Inexact Alternating Direction Methods for Image Recovery

In the image processing community, there have recently been many restoration and reconstruction problems that can be reformulated into linearly constrained convex programming models whose objective functions have separable structures. These favorable reformulations have promoted impressive applicati...

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Published in:SIAM journal on scientific computing Vol. 33; no. 4; pp. 1643 - 1668
Main Authors: Ng, Michael K., Wang, Fan, Yuan, Xiaoming
Format: Journal Article
Language:English
Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
Subjects:
Algorithms
Applied mathematics
Decomposition
Exact sciences and technology
Fourier transforms
Mathematics
Methods
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Alternating direction method
68U10
65K15
Image processing
Iteration
Convex programming
Convergence
Exact solution
inexact
Numerical analysis
Scientific computation
image restoration
65F22
94A08
65J22
65K10
construction
Convex function
image re
65J20
compression
ISSN:1064-8275, 1095-7197
Online Access:Get full text
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Abstract In the image processing community, there have recently been many restoration and reconstruction problems that can be reformulated into linearly constrained convex programming models whose objective functions have separable structures. These favorable reformulations have promoted impressive applications of the alternating direction method (ADM) in the field of image processing. At each iteration, the computation of ADM is dominated by solving two subproblems exactly. However, in many restoration and reconstruction applications, it is either impossible or extremely expensive to obtain exact solutions of these ADM subproblems. This fact urges the development on inexact versions of ADM, which allow the generated ADM subproblems to be solved approximately subject to certain inexactness criteria. In this paper, we develop some truly implementable inexact ADMs whose inexactness criteria controlling the accuracy of the ADM subproblems are easily implementable. The convergence of the new inexact ADMs will be proved. Numerical results on several image processing problems will be given to illustrate the effectiveness of the proposed inexact ADMs.
AbstractList In the image processing community, there have recently been many restoration and reconstruction problems that can be reformulated into linearly constrained convex programming models whose objective functions have separable structures. These favorable reformulations have promoted impressive applications of the alternating direction method (ADM) in the field of image processing. At each iteration, the computation of ADM is dominated by solving two subproblems exactly. However, in many restoration and reconstruction applications, it is either impossible or extremely expensive to obtain exact solutions of these ADM subproblems. This fact urges the development on inexact versions of ADM, which allow the generated ADM subproblems to be solved approximately subject to certain inexactness criteria. In this paper, we develop some truly implementable inexact ADMs whose inexactness criteria controlling the accuracy of the ADM subproblems are easily implementable. The convergence of the new inexact ADMs will be proved. Numerical results on several image processing problems will be given to illustrate the effectiveness of the proposed inexact ADMs.
Author Yuan, Xiaoming
Ng, Michael K.
Wang, Fan
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Cites_doi 10.1016/j.jvcir.2009.10.006
10.1016/0898-1221(76)90003-1
10.1007/BF01581276
10.1007/s101070100280
10.1007/s11045-010-0137-9
10.1137/090768813
10.1007/BF01581204
10.1137/090774823
10.1137/090777761
10.1007/BFb0120965
10.1007/BF01582566
10.1007/BF00927673
10.1137/09076934X
10.1080/02331930412331327157
10.1080/10556780600552693
10.1007/BF00247655
10.1137/S1052623495279797
10.1137/100781894
10.1080/10556789408805578
10.1007/BF02680549
10.1016/S0167-6377(98)00044-3
10.1137/080724265
10.1016/j.acha.2006.09.005
10.1023/A:1004603514434
10.1287/moor.1.2.97
10.1137/080725891
10.1007/s11263-010-0357-3
10.1023/A:1013048729944
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Issue 4
Keywords Alternating direction method
68U10
65K15
Image processing
Iteration
Convex programming
Convergence
Exact solution
inexact
Numerical analysis
Scientific computation
image restoration
65F22
94A08
65J22
65K10
construction
Convex function
image re
65J20
compression
Language English
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References R41
R40
R21
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R23
R45
R22
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R24
R27
R26
Martinet B. (R29) 1970; 4
R2
R5
R8
R9
R10
R32
R31
R11
R14
R36
R16
R38
R37
R17
R39
References_xml – ident: R38
  doi: 10.1016/j.jvcir.2009.10.006
– ident: R17
  doi: 10.1016/0898-1221(76)90003-1
– ident: R39
  doi: 10.1007/BF01581276
– ident: R23
  doi: 10.1007/s101070100280
– ident: R32
  doi: 10.1007/s11045-010-0137-9
– ident: R24
  doi: 10.1137/090768813
– ident: R10
  doi: 10.1007/BF01581204
– volume: 4
  start-page: 154
  year: 1970
  ident: R29
  publication-title: Recherche Opérationnelle
– ident: R31
  doi: 10.1137/090774823
– ident: R44
  doi: 10.1137/090777761
– ident: R2
  doi: 10.1007/BFb0120965
– ident: R8
  doi: 10.1007/BF01582566
– ident: R26
  doi: 10.1007/BF00927673
– ident: R14
  doi: 10.1137/09076934X
– ident: R9
  doi: 10.1080/02331930412331327157
– ident: R45
  doi: 10.1080/10556780600552693
– ident: R16
  doi: 10.1007/BF00247655
– ident: R41
  doi: 10.1137/S1052623495279797
– ident: R40
  doi: 10.1137/100781894
– ident: R11
  doi: 10.1080/10556789408805578
– ident: R27
  doi: 10.1007/BF02680549
– ident: R21
  doi: 10.1016/S0167-6377(98)00044-3
– ident: R42
  doi: 10.1137/080724265
– ident: R5
  doi: 10.1016/j.acha.2006.09.005
– ident: R22
  doi: 10.1023/A:1004603514434
– ident: R36
  doi: 10.1287/moor.1.2.97
– ident: R20
  doi: 10.1137/080725891
– ident: R37
  doi: 10.1007/s11263-010-0357-3
– ident: R25
  doi: 10.1023/A:1013048729944
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Snippet In the image processing community, there have recently been many restoration and reconstruction problems that can be reformulated into linearly constrained...
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SubjectTerms Algorithms
Applied mathematics
Decomposition
Exact sciences and technology
Fourier transforms
Mathematics
Methods
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Title Inexact Alternating Direction Methods for Image Recovery
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Volume 33
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