메뉴 건너뛰기




Volumn 27, Issue 2, 2006, Pages 622-645

Second-order cone programming methods for total variation-based image restoration

Author keywords

Domain decomposition; Image denoising; Interior point methods; Nested dissection; Second order cone programming; Total variation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; IMAGE RECONSTRUCTION; MATHEMATICAL MODELS; POLYNOMIALS;

EID: 33645038355     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/040608982     Document Type: Article
Times cited : (158)

References (24)
  • 1
    • 2342458706 scopus 로고    scopus 로고
    • Second-order cone programming
    • F. ALIZADEH AND D. GOLDFARB, Second-order cone programming, Math. Program., 95 (2003), pp. 3-51.
    • (2003) Math. Program. , vol.95 , pp. 3-51
    • Alizadeh, F.1    Goldfarb, D.2
  • 2
    • 0003654728 scopus 로고    scopus 로고
    • Optimization with semidefinite, quadratic, and linear constraints
    • RUTCOR, Rutgers University, Piscataway, NJ
    • F. ALIZADEH AND S. SCHMIETA, Optimization with Semidefinite, Quadratic, and Linear Constraints, Technical report, RUTCOR, Rutgers University, Piscataway, NJ, 1997.
    • (1997) Technical Report
    • Alizadeh, F.1    Schmieta, S.2
  • 3
    • 0034457609 scopus 로고    scopus 로고
    • An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms
    • K.D. ANDERSEN, E. CHRISTIANSEN, A.R. CONN, AND M.L. OVERTON, An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms, SIAM J. Sci. Comput., 22 (2000), pp. 243-262.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 243-262
    • Andersen, K.D.1    Christiansen, E.2    Conn, A.R.3    Overton, M.L.4
  • 4
    • 85049184544 scopus 로고    scopus 로고
    • Mathematical problems in image processing
    • Springer, New York
    • G. AUBERT AND P. KORNPROBST, Mathematical Problems in Image Processing, Appl. Math. Sci. 147, Springer, New York, 2002.
    • (2002) Appl. Math. Sci. , vol.147
    • Aubert, G.1    Kornprobst, P.2
  • 5
    • 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 Vis., 20 (2004), pp. 89-97.
    • (2004) J. Math. Imaging Vis. , vol.20 , pp. 89-97
    • Chambolle, A.1
  • 6
    • 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
  • 7
    • 4244181480 scopus 로고
    • Continuation method for total variation denoising problems
    • UCLA
    • R. CHAN, T. CHAN, AND H.-M. ZHOU, Continuation Method for Total Variation Denoising Problems, CAM Report 95-18, UCLA, 1995.
    • (1995) CAM Report , vol.95 , Issue.18
    • Chan, R.1    Chan, T.2    Zhou, H.-M.3
  • 9
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variationbased image restoration
    • T.F. CHAN, G.H. GOLUB, AND P. MULET, A nonlinear primal-dual method for total variationbased image restoration, SIAM J. Sci. Comput., 20 (1999), pp. 1964-1977.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1964-1977
    • Chan, T.F.1    Golub, G.H.2    Mulet, P.3
  • 10
    • 0000264382 scopus 로고
    • Nested dissection of a regular finite element mesh
    • A. GEORGE, Nested dissection of a regular finite element mesh, SIAM J. Numer. Anal., 10 (1973), pp. 345-363.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 345-363
    • George, A.1
  • 11
    • 85140868160 scopus 로고    scopus 로고
    • T) factorization based implementations of interior point methods for second-order cone programming
    • IEOR Department, Columbia University, New York
    • T) Factorization Based Implementations of Interior Point Methods for Second-Order Cone Programming, CORC Report TR-2003-05, IEOR Department, Columbia University, New York, 2003.
    • (2003) CORC Report , vol.TR-2003-05
    • Goldfarb, D.1    Scheinberg, K.2
  • 12
    • 4544249333 scopus 로고    scopus 로고
    • Total bounded variation regularization as a bilaterally constrained optimization problem
    • M. HINTERMÜLLER AND K. KUNISCH, Total bounded variation regularization as a bilaterally constrained optimization problem, SIAM J. Appl. Math., 64 (2004), pp. 1311-1333.
    • (2004) SIAM J. Appl. Math. , vol.64 , pp. 1311-1333
