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.|
|Number of pages||36|
|State||Published - Jan 1 2019|
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