0.0564
-0.0407
0.0925
0.1119
0.0990
0.1079
0.4341
0.4601
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
17.4673
21.8000
23.4128
24.5642
16.0536
24.0315
5.6079
5.3108
Entropy of original image
7.0237
7.0237
7.0237
7.0237
7.0237
7.0237
5.9133
5.6448
Table 4. performance metrics in case DCT technique against Friendly Salt & pepper attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.2832
0.2392
0.2735
0.2356
0.2793
0.2328
0.7704
0.7911
MSE
5.0258e+03
5.9488e+03
6.2634e+03
6.5267e+03
7.3485e+03
6.5773e+03
15819
15388
PSNR
11.1188
10.3865
10.1627
9.9839
9.4688
9.9503
6.1391
6.2590
R
0.1489
0.0730
0.1403
0.1383
0.0585
0.1196
0.1545
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
16.3549
21.0561
23.5637
24.6179
20.1300
24.1069
28.221
29.1083
Entropy of original image
7.0237
7.0237
7.0237
7.0237
7.0237
7.0237
7.2638
7.2331
Table 5. performance metrics in case DWT technique against Friendly Salt & pepper attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.3285
0.3110
0.3029
0.3052
0.2761
0.3189
0.6259
0.6296
MSE
5.17134e+03
6.5918e+03
6.270e+03
6.5332e+03
7.8802e+03
6.5726e+03
10495
10066
PSNR
10.5618
9.9408
10.1519
9.9795
9.1654
9.9534
7.9209
8.1021
R
0.0501
-0.0475
0.0918
0.1121
0.1006
0.1081
0.4341
0.4601
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
17.8973
22.1792
23.3656
24.5492
16.0898
24.0194
5.6079
5.3108
Entropy of original image
7.0237
7.0237
7.0237
7.0237
7.0237
7.0237
5.9133
5.6448
Table 6. performance metrics in case DCT technique against Friendly Speckle attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.2657
0.6580
0.2695
0.2580
0.2429
0.2412
0.7704
0.7911
MSE
5.0954e+03
6.0033e+03
6.3019e+03
6.5483e+03
7.3426e+03
6.5925e+03
15819
15388
PSNR
11.0590
10.3469
10.1361
9.9695
9.4723
9.9403
6.1391
6.2590
R
0.1441
0.0743
0.1387
0.1363
0.0596
0.1192
0.1545
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
16.9110
21.4198
23.7124
24.6792
20.3251
24.1535
28.221
29.1083
Entropy of original image
7.0237
7.0237
7.0237
7.0237
7.0237
7.0237
7.2638
7.2331
Table 7 performance metrics in case DWT technique against Friendly Speckle attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.3574
0.2701
0.3522
0.3120
0.2930
0.3049
0.6259
0.6296
MSE
5.747e+043
6.5952e+03
6.3071e+03
6.5553e+03
7.8616e+03
6.5878e+03
10495
10066
PSNR
10.5411
9.9385
10.1325
9.9649
9.1757
9.9437
7.9209
8.1021
R
0.0429
-0.0508
0.0940
0.1120
0.1007
0.1079
0.4341
0.4601
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
18.2553
22.3527
23.5403
24.6183
16.2727
24.0672
5.6079
5.3108
Entropy of original image
7.0237
7.0237
7.0237
7.0237
7.0237
7.0237
5.9133
5.6448
Table 8. performance metrics in case DCT technique against Hard Gaussian attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.3141
0.2958
0.3173
0.3342
0.3111
0.3327
0.7704
0.7911
MSE
4.1465e+03
4.1570e+03
4.1436e+03
4.1516e+03
4.1456e+03
4.1510e+03
15819
15388
PSNR
11.9540
11.9430
11.9571
11.9486
11.9550
11.9493
6.1391
6.2590
R
0.3347
0.3329
0.3349
0.3339
0.3341
0.3340
0.1545
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
10.1729
10.1823
10.1892
10.1798
10.1701
10.1589
28.221
29.1083
Entropy of original image
6.9219
6.9219
6.9219
6.9219
6.9219
6.9219
7.2638
7.2331
Table 9. performance metrics in case DWT technique against Hard Gaussian attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.3564
