The Lifting Scheme: A Construction of Second Generation Wavelets 论文

1998SIAM Journal on Mathematical Analysis引用 2197
Image and Signal Denoising MethodsDigital Filter Design and ImplementationMathematical Analysis and Transform Methods

详细信息

发表期刊/会议
SIAM Journal on Mathematical Analysis
发表日期
1998-03-01
发表年份
1998

关键词

Image and Signal Denoising MethodsDigital Filter Design and ImplementationMathematical Analysis and Transform Methods

摘要

We present the lifting scheme, a simple construction of second generation wavelets; these are wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to a faster, in-place calculation of the wavelet transform. Several examples are included.