메뉴 건너뛰기




Volumn 2, Issue 2, 2009, Pages 569-592

A fast algorithm for edge-preserving variational multichannel image restoration

Author keywords

Cross channel; Fast fourier transform; Half quadratic; Image deblurring; Total variation

Indexed keywords

COLOR; COLOR IMAGE PROCESSING; FAST FOURIER TRANSFORMS; GAUSSIAN NOISE (ELECTRONIC); IMAGE ENHANCEMENT; IMAGE PROCESSING; IMAGE RECONSTRUCTION; ITERATIVE METHODS; NUMERICAL METHODS; RESTORATION; SIGNAL RECEIVERS;

EID: 85024122496     PISSN: None     EISSN: 19364954     Source Type: Journal    
DOI: 10.1137/080730421     Document Type: Article
Times cited : (489)

References (47)
  • 1
    • 0026883172 scopus 로고
    • Digital filters as absolute norm regularizers
    • S. Alliney, Digital filters as absolute norm regularizers, IEEE Trans. Signal Process., 40 (1992), pp. 1548-1562.
    • (1992) IEEE Trans. Signal Process , vol.40 , pp. 1548-1562
    • Alliney, S.1
  • 2
    • 34047214120 scopus 로고    scopus 로고
    • Deblurring of color images corrupted by impulsive noise
    • L. Bar, A. Brook, N. Sochen, and N. Kiryati, Deblurring of color images corrupted by impulsive noise, IEEE Trans. Image Process., 16 (2007), pp. 1101-1110.
    • (2007) IEEE Trans. Image Process , vol.16 , pp. 1101-1110
    • Bar, L.1    Brook, A.2    Sochen, N.3    Kiryati, N.4
  • 3
    • 0032026262 scopus 로고    scopus 로고
    • Color TV: Total variation methods for restoration of vector-valued images
    • P. Blomgren and T. F. Chan, Color TV: Total variation methods for restoration of vector-valued images, IEEE Trans. Image Process., 7 (1998), pp. 304-309.
    • (1998) IEEE Trans. Image Process , vol.7 , pp. 304-309
    • Blomgren, P.1    Chan, T.F.2
  • 4
    • 0031233039 scopus 로고    scopus 로고
    • Multispectral image restoration with multisensors
    • K. Boo and N. K. Bose, Multispectral image restoration with multisensors, IEEE Trans. Geosci. Remote Sensing, 35 (1997), pp. 1160-1170.
    • (1997) IEEE Trans. Geosci. Remote Sensing , vol.35 , pp. 1160-1170
    • Boo, K.1    Bose, N.K.2
  • 6
    • 0037403648 scopus 로고    scopus 로고
    • Variational restoration and edge detection for color images
    • A. Brook, R. Kimmel, and N. Sochen, Variational restoration and edge detection for color images, J. Math. Imaging Vision, 18 (2003), pp. 247-268.
    • (2003) J. Math. Imaging Vision , vol.18 , pp. 247-268
    • Brook, A.1    Kimmel, R.2    Sochen, N.3
  • 7
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • A. Chambolle, An algorithm for total variation minimization and applications, J. Math. Imaging Vision, 20 (2004), pp. 89-97.
    • (2004) J. Math. Imaging Vision , vol.20 , pp. 89-97
    • Chambolle, A.1
  • 8
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. Chambolle and P. L. Lions, Image recovery via total variation minimization and related problems, Numer. Math., 76 (1997), pp. 167-188.
    • (1997) Numer. Math , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.L.2
  • 11
    • 0035694294 scopus 로고    scopus 로고
    • Total variation denoising and enhancement color images based on the CB and HSV color models
    • T. F. Chan, S. H. Kang, and J. Shen, Total variation denoising and enhancement color images based on the CB and HSV color models, J. Visual Comm. Image Rep., 12 (2001), pp. 422-435.
    • (2001) J. Visual Comm. Image Rep , vol.12 , pp. 422-435
    • Chan, T.F.1    Kang, S.H.2    Shen, J.3
  • 12
    • 0035074671 scopus 로고    scopus 로고
    • High-order total variation-based image restoration
    • T. Chan, A. Marquina, and P. Mulet, High-order total variation-based image restoration, SIAM J. Sci. Comput., 22 (2000), pp. 503-516.
    • (2000) SIAM J. Sci. Comput , vol.22 , pp. 503-516
    • Chan, T.1    Marquina, A.2    Mulet, P.3
  • 13
    • 0034844910 scopus 로고    scopus 로고
    • Variational restoration of nonflat image features: Models and algorithms
    • T. Chan and J. Shen, Variational restoration of nonflat image features: Models and algorithms, SIAM J. Appl. Math., 61 (2000), pp. 1338-1361.
