本篇論文提出一種基於小波提升機制的影像插補法，並使用多項式迴歸以進一步提升影像插補的品質。基於離散小波轉換後的低頻係數，此篇論文提出預測型的演算法，以預測原始影像經整數小波轉換後的高頻係數，得以將小波轉換後的低頻影像重建為原始影像，以達到影像插補的目的。為了進一步改進重建影像的品質，本研究更使用多項式迴歸建立真實小波高頻係數和預測小波高頻係數間的線性關係，並運用此線性關係得到更好的預測結果。經由實驗結果顯示，本篇論文提出的使用多項式迴歸的預測型演算法表現比其他文獻所呈現的方法更有效率。

A floating-point wavelet-based and an integer wavelet-based image interpolations in lifting structures and polynomial curve fitting for image resolution enhancement are proposed in this thesis. The proposed prediction methods estimate high-frequency wavelet coefficients of the original image on the available low-frequency wavelet coefficients, so that the original image can be reconstructed by using the proposed prediction method. To further improve the reconstruction performance, we use polynomial curve fitting to build relationships between actual high-frequency wavelet coefficients and estimated high-frequency wavelet coefficients. Results of the proposed prediction algorithm for different wavelet transforms are compared to show the proposed prediction algorithm outperforms other methods.

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