Wavelet transform and diffusion equations: applications to the processing of the "Cassini" spacecraft observations
Astrophysics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We 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.
Cite
@article{arxiv.astro-ph/0502375,
title = {Wavelet transform and diffusion equations: applications to the processing of the "Cassini" spacecraft observations},
author = {E. B. Postnikov and A. Loskutov},
journal= {arXiv preprint arXiv:astro-ph/0502375},
year = {2007}
}