% @(#)directwave.hlq	17.1.1.1 (ESO-IPG) 01/25/02 17:21:09
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%.COPYRIGHT  (c)  1993 European Southern Observatory
%.IDENT      directwave.hlq
%.AUTHOR     18-MAY-93, IPG/ESO
%.KEYWORDS   MIDAS, help files, 
%.PURPOSE    On-line help file for the command: DIRECT/WAVE
%.VERSION    1.0  JS : Creation, 18-MAY-93
%----------------------------------------------------------------
\se
SECTION./WAVE
\es\co
DIRECT/WAVE					   JS  18-MAY-93
\oc\su
DIRECT/WAVE  Image_In Psf Imag_Out [Nb_Scales] [G1,G2,G3,...]
\us\pu
Purpose:    
         Non-iterative deconvolution with a regularization in wavelet space. 
\up\sy
Syntax:     
         DIRECT/WAVE Image_In Psf Imag_Out [Nb_Scales] [g1,g2,g3,...]
\ys\pa
         Image_In = Name of the image I
\ap\pa
         Psf =      Name of the Point Spread Function P
\ap\pa
         Imag_Out = Name of the deconvolved output image
\ap\pa
         Nbr_Scale = Number of scales of the wavelet transform. default 4.
\ap\pa
         Gj =       regularization parameter at the scale j; Gj must be in 
                    the interval [0,1]\\
                    Generally Gj are chosen such that G1 is greater than G2, 
                    G2 is greater than  ... Gn  because the regularization 
                    has to be stronger on the high frequencies.
\ap\see
See also: 
         TRANSF/WAVE, LUCY/WAVE, GRAD/WAVE, CITTERT/WAVE
\ees\no
Note:       
         If G1 = G2 = .. = 0. then a Fourier quotient method is applied.
\\
         The method is not iterative and a solution can be obtained
         quickly. But the solution is not necessary positive, and
         optimal Gj are not easy to find. 
\on\exs
Examples:
\ex
         DIRECT/WAVE  Imag Psf Result ? 0.01,0.001,0.0001
         deconvolution with a regularization on three scales
\xe\ex
         DIRECT/WAVE Imag Psf Result ?  0.1,0.0
         deconvolution with a stronger regularization, but only on the two 
         first scales
\xe \sxe