Coarse quantization with the fast digital shearlet transform

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume8138
Publication statusPublished - 2011
Externally publishedYes

Publication series

Name
Volume8138
ISSN (Print)0277-786X

Conference

TitleWavelets and Sparsity XIV
PlaceUnited States
CitySan Diego, CA
Period21 - 24 August 2011

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-80055050540&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(6f26e878-f641-4a03-b1df-7f35e1945969).html

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. © 2011 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE).

Research Area(s)

  • FDST, Hybrid Sigma-Delta Quantization, ShearLab, Shearlets, Tight Frame

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Publication fingerprints text

100
Transform Mathematics
100
quantization INIS
100
Fast Digital Shearl... Keyphrases
100
Coarse Quantization Keyphrases
100
Reconstruction Erro... Computer Science
100
sigma-delta Computer Science
75
errors INIS
66
Order Mathematics
66
First-order Keyphrases
66
Sigma-Delta Quantiz... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Coarse quantization with the fast digital shearlet transform. / Bodmann, Bernhard G.; Kutyniok, Gitta; Zhuang, Xiaosheng.
Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8138 2011. 81380Z.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review