量子圖像和視頻處理與安全

目 錄
第1章 緒論····································································································.1
1.1 研究目的及意義 ·····················································································1
1.2 量子圖像和視頻基礎 ···············································································2
1.2.1 量子力學相關概念········································································.2
1.2.2 量子計算相關概念········································································.3
1.3 量子圖像和視頻相關概念 ······································································.11
1.3.1 量子圖像和視頻表示····································································.11
1.3.2 量子圖像和視頻處理····································································.20
1.3.3 量子圖像和視頻安全····································································.22
1.4 本書組織結構 ·····················································································.24
第2章 量子圖像和視頻表示···············································································26
2.1 量子圖像表示 ·····················································································.26
2.2 量子彩色圖像表示 QIRHSI·····································································.27
2.2.1 QIRHSI表示 ··············································································.27
2.2.2 QIRHSI的制備 ···········································································.28
2.2.3 改進的QIRHSI（IQIRHSI） ··························································.32
2.3 量子彩色圖像表示 CQIPT······································································.33
2.3.1 CQIPT表示················································································.33
2.3.2 CQIPT的制備·············································································.34
2.4 量子彩色圖像表示 NCQI ·······································································.36
2.4.1 NCQI表示 ·················································································.36
2.4.2 NCQI的制備 ··············································································.36
2.5 量子彩色圖像表示 MCLPQI ···································································.39
2.5.1 MCLPQI表示 ·············································································.39
2.5.2 MCLPQI的制備 ··········································································.40
2.6 量子視頻表示 ·····················································································.42
2.6.1 量子視頻表示框架·······································································.43
2.6.2 量子視頻表示QVNEQR 和 QVNCQI················································.43
2.7 本章小結 ···························································································.43
第3章 量子圖像基本運算··················································································45
3.1 QIRHSI 的算術運算··············································································.45
3.1.1 量子比較器················································································.45
3.1.2 基於強度的求反操作····································································.45
3.1.3 基於強度的取補操作····································································.46
3.1.4 基於強度的加法操作····································································.47
3.1.5 基於強度的減法操作····································································.48
3.1.6 復雜度分析················································································.52
3.1.7 實驗示例···················································································.54
3.2 量子噪聲圖像 ·····················································································.56
3.3 本章小結 ···························································································.58
第4章 量子圖像幾何運算··················································································59
4.1 QIRHSI 的基本幾何變換········································································.59
4.1.1 兩點交換···················································································.59
4.1.2 循環平移···················································································.61
4.1.3 翻折變換···················································································.62
4.1.4 直角旋轉···················································································.66
4.1.5 復雜度分析················································································.68
4.1.6 實驗示例···················································································.68
4.2 IQIRHSI 的尺度縮放·············································································.72
4.2.1 經典圖像縮放的最近鄰插值法························································.73
4.2.2 改進的量子彩色圖像的縮放···························································.74
4.2.3 實驗示例···················································································.77
4.3 本章小結 ···························································································.79
第5章 量子圖像壓縮························································································80
5.1 QIRHSI 的壓縮····················································································.80
5.2 壓縮率分析 ························································································.82
5.3 本章小結 ···························································································.86
第6章 量子圖像水印························································································87
6.1 量子圖像水印數學模型 ·········································································.87
6.1.1 量子圖像水印的嵌入和提取···························································.87
6.1.2 量子圖像水印的優化數學模型························································.88
6.2 基於量子小波變換的量子圖像水印算法 ····················································.90
6.2.1 量子小波變換·············································································.90
6.2.2 水印算法···················································································.92
6.2.3 模擬結果及分析··········································································.93
6.3 本章小結 ···························································································.94
第7章 量子圖像加密························································································95
7.1 相關知識 ···························································································.95
7.1.1 廣義 Logistic 映射 ·······································································.95
7.1.2 量子 Logistic 映射 ·······································································.95
7.2 QIRHSI 加密框架·················································································.96
7.3 QIRHSI 的加密和解密···········································································.97
7.3.1 加密方案···················································································.97
7.3.2 解密方案·················································································.103
7.4 模擬結果及分析 ················································································.104
7.4.1 統計和差分分析········································································.105
7.4.2 密鑰敏感性分析··········································································111
7.4.3 密鑰空間分析·············································································111
7.4.4 魯棒性分析··············································································.112
7.4.5 復雜度分析··············································································.112
7.5 本章小結 ···························································································113
第8章 量子圖像秘密分享···············································································.114
8.1 量子圖像秘密分享的概念 ······································································114
8.1.1 經典圖像秘密分享·····································································.114
8.1.2 量子秘密分享···········································································.115
8.1.3 量子圖像秘密分享概念的延伸探討················································.115
8.2 FRQI 的秘密分享·················································································116
8.2.1 分享方案·················································································.116
8.2.2 恢復方案·················································································.120
8.3 MCQI 的秘密分享··············································································.123
8.3.1 分享方案·················································································.124
8.3.2 恢復方案·················································································.125
8.4 模擬結果及分析 ················································································.127
8.4.1 模擬結果·················································································.127
8.4.2 性能分析·················································································.127
8.5 本章小結 ·························································································.127
第9章 量子視頻加密·····················································································.129
9.1 改進的 Logistic 映射 ···········································································.129
9.2 量子視頻置亂 ···················································································.130
9.2.1 幀間位置置亂···········································································.130
9.2.2 幀內像素位置置亂·····································································.131
9.3 量子視頻異或（XOR） ·······································································.131
9.4 量子視頻的加密和解密 ·······································································.133
9.4.1 加密方案·················································································.133
9.4.2 解密方案·················································································.135
9.5 模擬結果及分析 ················································································.135
9.5.1 量子視頻加密展示·····································································.136
9.5.2 安全性分析··············································································.137
9.5.3 統計分析·················································································.138
9.5.4 密鑰空間分析···········································································.142
9.5.5 復雜度和實時性分析··································································.143
9.5.6 壓縮率分析··············································································.143
9.6 本章小結 ·························································································.143
第10章 量子視頻隱寫 ···················································································.144
10.1 QVNEQR 的幀運動檢測·····································································.144
10.2 最低有效量子比特位（LSQb）····························································.146
10.3 隱寫算法························································································.147
10.3.1 QVNEQR 的受控比較器····························································.147
10.3.2 QVNEQR 的最低有效位隱寫······················································.149
10.4 基於運動矢量的 QVNEQR 隱寫···························································.151
10.5 模擬結果························································································.152
10.6 本章小結························································································.152
第11章 量子算法程序設計 ·············································································.153
11.1 MATLAB 模擬·················································································.153
11.1.1 FRQI 的 MATLAB 模擬·····························································.153
11.1.2 NEQR 的 MATLAB 模擬····························································.154
11.1.3 QIRHSI 的 MATLAB 模擬··························································.155
11.1.4 CQIPT 的 MATLAB 模擬 ···························································.157
11.1.5 量子小波變換的 MATLAB 模擬 ··················································.158
11.2 量子圖像壓縮的模擬·········································································.159
11.3 本章小結 ························································································.167
附錄 ············································································································.168
附錄 A Hilbert 空間 ·················································································.168
附錄 B Fourier 變換·················································································.170
B.1 連續 Fourier 變換 ········································································.170
B.2 離散 Fourier 變換 ········································································.170
B.3 量子 Fourier 變換 ········································································.171
附錄 C 圖像顏色空間 ··············································································.171
C.1 彩色基礎···················································································.172
C.2 RGB 模型··················································································.174
C.3 HSI 模型 ···················································································.175
C.4 模型轉化···················································································.175
參考文獻 ······································································································.177