  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.