    • (2000) SIAM J. Appl. Math , vol.61 , pp. 1338-1361
    • Chan, T.1    Shen, J.2
  • 14
    • 0030212858 scopus 로고    scopus 로고
    • Recovery of blocky images from noisy and blurred data
    • D. C. Dobson and F. Santosa, Recovery of blocky images from noisy and blurred data, SIAM J. Appl. Math., 56 (1996), pp. 1181-1198.
    • (1996) SIAM J. Appl. Math , vol.56 , pp. 1181-1198
    • Dobson, D.C.1    Santosa, F.2
  • 15
    • 34249109703 scopus 로고    scopus 로고
    • Structured total least squares for color image restoration
    • H. Fu, M. K. Ng, and J. L. Barlow, Structured total least squares for color image restoration, SIAM J. Sci. Comput., 28 (2006), pp. 1100-1119.
    • (2006) SIAM J. Sci. Comput , vol.28 , pp. 1100-1119
    • Fu, H.1    Ng, M.K.2    Barlow, J.L.3
  • 17
    • 0026835074 scopus 로고
    • Constrained restoration and the recovery of discontinuities
    • D. Geman and G. Reynolds, Constrained restoration and the recovery of discontinuities, IEEE Trans. Pattern Anal. Mach. Intell., 14 (1992), pp. 367-383.
    • (1992) IEEE Trans. Pattern Anal. Mach. Intell , vol.14 , pp. 367-383
    • Geman, D.1    Reynolds, G.2
  • 18
    • 0029341230 scopus 로고
    • Nonlinear image recovery with half-quadratic regularization
    • D. Geman and C. Yang, Nonlinear image recovery with half-quadratic regularization, IEEE Trans. Image Process., 4 (1995), pp. 932-946.
    • (1995) IEEE Trans. Image Process , vol.4 , pp. 932-946
    • Geman, D.1    Yang, C.2
  • 21
    • 69649095451 scopus 로고    scopus 로고
    • 1-minimization: Methodology and convergence
    • 1-minimization: Methodology and convergence, SIAM J. Optim., 19 (2008), pp. 1107-1130.
    • (2008) SIAM J. Optim , vol.19 , pp. 1107-1130
    • Hale, E.T.1    Yin, W.2    Zhang, Y.3
  • 22
    • 0001050714 scopus 로고
    • An iterative technique for the rectification of observed distributions
    • L. B. Lucy, An iterative technique for the rectification of observed distributions, Astronom. J., 79 (1974), pp. 745-754.
    • (1974) Astronom. J , vol.79 , pp. 745-754
    • Lucy, L.B.1
  • 23
    • 29344446686 scopus 로고    scopus 로고
    • Iterative image restoration combining total variation minimization and a second-order functional
    • O. M. Lysaker and X.-C. Tai, Iterative image restoration combining total variation minimization and a second-order functional, Int. J. Comput. Vision, 66 (2006), pp. 5-18.
    • (2006) Int. J. Comput. Vision , vol.66 , pp. 5-18
    • Lysaker, O.M.1    Tai, X.-C.2
  • 24
    • 0036958012 scopus 로고    scopus 로고
    • Fast color image restoration with multisensors
    • M. K. Ng and N. K. Bose, Fast color image restoration with multisensors, Int. J. Imaging Syst. Technol., 12 (2002), pp. 189-197.
    • (2002) Int. J. Imaging Syst. Technol , vol.12 , pp. 189-197
    • Ng, M.K.1    Bose, N.K.2
  • 25
    • 0033296755 scopus 로고    scopus 로고
    • A fast algorithm for deblurring models with Neumann boundary conditions
    • M. K. Ng, R. H. Chan, and W.-C. Tang, A fast algorithm for deblurring models with Neumann boundary conditions, SIAM J. Sci. Comput., 21 (1999), pp. 851-866.
    • (1999) SIAM J. Sci. Comput , vol.21 , pp. 851-866
    • Ng, M.K.1    Chan, R.H.2    Tang, W.-C.3
  • 26
    • 0038042413 scopus 로고    scopus 로고
    • Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers
    • M. Nikolova, Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers, SIAM J. Numer. Anal., 40 (2002), pp. 965-994.
    • (2002) SIAM J. Numer. Anal , vol.40 , pp. 965-994
    • Nikolova, M.1
  • 28
    • 19844370110 scopus 로고    scopus 로고
    • An iterative regularization method for total variation-based image restoration
    • S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin, An iterative regularization method for total variation-based image restoration, Multiscale Model. Simul., 4 (2005), pp. 460-489.
    • (2005) Multiscale Model. Simul , vol.4 , pp. 460-489
    • Osher, S.1    Burger, M.2    Goldfarb, D.3    Xu, J.4    Yin, W.5
  • 29
    • 0002594849 scopus 로고
