TRANSF/WAVE Image Wavelet [Algo] [Nbr_Scale] [Fc]

This command creates a file which contains the wavelet transform. The
suffixe of a wavelet transform file is ``.wave''. It is automatically
added to the name passed to the command. Several algorithms are
proposed:
- 1.
*à trous*algorithm with a linear scaling function. The wavelet function is the difference between two resolutions (see 14.4.3).- 2.
*à trous*with a B3-spline scaling function (default value). The wavelet function is the difference between two resolutions (see 14.4.3).- 3.
- algorithm using the Fourier transform, without any reduction of the samples between two scales. The Fourier transform of the scaling function is a b3-spline and the wavelet function is the difference between two resolutions (14.4.5).
- 4.
- pyramidal algorithm in the direct space, with a linear scaling function (see section 14.4.4).
- 5.
- pyramidal algorithm in the direct space, with a b3-spline scaling function (see section 14.4.4).
- 6.
- algorithm using the Fourier transform with a reduction of the samples between two scales. The Fourier transform of the scaling function is a b3-spline the wavelet function is the difference between two resolutions (14.4.5).
- 7.
- algorithm using the Fourier transform with a reduction of the samples between two scales. The Fourier transform of the scaling function is a b3-spline. The wavelet function is the difference between the square of two resolutions (14.4.5).
- 8.
- Mallat's Algorithm with biorthogonal filters (14.4.2).

The parameter *Nbr_Scale* specifies the number of scales to compute.
The wavelet transform will contain
wavelet
coefficients planes and one plane which will be the image at a very
low resolution.
The parameter *Fc* defines the cut-off frequency of the scaling
function (
). It is used only if the selected
wavelet transform algorithm
uses the FFT.