Atomic Decomposition by Basis Pursuit
SIAM Review
Extensions of compressed sensing
Signal Processing - Sparse approximations in signal and image processing
A filter bank for the directional decomposition of images: theoryand design
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Information Theory
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Compressed sensing of astronomical images: orthogonal wavelets domains
Proceedings of the 12th International Conference on Computer Systems and Technologies
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Compressed sensing (CS) has been widely concerned and sparsity of a signal plays a crucial role in CS to exactly recover signals. Contourlet transform provides sparse representations for images, so an algorithm of CS reconstruction based on contourlet is considered. Meanwhile, taking into account the computation and the storage of large random measurement matrices in the CS framework, we are trying to introduce the wavelet transform into the contourlet domain to reduce the size of random measurement matrices. Several numerical experiments demonstrate that this idea is feasible. The proposed algorithm possesses the following advantages: reduced size of random measurement matrix and improved recovered performance.