    • Bayesian-based iterative method of image restoration
    • W. H. Richardson, Bayesian-based iterative method of image restoration, J. Opt. Soc. Amer., 62 (1972), pp. 55-59.
    • (1972) J. Opt. Soc. Amer , vol.62 , pp. 55-59
    • Richardson, W.H.1
  • 30
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 33
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. I. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Phys. D, 60 (1992), pp. 259-268.
    • (1992) Phys. D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 36
    • 0030286977 scopus 로고    scopus 로고
    • Anisotropic diffusion of multivalued images with applications to color filtering
    • G. Sapiro and D. L. Ringach, Anisotropic diffusion of multivalued images with applications to color filtering, IEEE Trans. Image Process., 5 (1996), pp. 1582-1586.
    • (1996) IEEE Trans. Image Process , vol.5 , pp. 1582-1586
    • Sapiro, G.1    Ringach, D.L.2
  • 37
    • 0005352195 scopus 로고    scopus 로고
    • Spatially adaptive local feature-driven total variation minimizing image restoration
    • D. Strong, P. Blomgren, and T. F. Chan, Spatially adaptive local feature-driven total variation minimizing image restoration, in Proceedings of SPIE, Vol. 3137, 1997, pp. 222-233.
    • (1997) Proceedings of SPIE , vol.3137 , pp. 222-233
    • Strong, D.1    Blomgren, P.2    Chan, T.F.3
  • 39
    • 0035334369 scopus 로고    scopus 로고
    • Color image enhancement via chromaticity diffusion
    • B. Tang, G. Sapiro, and V. Caselles, Color image enhancement via chromaticity diffusion, IEEE Trans. Image Process., 10 (2001), pp. 701-707.
    • (2001) IEEE Trans. Image Process , vol.10 , pp. 701-707
    • Tang, B.1    Sapiro, G.2    Caselles, V.3
  • 40
    • 0025402448 scopus 로고
    • Multichannel image modeling and Kalman filtering for multispectral image restoration
    • A. Tekalp and G. Pavlovic, Multichannel image modeling and Kalman filtering for multispectral image restoration, Signal Process., 19 (1990), pp. 221-232.
    • (1990) Signal Process , vol.19 , pp. 221-232
    • Tekalp, A.1    Pavlovic, G.2
  • 42
    • 0001556589 scopus 로고    scopus 로고
    • Iterative methods for total variation denoising
    • C. R. Vogel and M. E. Oman, Iterative methods for total variation denoising, SIAM J. Sci. Comput., 17 (1996), pp. 227-238.
    • (1996) SIAM J. Sci. Comput , vol.17 , pp. 227-238
    • Vogel, C.R.1    Oman, M.E.2
  • 43
    • 85012251675 scopus 로고    scopus 로고
    • A new alternating minimization algorithm for total variation image reconstruction
    • Y. Wang, J. Yang, W. Yin, and Y. Zhang, A new alternating minimization algorithm for total variation image reconstruction, SIAM J. Imaging Sci., 1 (2008), pp. 248-272.
    • (2008) SIAM J. Imaging Sci , vol.1 , pp. 248-272
    • Wang, Y.1    Yang, J.2    Yin, W.3    Zhang, Y.4
  • 44
    • 54949087856 scopus 로고    scopus 로고
    • Efficient total variation minimization methods for color image restoration
    • Y. W. Wen, M. K. Ng, and Y. M. Huang, Efficient total variation minimization methods for color image restoration, IEEE Trans. Image Process., 17 (2008), pp. 2081-2088.
    • (2008) IEEE Trans. Image Process , vol.17 , pp. 2081-2088
    • Wen, Y.W.1    Ng, M.K.2    Huang, Y.M.3
  • 45
    • 36749031147 scopus 로고    scopus 로고
    • An iteratively reweighted norm algorithm for minimization of total variation functionals
    • B. Wohlberg and P. Rodríguez, An iteratively reweighted norm algorithm for minimization of total variation functionals, IEEE Signal Process. Lett., 14 (2007), pp. 948-951.
    • (2007) IEEE Signal Process. Lett , vol.14 , pp. 948-951
    • Wohlberg, B.1    Rodríguez, P.2
  • 47
    • 0004095766 scopus 로고
    • Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
    • Springer, New York
    • W. P. Ziemer, Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation, Grad. Texts in Math. 120, Springer, New York, 1989.
    • (1989) Grad. Texts in Math , pp. 120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.