CVIM2010Nov.pdf

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24 I = A( I + N s + N DC + N ) R I( ( N S I A( N S ( N DC ( N R ( I = f A( I + N s + N DC + N ) R ( ) + N Q Glenn E. Healey and Raghava Kondepudy, Radiometric CCD Camera Calibration and Noise Estimation, PAMI, Vol. 16, No. 3, pp ,

25 I = A( I + N s + N DC + N ) R I = AtP + AtE( N ) DC " 2 = A 2 tp + A 2 2 t" DC + A 2 " R 2 " 2 = s I + t 76 25

26 ^7&/*A6"fG6%g7/hfH#I3%//"' 26

27 HAW HAW 27

28 HAW " 2 = s I + t I R I B " p I % R $ ' = p ( I # & )p " K % ( $ # I ' di, K = I R & I B f(x) = 1/x I B 28

29 _IIGd _IJKLd IIG IJKL 29

30 <. =. >. Y. Z. [. U. X5G \.

31 " 2 I ( i) = $ 2 w j " O ( ) j#n i ( j) # # # # " " " # # " # # " # # "##$%&'( " # "##$%&'* Jun Takamatsu, Yasuyuki Matsushita, Tsukasa Ogasawara and Katsushi Ikeuchi, Estimating demosaicing algorithms using image noise variance, CVPR,

32 O = f ( I) ( ) = p( I) f '( I) p O " 2 O # f '( I) ( ) 2 " I 2 $ p( I I )di " 2 O = ( I # µ ) 2 O Jun Takamatsu, Yasuyuki Matsushita and Katsushi Ikeuchi, Estimating radiometric response functions from image noise variance, ECCV,

33 X5G [a i,b i ) "i # Z " O 2 = " I 2 + q2 12 q 1 " 2 Q = * x 2 q dx = 1 2 q ) q 2 # % $ x 3 3 & ( ' q 2 ) q 2 = q

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38 ^7&/*A6"fG6%g7/hfH#I3%//"' <RR 38

39 ( ) = A( K p ( ) + N ( s p) + N ( DC p) + N ) R + N Q I p ( ) I p " N 2 p ( ( )) +" 2 C ( ) # A 2 I + E N ( DC p) " N 2 p ( ( ( ))) µ = A I + E N DC p ( ) " C 2 kx " C 2 = A 2 " R 2 + q2 12 Glenn E. Healey and Raghava Kondepudy, Radiometric CCD Camera Calibration and Noise Estimation, PAMI, Vol. 16, No. 3, pp ,

40 ( ) = A N ( DC p) + N R I p ( ) + N Q ( ) = AE( N ( DC p) ) E I( p) E I ( i p) ( ) = A K p ( ( ) I ( p ) + E( N ( i DC p) )) ( ) E N ( DC p) 40

41 P&+7/G>LlLK\RR <5ZR C96%1b3#Y 97/m"6*#C"0*3\ \2&* " # X R.RUe R.R<Y R.RRee n 9= R.=> R.R>< R.<\ # # # " " # # # " " # # # # "## " "## 41

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45 T7*%'N%6&%87/ ]&"/"6?&'*"6 ]%m"'"*t36"-37'c&/g P7/#'79%'_Po#$"%/-VOE%$0'" VWJ>Gd A. Buades, B. Coll, and J. M. Morel, A review of image denoising algorithms, with a new one, Multiscale Modeling and Simulation, Vol. 4, No. 2, pp ,

46 46

47 P7/o79%' Kostadin Dabov, Alessandro Foi, Vladimir Katkovnik, and Karen Egiazarian, Image Denoising by Sparse 3D Transform-domain Collaborative Filtering, IEEE Trans on Image Processing, Vol. 16, No. pp ,

48 G6%g7/hfH#I3%//"'VWJ>G 6 x

49 Ce Liu, William T. Freeman, Richard Szeliski and Sing Bing Kang, Noise Estimation from a Single Image, CVPR,

50 50

51 I = At( P + E( N )) DC k ( ) = At 1 P + E( N ) DC g O 1 g O 2 ( ) ( ) ( ) = At 2 P + E( N ) DC ( ) ( ) = t 1 g O 1 g O 2 t 2 51

52 f ( I) = I " f ( I) = "I # + $ f ( I) = I P I, { " i } f ( I) = w i I i " i=1 ^6&76M^IX ( ),P I, " i ( { }) = " i I i # i=0 52

53 N&g/"p/g K089%'C"/-&*f " 1 % Optical density = log 10 $ ' # Light Transmission& 1 Light Transmission = pow(10, Optical density) 53

54 FGH =R<R << =e STIe(YR HDR " 2 = A 2 tp + A 2 2 t" DC + A 2 " R 2 +" Q 2 I = At( P + E( N DC )) Samuel W. Hasinoff, Fredo Durand and William T. Freeman, Noise-Optimal Capture for High Dynamic Range Photography, CVPR, t 2 P 2 SNR 2 = 2 tp + t" DC +" 2 R + 1 A " 2 2 Q 54

