A Fast Alternating Direction Method for TVL1-L2 Signal Reconstruction From Partial Fourier Data

@article{Yang2010AFA,
  title={A Fast Alternating Direction Method for TVL1-L2 Signal Reconstruction From Partial Fourier Data},
  author={Junfeng Yang and Yin Zhang and Wotao Yin},
  journal={IEEE Journal of Selected Topics in Signal Processing},
  year={2010},
  volume={4},
  pages={288-297}
}
Recent compressive sensing results show that it is possible to accurately reconstruct certain compressible signals from relatively few linear measurements via solving nonsmooth convex optimization problems. In this paper, we propose the use of the alternating direction method - a classic approach for optimization problems with separable variables (D. Gabay and B. Mercier, ¿A dual algorithm for the solution of nonlinear variational problems via finite-element approximations,¿ Computer and… CONTINUE READING

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