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Deconvolution with wavelets and vaguelettes

delete2000-05-12
delete6
PRE
AI
A
Anna C. Gilbert
W
Wolfgang Keller *
DOI：10.1007/s001900050288delete
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Abstract

Abstract

En 中文
The use of wavelets for the solution of convolution equations is studied as a possible alternative to the well-established Fast Fourier Transform (FFT) technique. Two possible solution strategies are investigated: (1) The use of wavelets for the representation of both the given data and the unknown solution. This leads to an algorithm with good de-noising and data-compression properties. In terms of computational efficiency this algorithm is inferior to FFT. (2) The use of wavelets for the representation of the unknown solution and of so-called vaguelettes for the representations of the given data. This leads to an algorithm which is even faster than FFT.
Keywords:
wavelets
vaguelette
Galerkin method
multiscale analysis
convolution equations
quadrature formula
Mallat algorithm

Journal

Journal of Geodesy cover
Journal of Geodesy
IF:
4
Papers:
2.4K
Citations:
7.6K

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No organization information available