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DANH MC CC HNH V, TH

Hnh 1.1: M hnh giu thng tin trong nh ....................................................trang 4

Hnh 1.2: Phn loi watermarking .......................................................................... 9

Hnh 1.3: Phn loi cc thut ton watermarking da trn min bin i dng cho

qu trnh nhng watermarking...............................................................10

Hnh 1.4: Phn loi thut ton watermarking da vo ng dng ca watermarking11

Hnh 2.1: M hnh giu d liu dng tng qut......................................................15

Hnh 2.2: M hnh tng qut giai on nhng d liu ............................................17

Hnh 2.3: M hnh phn phi nh watermarked .....................................................18

Hnh 2.4: M hnh trch nh watermarked .............................................................19

Hnh 2.5: M hnh giai on pht hin watermark .................................................20

Hnh 2.6: M t nhy tng phn .....................................................................23

Hnh 2.7: M t hm mt chi. .........................................................................24

Hnh 2.8: Hiu ng Mach band..............................................................................24

Hnh 3.1: Bin i Fourier.....................................................................................33

Hnh 3.2: Bin i Fourier thi gian ngn.............................................................35

Hnh 3.3: Bin i Wavelet ...................................................................................38

Hnh 3.4: M t cc min bin i ca tn hiu .....................................................38

Hnh 3.5: Sng sin v wavelet ..............................................................................39

Hnh 3.6: Cc thnh phn sng sin vi cc tn s khc nhau .................................40

Hnh 3.7: Cc thnh phn wavelet tng ng vi cc t l v v tr khc nhau........41

Hnh 3.8: Bin i wavelet ri rc ca tn hiu ......................................................44

Hnh 3.9: Qu trnh phn tch tn hiu dng bin i DWT mt chiu ..................44

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Hnh 3.10: Minh ho DWT hai chiu cho nh.......................................................45

Hnh 3.11: Phn tch tn hiu a mc....................................................................46

Hnh 3.12: Minh ho DWT kiu dyadic mc 3 ....................................................46

Hnh 3.13: Qu trnh phn tch v tng hp a mc dng DWT ............................47

Hnh 3.14: B lc hai knh cho dy m ha v gii m mt chiu .........................48

Hnh 3.15: Hm (t)ca bin i Haar ..................................................................50

Hnh 3.16: Hm (t) ca h bin i Daubechies n vi n=2, 3, 4, 5.......................51

Hnh 3.17: Mt vi hm (t)ca cc cp h bin i Biorthogonal........................52

Hnh 3.18: Hm (t) ca h bin i Coiflets ........................................................52

Hnh 3.19: Mt vo hm (t) ca h bin i Symlets...........................................53

Hnh 3.20: Hm (t )ca bin i Morlet..............................................................53

Hnh 3.21: Hm (t )ca bin i Mexican Hat ....................................................54

Hnh 3.22: Hm (t ) ca bin i Meyer.............................................................54

Hnh 4.1: Khi 8x8 nh rng cy...........................................................................57

Hnh 4.2: S khi qu trnh to watermark .......................................................59

Hnh 4.3: S watermarking tng qut dng Wavelet.........................................61

Hnh 4.4: Kt qu phn tch DWT nh ..................................................................63

Hnh 4.5: S thc hin nhng watermark..........................................................66

Hnh 4.6: S thc hin trch watermark ............................................................67

Hnh 4.7: S m tnh watermarked trong thc t ...........................................68

Hnh 5.1: Cc tn cng ln nh watermarked.........................................................70

Hnh 5.2: Phn loi tn cng v ..........................................................................72

Hnh 6.1: Lu gii thut qu trnh nhng watermark.........................................76

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Hnh 6.2: Lu gii thut qu trnh trch watermark ...........................................77

Hnh 6.3: Lu gii thut phn tch wavelet 1D a mc .....................................78

Hnh 6.4: Lu gii thut khi phc wavelet 1D a mc ....................................78

Hnh 6.5: Lu gii thut phn tch wavelet 2D a mc .....................................79

Hnh 6.6: Lu gii thut khi phc wavelet 2D a mc ....................................80

Hnh 7.1: Giao din mphng watermarking nh s dng wavelets ......................84

Hnh 7.2: Qu trnh nhng nh copyright vo trong nh gc Lena. ........................85

Hnh 7.3: PSNR, Correlation ca nh nhng vi cc bng tn khc nhau.............92

Hnh 7.4: PSNR, Correlation nh nhng tng ng vi cc hm wavelets khc

nhau: Haar, db1, db2, db3, sym2, bior1.1, bior1.3 ..................................94