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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2008/v9r111.html
Дата изменения: Sat Mar 15 14:04:38 2008 Дата индексирования: Mon Oct 1 22:42:52 2012 Кодировка: |
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"The representation of a wavelet transform of the Gaussian family
by a superposition of solutions to partial differential equations" Postnikov E.B. |
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The usage of partial differential equations for the evaluation of a wavelet transform with real and complex wavelets and with vanishing higher moments is considered. Contrary to the case of the transform with the standard Morlet wavelet, the sought-for transform can be found as a superposition of solutions to several Cauchy problems with various initial values. These initial values are the products of a transformed function with some power functions whose exponents vary from zero to the maximal number of a vanishing moment.
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| Postnikov E.B. e-mail: postnicov@gmail.com |