% @(#)tran1dwave.hlq 17.1.1.1 (ESO-IPG) 01/25/02 17:21:10 %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ %.COPYRIGHT (c) 1993 European Southern Observatory %.IDENT tran1dwave.hlq %.AUTHOR 18-MAY-93, IPG/ESO %.KEYWORDS MIDAS, help files, %.PURPOSE On-line help file for the command: TRAN1D/WAVE %.VERSION 1.0 JS : Creation, 18-MAY-93 %---------------------------------------------------------------- \se SECTION./WAVE \es\co TRAN1D/WAVE JS 18-MAY-93 \oc\su TRAN1D/WAVE Im_In Wave_Out [Num_Trans] [Num_Line] [Channel] [Nu] \us\pu Purpose: one dimensional wavelet transform. Computess the wavelet transform of an image line. The wavelet transform is a two dimensional array. Each line of the output image represents a scale of the transform. \up\sy Syntax: TRAN1D/WAVE Im_In Wave_Out [Num_Trans] [Num_Line] [Channel] [Nu] \ys\pa Im_In = image input \ap\pa Wave_Out = wavelet transform. The wavelet transform of a 1D signal is an image. \ap\pa Num_Trans = wavelet transform chosen. 6 transform are possible: 1: french hat\\ 2: mexican hat\\ 3: a trous algorithm with a linear scaling function\\ 4: a trous algorithm with a B1-spline scaling function\\ 5: a trous algorithm with a B3-spline scaling function\\ 6: Morlet's transform\\ \\ In the 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. \ap\pa Num_Line= line number in the input image which will be used. 1 is the default value \ap\pa Channel = number of channel per octave; default value is 12. This parameter is not used in the a-trous algorithm because a-trous algorithm is a diadic algorithm (1 channel per octave) \ap\pa Nu = Morlet's parameter; only used with Morlet's transform \ap\see See also: REC1D/WAVE \ees\no Note: The number of scales of the tranform is automatically calculated. The number of lines of the output file gives the number of scales. A particular case is Morlet's transform where the number of scales is equal to the half of number of the output file lines number. \\ Since the result is an image, MIDAS visualisation tools can be used for the visualisatio, plot, ... \on\exs Examples: \ex TRAN1D/WAVE data transform computes the one-dimensional wavelet transform of the first line of the image "data" and stores the result in image "transform". The wavelet function is the mexican hat. \xe\sxe