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: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author) › 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
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	1-36
ISBN (Print)	9789814322874
DOIs	https://doi.org/10.1142/9789814322874_0001
Publication status	Published - 1 Jan 2019
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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AU - Shen, Zuowei

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N2 - 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.

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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BT - Wavelet Methods in Mathematical Analysis and Engineering

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ER -

Tight frame based method for high-resolution image reconstruction

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