An Approach to Improve the Effectiveness of Wavelet and Contourlet Compressed Sensing Reconstruction

Truncation artifacts appear in DFT reconstructions through discontinuities across the ends of the data set which mathematically is cyclic in k -space. A suggestion indicates that similar position dependent distortions will be present in CS reconstructions which repeatedly use the DFT. A comparison is made between standard Wavelet and Contourlet CS reconstructions and proposed high k-space extrapolation enabled ( Hi-KEE ) variants of these approaches. The CS-Contourlet outperforms the common CS-Wavelet in providing a better sparse representation of contour-shaped objects and detailed textures. The Hi-KEE -CS-Contourlet is shown to outperform the CS-Contourlet by providing a better position independent resolution solution.

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