Deconvolving Images With Unknown Boundaries Using the Alternating Direction Method of Multipliers

@article{Almeida2013DeconvolvingIW,
  title={Deconvolving Images With Unknown Boundaries Using the Alternating Direction Method of Multipliers},
  author={Mariana S. C. Almeida and M{\'a}rio A. T. Figueiredo},
  journal={IEEE Transactions on Image Processing},
  year={2013},
  volume={22},
  pages={3074-3086}
}
The alternating direction method of multipliers (ADMM) has recently sparked interest as a flexible and efficient optimization tool for inverse problems, namely, image deconvolution and reconstruction under non-smooth convex regularization. ADMM achieves state-of-the-art speed by adopting a divide and conquer strategy, wherein a hard problem is split into simpler, efficiently solvable sub-problems (e.g., using fast Fourier or wavelet transforms, or simple proximity operators). In deconvolution… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 43 REFERENCES

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

Stephen P. Boyd, Neal Parikh, Eric Chu, Borja Peleato, Jonathan Eckstein
  • Foundations and Trends in Machine Learning
  • 2011
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Reducing boundary artifacts in image deconvolution

  • 2008 15th IEEE International Conference on Image Processing
  • 2008
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

Iterative methods for Toeplitz systems

M. Ng
  • 2004
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

A Wavelet Tour of Signal Processing

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Removing Boundary Artifacts for Real-Time Iterated Shrinkage Deconvolution

  • IEEE Transactions on Image Processing
  • 2012
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Split Bregman Methods and Frame Based Image Restoration

  • Multiscale Modeling & Simulation
  • 2009
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL