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Wave atoms and sparsity of oscillatory patterns
Wave atoms Image processing Texture Oscillatory Warping Diffeomorphism
2015/7/14
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ～ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
Non-orthogonal fusion frames and the sparsity of fusion frame operators
Frames Fusion Frames Sparsity Fusion Frame Operator
2011/1/19
Fusion frames have become a major tool in the implemen-tation of distributed systems. The effectiveness of fusion frame appli-cations in distributed systems is reflected in the efficiency of the end f...
Note on sparsity in signal recovery and in matrix identification
Sparse signal recovery compressed sensing Basis Pursuit time-frequency shifts
2008/11/10
We describe a connection between the identi cation problem for matrices with sparse representations in given matrix dictionaries and the problem of sparse signal recovery. This allows the application ...