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ICASSP
2009
IEEE

Sparse decomposition of two dimensional signals

10 years 4 months ago
Sparse decomposition of two dimensional signals
In this paper, we consider sparse decomposition (SD) of twodimensional (2D) signals on overcomplete dictionaries with separable atoms. Although, this problem can be solved by converting it to the SD of one-dimensional (1D) signals, this approach requires a tremendous amount of memory and computational cost. Moreover, the uniqueness constraint obtained by this approach is too restricted. Then in the paper, we present an algorithm to be used directly for sparse decomposition of 2D signals on dictionaries with separable atoms. Moreover, we will state another uniqueness constraint for this class of decomposition. Our algorithm is obtained by modifying the Smoothed L0 (SL0) algorithm, and hence we call it two-dimensional SL0 (2D-SL0).
Aboozar Ghafari, Massoud Babaie-Zadeh, Christian J
Added 21 May 2010
Updated 21 May 2010
Type Conference
Year 2009
Where ICASSP
Authors Aboozar Ghafari, Massoud Babaie-Zadeh, Christian Jutten
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