Tight framelets on graphs for multiscale data analysis

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

4 Scopus Citations
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Author(s)

Related Research Unit(s)

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

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

Citation Format(s)

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: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review