Sparse Multidimensional Representations using Anisotropic Dilation and Shear Operators

@inproceedings{Guo2006SparseMR,
  title={Sparse Multidimensional Representations using Anisotropic Dilation and Shear Operators},
  author={Kanghui Guo and Gitta Kutyniok and Demetrio Labate},
  year={2006}
}
Recent advances in applied mathematics and signal processing have shown that, in order to obtain sparse representations of multi-dimensional functions and signals, one has to use representation elements distributed not only at various scales and locations – as in classical wavelet theory – but also at various directions. In this paper, we show that we obtain a construction having exactly these properties by using the framework of affine systems. The representation elements that we obtain are… CONTINUE READING
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