
Proceedings Paper
Coarse quantization with the fast digital shearlet transformFormat | Member Price | Non-Member Price |
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Paper Abstract
The fast digital shearlet transform (FDST) was recently introduced as a means to analyze natural images
efficiently, owing to the fact that those are typically governed by cartoon-like structures. In this paper, we
introduce and discuss a first-order hybrid sigma-delta quantization algorithm for coarsely quantizing the shearlet
coefficients generated by the FDST. Radial oversampling in the frequency domain together with our choice for
the quantization helps suppress the reconstruction error in a similar way as first-order sigma-delta quantization
for finite frames. We provide a theoretical bound for the reconstruction error and confirm numerically that the
error is in accordance with this theoretical decay.
Paper Details
Date Published: 27 September 2011
PDF: 10 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380Z (27 September 2011); doi: 10.1117/12.892720
Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)
PDF: 10 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380Z (27 September 2011); doi: 10.1117/12.892720
Show Author Affiliations
Xiaosheng Zhuang, Univ. Osnabrück (Germany)
Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)
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