The lifting scheme: A custom-design construction of biorthogonal wavelets
The lifting scheme: A custom-design construction of biorthogonal wavelets
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DOI：
10.1006/acha.1996.0015
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发表时间：
1996-04-01
影响因子：
2.5
通讯作者：
Sweldens, W
中科院分区：
文献类型：
--
作者：
Sweldens, W
我们提出了提升方案，这是一种利用紧支对偶构造紧支小波的新思想。提升方案使用具有相同缩放函数的所有多分辨率分析之间的简单关系。它隔离了固定双正交关系后剩余的自由度。然后，人们可以完全控制这些自由度，为特定应用定制设计小波。提升方案还可以加速快速小波变换。我们说明了提升方案在具有插值缩放函数的小波构造中的使用。 (C) 1996 学术出版社
We present the lifting scheme, a new idea for constructing compactly supported wavelets with compactly supported duals. The lifting scheme uses a simple relationship between all multiresolution analyses with the same scaling function. It isolates the degrees of freedom remaining after fixing the biorthogonality relations. Then one has full control over these degrees of freedom to custom design the wavelet for a particular application. The lifting scheme can also speed up the fast wavelet transform. We illustrate the use of the lifting scheme in the construction of wavelets with interpolating scaling functions. (C) 1996 Academic Press, Inc.