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.
|Title of host publication
|Wavelet Methods in Mathematical Analysis and Engineering
|World Scientific Publishing Co.
|Number of pages
|Published - Jan 1 2019
ASJC Scopus subject areas
- General Mathematics