0.3501
0.3747
0.3387
0.3346
0.3273
0.6259
0.6296
MSE
4.1541e+03
4.1467e+03
4.1489e+03
4.1466e+03
4.1495e+03
4.1436e+03
10495
10066
PSNR
11.9460
11.9537
11.9515
11.9538
11.9509
11.9571
7.9209
8.1021
R
0.3326
0.3347
0.3344
0.3346
0.3341
0.3347
0.4341
0.4601
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
10.1606
10.1613
10.1527
10.1650
10.1648
10.1748
5.6079
5.3108
Entropy of original image
6.9219
6.9219
6.9219
6.9219
6.9219
6.9219
5.9133
5.6448
Table 10. performance metrics in case DCT technique against Hard salt & pepper attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.2994
0.3069
0.4033
0.3149
0.3067
0.2967
0.7704
0.7911
MSE
4.2054e+03
4.2055e+03
4.2062e+03
4.2050e+03
4.2064e+03
4.2054e+03
15819
15388
PSNR
11.8927
11.8926
11.8919
11.8931
11.8917
11.8927
6.1391
6.2590
R
0.3358
0.3357
0.3355
0.3357
0.3356
0.3358
0.1545
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
10.5089
10.5104
10.5078
10.5119
10.5105
10.5052
28.221
29.1083
Entropy of original image
6.9219
6.9219
6.9219
6.9219
6.9219
6.9219
7.2638
7.2331
Table 11. performance metrics in case DWT technique against Hard salt & pepper attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.5476
0.3124
0.3630
0.3653
0.3178
0.3148
0.6259
0.7911
MSE
4.2050e+03
4.2072e+03
4.2069e+03
4.2048e+03
4.2063e+03
4.2068e+03
10495
15388
PSNR
11.8932
11.8908
11.8912
11.8934
11.8918
11.8913
7.9209
6.2590
R
0.3357
0.3354
0.3355
0.3358
0.3356
0.3355
0.4341
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
10.5114
10.5116
10.5072
10.5121
10.5079
10.5099
5.6079
29.1083
Entropy of original image
6.9219
6.9219
6.9219
6.9219
6.9219
6.9219
5.9133
7.2331
Table 12. performance metrics in case DCT technique against Hard Speckle attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.2662
0.2762
0.2803
0.2823
0.2960
0.2812
0.7704
0.7911
MSE
4.2233e+03
4.2152e+03
4.2121e+03
4.2141e+03
4.2171e+03
4.2070e+03
15819
15388
PSNR
11.8743
11.8826
11.8858
11.8837
11.8807
11.8911
6.1391
6.2590
R
0.3326
0.338
0.3334
0.3349
0.3337
0.3351
0.1545
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
10.6046
10.6249
10.6235
10.6057
10.6348
10.6167
28.221
29.1083
Entropy of original image
6.9219
6.9219
6.9219
6.9219
6.9219
6.9219
7.2638
7.2331
Table 13. performance metrics in case DWT technique against Hard Speckle attack for image (1)
Metrics
Chirikov
Chirikovtan
Henon
Ikeda
Logistic
Quadratic
Refrence no.(14) without using filter
Refrence no.(14) with using median filter
Elapsed time
0.2662
0.2762
0.2803
0.2823
0.2960
0.2812
0.6259
0.7911
MSE
4.2233e+03
4.2152e+03
4.2121e+03
4.2141e+03
4.2171e+03
4.2070e+03
10495
15388
PSNR
11.8743
11.8826
11.8858
11.8837
11.8807
11.8911
7.9209
6.2590
R
0.3326
0.338
0.3334
0.3349
0.3337
0.3351
0.4341
0.1846
NPCR
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
5.0863e-04
0.00074
0.00074
UACI
10.6046
10.6249
10.6235
10.6057
10.6348
10.6167
5.6079
29.1083
Entropy of original image
6.9219
6.9219
6.9219
6.9219
6.9219
6.9219
5.9133
7.2331

Index Terms

Computer Science

Information Sciences

No index terms available.

Keywords

Discrete Cosine Transform (DCT) Discrete Wavelet Transform (DWT) Inverse Discrete Cosine Transform (IDCT) Inverse Discrete Wavelet Transform (IDWT) Data Encryption Standard(DES) Data Encryption Standard(TRIPLE DES) Advanced Encryption Standard(AES).