Dual Wavelet Frame Transforms on Manifolds and Graphs
Joint Authors
Sun, Jianjun
Cui, Lihong
Wu, Qiaoyun
Liu, Jiale
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we consider the dual wavelet frames in both continuum setting, i.e., on manifolds, and discrete setting, i.e., on graphs.
Firstly, we give sufficient conditions for the existence of dual wavelet frames on manifolds by their corresponding masks.
Then, we present the formula of the decomposition and reconstruction for the dual wavelet frame transforms on graphs.
Finally, we give a numerical example to illustrate the validity of the dual wavelet frame transformation applied to the graph data.
American Psychological Association (APA)
Cui, Lihong& Wu, Qiaoyun& Liu, Jiale& Sun, Jianjun. 2019. Dual Wavelet Frame Transforms on Manifolds and Graphs. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1181363
Modern Language Association (MLA)
Cui, Lihong…[et al.]. Dual Wavelet Frame Transforms on Manifolds and Graphs. Journal of Mathematics No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1181363
American Medical Association (AMA)
Cui, Lihong& Wu, Qiaoyun& Liu, Jiale& Sun, Jianjun. Dual Wavelet Frame Transforms on Manifolds and Graphs. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1181363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181363