Wavelet transform and diffusion equations: applications to the processing of the "Cassini" spacecraft observations

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dc.creatorPostnikov, E. B.
dc.creatorLoskutov, A.
dc.date2005-02-18
dc.date.accessioned2026-07-07T02:17:01Z
dc.date.available2026-07-07T02:17:01Z
dc.descriptionWe show that continuous transform with the complex Morlet wavelet is easily performed if we replace the integration of the fast-oscillation function by the solution of the diffusion differential equations. The most important advantage of this approach is that the initial data can be represented by non-uniform sample of an arbitrary node number. We apply the proposed method to the processing of the image of the Saturn A-ring obtained from the Cassini spacecraft. Also we have got via the wavelet transform using PDE, the local correlation coefficient of the signal and the harmonic function.
dc.identifierhttps://arxiv.org/abs/astro-ph/0502375
dc.identifierhttp://arxiv.org/abs/astro-ph/0502375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/9015
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.titleWavelet transform and diffusion equations: applications to the processing of the "Cassini" spacecraft observations
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