Tight framelets on graphs for multiscale data analysis

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

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Detail(s)

Original languageEnglish
Title of host publicationWavelets and Sparsity XVIII
EditorsDimitri Van De Ville, Manos Papadakis, Yue M. Lu
PublisherSPIE
ISBN (electronic)9781510629707
ISBN (print)9781510629691
Publication statusPublished - Aug 2019

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11138
ISSN (Print)0277-786X
ISSN (electronic)1996-756X

Conference

TitleConference on Wavelets and Sparsity XVIII
PlaceUnited States
CitySan Diego
Period13 - 15 August 2019

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85077113692&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(5dfdc55a-2b17-462d-9651-efd94db03012).html

Abstract

In this paper, we discuss the construction and applications of decimated tight framelets on graphs. Based on graph clustering algorithms, a coarse-grained chain of graphs can be constructed where a suitable orthonormal eigenpair can be deduced. Decimated tight framelets can then be constructed based on the orthonormal eigen-pair. Moreover, such tight framelets are associated with filter banks with which fast framelet transform algorithms can be realized. An explicit toy example of decimated tight framelets on a graph is provided.

Research Area(s)

  • coarse-grained chain, decimated framelets, fast algorithms, fast framelet transforms, filter banks, framelets on graphs, graph Laplacian, graph signal processing, spectral graph theory, Tight framelets

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Publication fingerprints text

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Tight Wavelet Frame... Keyphrases
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Multiscale Data Ana... Keyphrases
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graphs INIS
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data analysis INIS
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Framelets Mathematics
40
Orthonormal Keyphrases
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Eigenpair Keyphrases
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algorithms INIS
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Filter Bank Keyphrases
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Graph Clustering Al... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Tight framelets on graphs for multiscale data analysis. / Wang, Yu Guang; Zhuang, Xiaosheng.
Wavelets and Sparsity XVIII. ed. / Dimitri Van De Ville; Manos Papadakis; Yue M. Lu. SPIE, 2019. 111380B (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11138).

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