    • Hintermüller, M.1    Kunisch, K.2
  • 13
    • 84858555207 scopus 로고    scopus 로고
    • An infeasible primal-dual algorithm for TV-based inf-convolution-type Image Restoration
    • CAAM Department, Rice University, Houston, TX
    • M. HINTERMÜLLER AND G. STADLER, An Infeasible Primal-Dual Algorithm for TV-Based inf-Convolution-type Image Restoration, Technical report TR04-15, CAAM Department, Rice University, Houston, TX, 2004.
    • (2004) Technical Report , vol.TR04-15
    • Hintermüller, M.1    Stadler, G.2
  • 14
    • 4544278119 scopus 로고    scopus 로고
    • Noise removal using fourth-order partial differential equations with applications to medical magnetic resonance images in space and time
    • M. LYSAKER, A. LUNDERVOLD, AND X.-C. TAJ, Noise removal using fourth-order partial differential equations with applications to medical magnetic resonance images in space and time, IEEE Trans. Image Process., 12 (2003), pp. 1579-1590.
    • (2003) IEEE Trans. Image Process. , vol.12 , pp. 1579-1590
    • Lysaker, M.1    Lundervold, A.2    Taj, X.-C.3
  • 15
    • 0344791828 scopus 로고    scopus 로고
    • Oscillating patterns in image processing and nonlinear evolution equations
    • AMS, Providence, RI
    • Y. MEYER, Oscillating Patterns in Image Processing and Nonlinear Evolution Equations, Univ. Lecture Ser. 22, AMS, Providence, RI, 2002.
    • (2002) Univ. Lecture Ser. , vol.22
    • Meyer, Y.1
  • 17
    • 13244257017 scopus 로고    scopus 로고
    • Nonlinear evolution equations as fast and exact solvers of estimation problems
    • I. POLLAK, A. WILLSKY, AND Y. HUANG, Nonlinear evolution equations as fast and exact solvers of estimation problems, IEEE Trans. Signal Process., 53 (2005), pp. 484-498.
    • (2005) IEEE Trans. Signal Process. , vol.53 , pp. 484-498
    • Pollak, I.1    Willsky, A.2    Huang, Y.3
  • 18
    • 33645038143 scopus 로고
    • A recursive analysis of dissection strategies
    • Academic Press, New York
    • D. ROSE AND G. WHITTEN, A recursive analysis of dissection strategies, in Sparse Matrix Computations, Academic Press, New York, 1976, pp. 59-84.
    • (1976) Sparse Matrix Computations , pp. 59-84
    • Rose, D.1    Whitten, G.2
  • 19
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. 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.1    Osher, S.2    Fatemi, E.3
  • 20
    • 0346316863 scopus 로고    scopus 로고
    • Edge-preserving and scale-dependent properties of total variation regularization
    • D. STRONG AND T. CHAN, Edge-preserving and scale-dependent properties of total variation regularization, Inverse Problems, 19 (2003), pp. 165-187.
    • (2003) Inverse Problems , vol.19 , pp. 165-187
    • Strong, D.1    Chan, T.2
  • 21
    • 0011021531 scopus 로고    scopus 로고
    • A study in the BV space of a denoising-deblurring variational problem
    • L. VESE, A study in the BV space of a denoising-deblurring variational problem, Appl. Math. Optim., 44 (2001), pp. 131-161.
    • (2001) Appl. Math. Optim. , vol.44 , pp. 131-161
    • Vese, L.1
  • 22
    • 0347900511 scopus 로고    scopus 로고
    • Modeling textures with total variation minimization and oscillating patterns in image processing
    • L. VESE AND S. OSHER, Modeling textures with total variation minimization and oscillating patterns in image processing, J. Sci. Comput., 19 (2003), pp. 553-572.
    • (2003) J. Sci. Comput. , vol.19 , pp. 553-572
    • Vese, L.1    Osher, S.2
  • 23
    • 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
  • 24
    • 33646538693 scopus 로고    scopus 로고
    • Total variation-based image cartoon-texture decomposition
    • IEOR Department, Columbia University, New York
    • W. YIN, D. GOLDFARB, AND S. OSHER, Total Variation-Based Image Cartoon-Texture Decomposition, CORC Report, TR-2005-01, IEOR Department, Columbia University, New York, 2005.
    • (2005) CORC Report , vol.TR-2005-01
    • Yin, W.1    Goldfarb, D.2    Osher, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.