Wavelet filtering with the Mellin transform
نویسندگان
چکیده
منابع مشابه
Wavelet Filtering with the Mellin Transform
It is shown that any convolution operator in the time domain can be represented exactly as a multiplication operator in the time-scale (wavelet) domain. The Mellin transform gives a one-to-one correspondence between frequency filters (system functions) and scale filters (multiplication operators in the scale domain), subject to the convergence of the defining integrals. The usual wavelet recons...
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Filtering noise, in real time, has applications in speech and image processing. Considerable interest has arisen in recent years regarding filtering in the wavelet transform domain. This technique has been effective in noise removal with minimum side effects on important features such as image details and edges. In this paper, the effectiveness of both soft and hard thresholding for desired det...
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The wavelet transform gives information in both spatial and frequency domains and is a very useful tool for describing the hierarchical structures. A new approach for filtering based on the wavelet transform is presented in this paper, and several algorithms are proposed . A criterion of quality, which takes into account the resolution, is used to compare these algorithms . We show that deconvo...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1996
ISSN: 0893-9659
DOI: 10.1016/0893-9659(96)00075-4