55 Li Zhang, Alok Deshpande and Xin Chen, Denoising vs. Deblurring: HDR Imaging Techniques Using Moving Camera, CVPR,

56 $ %$ $% 56

57 V n = 4kTR"f k( "f( af@c T( R( 57

58 HX] " 2 = A 2 tp + A 2 2 t" DC + A 2 " R 2 X5G i 58

59 Yasuyuki Matsushita and Stephen Lin, Radiometric Calibration from Noise Distributions, CVPR,

60 Noise variance# Imaging process# Output# Response f Noise variance# Observation# Input# Radiometric Calibration# Inverse response g Noise variance# Input Input# Output# Output# Input# Jun Takamatsu, Yasuyuki Matsushita and Katsushi Ikeuchi, Estimating radiometric response functions from image noise variance, ECCV, 2008

61 I?X I?X Jun Takamatsu, Yasuyuki Matsushita, Tsukasa Ogasawara and Katsushi Ikeuchi, Estimating demosaicing algorithms using image noise variance, CVPR,

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64 IH? ( ) R xx R x 2 = R xy R x R y ( ) = R yy R = f '' f "1 R 2 y f '( f "1 ( R) ) 2 Yu-Feng Hsu and Shih-Fu Chang, Image Splicing Detection using Camera Response Function Consistency and Automatic Segmentation, Int. Conf. on Multimedia Expo., pp , 2007 Zhouchen Lin, Rongrong Wang, Xiaoou Tang and Heung-Yeung Shum, Detecting Doctored Images Using Camera Response Normality and Consistency, CVPR,

65 koj Alin C. Popescu and Hany Farid, Exposing Digital Forgeries in Color Filter Array Interpolated Images, IEEE Transactions on Signal Processing, Vol. 52, No. 10, pp ,

66 G%B2"93&"-1%m"'"* Jan Lukas, Jessica Fridrich and Miroslav Goljan, Digital Camera Identification from Sensor Pattern Noise, IEEE Trans. on Information Forensics and Security, Vol. 1, No. 2, pp , Mo Chen, Jessica Fridrich, Miroslav Goljan and Jan Lukas, Determining Image Origin and Integrity Using Sensor Noise, IEEE Trans. on Information Forensics and Security, Vol. 3, No. 1, pp ,

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69 ˆ " = argmin " $ i ( y i # f ( x i ;")) 2 k 69

70 y = f (x;") + e p( y i x i,") = ( ) 1 & 2#$ exp y % f x i i 2 ( ' 2$ 2 ) + * ( { }) = p { y i} x i p " { x i }, y i & ( { },") = 1, 2#$ exp ( % y % f x i i 2 ( 2$ 2 i ' ( ) ( ) 2 ) + + * "log p ({ y i }{ x i },#) = $ y i " f x i i ( ) ( ) 2 + const 70

71 k 71

72 "" i j A F = a ij 2 72

73 J#"-8$%*76VHXPLXI HXPLXI =R<R << =e STI<R(RZ 73

74 o0# # x p = % $ n " i=1 x i p & ( ' x " = max x 1,, x n ( ) x 2 = x x n 2 x 1 = x 0 = x 1 ++ x n R $ 1"# ( x i ) i L1-Lasso, Fixed point algorithm Marching pursuit 74

75 G( minrank( A) + " E 0 s.t. D = A + E o<#6"'%e%87/ min A * + " E 1 s.t. D = A + E John Wright, Arvind Ganesh, Shankar Rao, Yigang Peng, and Yi Ma, Robust principal component analysis: exact recovery of corrupted low-rank matrices via convex optimization, NIPS,

76 o= o0 p( x) = % " % % 2#$ ' & 1 exp + x + µ ( ' * ( * ' & # ) ") & p ( * ) or I7$06"--"C-"/-&/gi k 76

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78 ( Christopher M. Harris and Daniel M. Wolpert, Signal-dependent noise determines motor planning, Nature, Vol. 394, pp ,

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E-1E-9 1 5) 15) ) 1 E-1 E-5 E-1E-5 11) 14 (E-2)(E-3) E-1E-5 Exif E-6E-9 E-6 2.1, 2.2 E E-1 E-5 E-6E-9 1-1) 1 Exif 11) (E-1) (E-2E-5) E-7

E-1E-9 1 5) 15) ) 1 E-1 E-5 E-1E-5 11) 14 (E-2)(E-3) E-1E-5 Exif E-6E-9 E-6 2.1, 2.2 E E-1 E-5 E-6E-9 1-1) 1 Exif 11) (E-1) (E-2E-5) E-7 77 674647-6562012 J. Struct. Constr. Eng., AIJ, Vol. 77 No. 674, 647-656, Apr., 2012 Satoshi FUJIMOTO Construction photo-editing has prevailed among the Japanese construction industries as digitalization