基于提升框架的整數(shù)小波變換
Wavelet Transforms that Map Integers to Integers Based on Lifting Scheme
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摘要: 提升框架可以從一個新的角度來構(gòu)造小波濾波器，它的核心是確定預(yù)測算子和更新算子。該文 引進了多項式局部擬合方法來求取預(yù)測算子和更新算子，對每步提升下取整,就實現(xiàn)了整數(shù)小波變換。仿真結(jié)果表明，該方法應(yīng)用于二維數(shù)字圖像，在一定失真的前提下，具有較高的壓縮比，而且小波系數(shù)與尺度系數(shù)都是整數(shù)，不需要量化步驟。因此，它對于整數(shù)數(shù)據(jù)壓縮具有重要的意義。
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關(guān)鍵詞:
- 提升框架; 整數(shù)小波變換; 預(yù)測算子; 更新算子
Abstract: The lifting scheme is a new idea of constructing wavelet filters. Its key element is to find the predict operator and the update operator. The polynomial local regression is used to find these operators in the paper. These lifting steps take integers downwardly. Then the wavelet transforms that map integers to integers are realized. The algorithm is applied to two dimensions digital image processing, and the simulation indicates that compression ratio is high with allowable distortion. The scale coefficients and wavelet coefficients are integers, thus the quantification is not needed. This brings the sigiiifican importance of the proposed algorithm for integer data compression. -
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