Tight frame based method for high-resolution image reconstruction

Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen

Research output: Chapter in Book/Entry/PoemChapter


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 languageEnglish (US)
Title of host publicationWavelet Methods in Mathematical Analysis and Engineering
PublisherWorld Scientific Publishing Co.
Number of pages36
ISBN (Electronic)9789814322874
StatePublished - Jan 1 2019

ASJC Scopus subject areas

  • General Mathematics


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