Acta Physica Sinica, Volume. 69, Issue 4, 040502-1(2020)
.
Fig. 3. Time series diagram: (a)
time series; (b)
time series; (c)
time series; (d)
time series; (e)
time series
Fig. 4. Three-dimensional phase diagram: (a)
Three-dimensional map; (b)
Three-dimensional map; (c)
Three-dimensional map; (d)
Three-dimensional map; (e)
Three-dimensional map; (f)
Three-dimensional map; (g)
Three-dimensional map; (h)
Three-dimensional map; (i)
Three-dimensional map; (j)
Three-dimensional map.
Fig. 5. Two-dimensional plane phase diagram: (a)
flat; (b)
flat; (c)
flat; (d)
flat; (e)
flat; (f)
flat; (g)
flat.
Fig. 6. Digital image encryption and decryption experiment: (a) Original Lena image; (b) encrypted Lena image; (c) decrypted Lena image; (d) original baboon image; (e) encrypted baboon image; (f) decrypted baboon image; (g) original boat image.; (h) encrypted boat image; (i)decrypted boat image.
Fig. 7. Histogram of plaintext and ciphertext images (a) Plaintext Lena image histogram; (b) ciphertext Lena image histogram; (c) plaintext baboon image histogram; (d) ciphertext baboon image histogram; (e) plaintext boat image histogram; (f) ciphertext boat image histogram.
Fig. 8. Key sensitivity tests: (a) Plain-image; (b) cipher
with key
; (c) cipher
with key
; (d) right decrypted
; (e) decrypted
with
; (f) decrypted
with
.
Fig. 9. Correlation analysis chart in three directions before and after baboon image encryption: (a), (b) Diagonally adjacent; (c), (d) horizontally adjacent; (e), (f) vertically adjacent.
Fig. 10. Anti-shear attack capability analysis chart: (a) Ciphertext before cutting; (b) ciphertext after cutting; (c) decrypted image before cutting; (d) decrypted image after cutting.
Fig. 11. Anti-noise attack capability analysis chart: (a) Ciphertext before adding noise; (b) ciphertext after adding noise; (c) decrypted image before adding noise; (d) decrypted image after adding noise.
Table 1.
Information entropy analysis table of plain text and encrypted image.
明文图像与加密图像的信息熵分析表
View tableView in ArticleTable 1.
Information entropy analysis table of plain text and encrypted image.
明文图像与加密图像的信息熵分析表
图像 Lena图像 Baboon图像 Boat图像 原图像 7.4644 7.3713 7.1267 密文图像 7.9994 7.9994 7.9993 文献[ 11 ]7.9992 7.9993 — 文献[ 12 ]7.9994 7.9993 — 文献[ 13 ]7.9971 — 7.9993 文献[ 14 ]7.9960 — — 文献[ 15 ]7.9993 7.9993 — 文献[ 16 ]7.9993 7.9992 — 文献[ 17 ]7.9974 — —
Table 2.
Encrypted image fixed point ratio analysis table.
加密图像不动点比分析表
View tableView in ArticleTable 2.
Encrypted image fixed point ratio analysis table.
加密图像不动点比分析表
图像 总像素数 不动点数 不动点比 Lena图像 262144 1015 0.39% Baboon图像 262144 1014 0.39% Boat图像 262144 999 0.38%
Table 3.
Grayscale average change value analysis table.
灰度平均变化值分析表
View tableView in ArticleTable 3.
Grayscale average change value analysis table.
灰度平均变化值分析表
图像 Lena图像 Baboon图像 Boat图像 灰度平均变化值 73.1937 70.8589 74.8383
Table 4.
Key sensitivity test result table.
密钥敏感性测试结果表
View tableView in ArticleTable 4.
Key sensitivity test result table.
密钥敏感性测试结果表
图像 lena图像 baboon图像 boat图像 指标 NPCR UACI NPCR UACI NPCR UACI 本文算法 0.9964 0.3340 0.9962 0.3346 0.9958 0.3344 文献[ 13 ]0.9962 0.3347 — — 0.9960 0.3340 文献[ 14 ]0.9957 0.3508 — — — — 文献[ 15 ]0.9961 0.3347 0.9961 0.3347 — — 文献[ 16 ]0.9962 0.3344 0.9961 0.3349 — —
Table 5.
Plaintext image and ciphertext image correlation coefficient test result table.
明文图像与密文图像相关系数测试结果表
View tableView in ArticleTable 5.
Plaintext image and ciphertext image correlation coefficient test result table.
明文图像与密文图像相关系数测试结果表
图像 水平方向相关系数 垂直方向相关系数 对角线方向相关系数 明文图像 密文图像 明文图像 密文图像 明文图像 密文图像 Lena 0.9762 –0.0084 0.9659 0.0461 0.9468 0.0131 Baboon 0.7204 –0.0050 0.8264 –0.0074 0.7046 –0.0322 boat 0.9621 0.0106 0.8252 0.0087 0.8327 –0.0423
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Zhi-Ben Zhuang, Jun Li, Jing-Yi Liu, Shi-Qiang Chen.
Category:
Received: Sep. 5, 2019
Accepted: --
Published Online: Nov. 17, 2020
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