Tight frame based method for high-resolution image reconstruction

Jianfeng CAI; Raymond CHAN; Lixin SHEN; Zuowei SHEN

doi:10.1142/9789814322874_0001

Tight frame based method for high-resolution image reconstruction

Jianfeng CAI, Raymond CHAN, Lixin SHEN, Zuowei SHEN

Research output: Book Chapters | Papers in Conference Proceedings › Book Chapter › Research › peer-review

2 Citations (Scopus)

Abstract

We give a comprehensive discussion on high-resolution image reconstruction based on a tight frame. We first present the tight frame filters arising from the problem of high-resolution image reconstruction and the associated matrix representation of the filters for various boundary extensions. We then propose three algorithms for high-resolution image reconstruction using the designed tight frame filters and show analytically the properties of these algorithms. Finally, we numerically illustrate the efficiency of the proposed algorithms for natural images.

Original language	English
Title of host publication	Wavelet Methods in Mathematical Analysis and Engineering
Editors	Alain DAMLAMIAN, Stéphane JAFFARD
Publisher	World Scientific Publishing Co.
Pages	1-36
Number of pages	36
Volume	14
ISBN (Electronic)	9789814322874
ISBN (Print)	9789814322867
DOIs	https://doi.org/10.1142/9789814322874_0001
Publication status	Published - Sept 2010
Externally published	Yes

Publication series

Name	Series in Contemporary Applied Mathematics
ISSN (Print)	2010-2259

Bibliographical note

Publisher Copyright:
© 2010 by Higher Education Press

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10.1142/9789814322874_0001

Cite this

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Tight frame based method for high-resolution image reconstruction. / CAI, Jianfeng; CHAN, Raymond; SHEN, Lixin et al.
Wavelet Methods in Mathematical Analysis and Engineering. ed. / Alain DAMLAMIAN; Stéphane JAFFARD. Vol. 14 World Scientific Publishing Co., 2010. p. 1-36 (Series in Contemporary Applied Mathematics).

Research output: Book Chapters | Papers in Conference Proceedings › Book Chapter › Research › peer-review

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AB - We give a comprehensive discussion on high-resolution image reconstruction based on a tight frame. We first present the tight frame filters arising from the problem of high-resolution image reconstruction and the associated matrix representation of the filters for various boundary extensions. We then propose three algorithms for high-resolution image reconstruction using the designed tight frame filters and show analytically the properties of these algorithms. Finally, we numerically illustrate the efficiency of the proposed algorithms for natural images.

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Tight frame based method for high-resolution image reconstruction

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