Tight frame based method for high-resolution image reconstruction

Jianfeng Cai; Raymond Chan; Lixin Shen; Zuowei Shen

Tight frame based method for high-resolution image reconstruction

Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen

Research output: Chapter in Book/Entry/Poem › Chapter

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 (US)
Title of host publication	Wavelet Methods in Mathematical Analysis and Engineering
Publisher	World Scientific Publishing Co.
Pages	1-36
Number of pages	36
ISBN (Electronic)	9789814322874
State	Published - Jan 1 2019

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Tight frame based method for high-resolution image reconstruction",

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.",

author = "Jianfeng Cai and Raymond Chan and Lixin Shen and Zuowei Shen",

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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

PB - World Scientific Publishing Co.

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Tight frame based method for high-resolution image reconstruction

Abstract

ASJC Scopus subject areas

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