TRAN1D/WAVE

TRAN1D/WAVE Im_In Wave_Out [Num_Trans] [Num_Line] [Channel] [Nu]

Computes the one dimensional wavelet transform of a spectrum or a line of an image. Im_In is the input image and Wave_Out is the output wavelet transform. The wavelet transform of a one dimensional signal is an image. Num_Trans is the wavelet transform chosen. 6 transforms are possible:

1.

French hat

2.

Mexican hat

3.

à trous algorithm with a linear scaling function

4.

à trous algorithm with a B1-spline scaling function

5.

à trous algorithm with a B3-spline scaling function

6.

Morlet's transform.

in case of Morlet's transform, the wavelet transform is complex. The modulus of the transform is stored in the first part of the output image, and the phase in the second part. Default value is 2. Num_Line is the line number in the input image which will be used (1 is the default value). Channel is the number of channels per octave (the default value is 12). This parameter is not used in the à-trous algorithm because à-trous algorithm is a diadic algorithm (1 channel per octave). Nu is the Morlet's parameter and is only used with Morlet's transform.