2009, English, Article edition: Sparse Decomposition of Two Dimensional Signals Ghafari, A.; Babaie-Zadeh, Massoud; Jutten, Christian

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Sparse Decomposition of Two Dimensional Signals
Author
  • Ghafari, A.
  • Babaie-Zadeh, Massoud
  • Jutten, Christian
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • 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).
  • HAL:hal-00400464, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00400464/​en/​
Language
  • English
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