<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> <!--Converted with LaTeX2HTML 98.1p1 release (March 2nd, 1998) originally by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds * revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan * with significant contributions from: Jens Lippmann, Marek Rouchal, Martin Wilck and others --> <HTML> <HEAD> <TITLE>Introduction</TITLE> <META NAME="description" CONTENT="Introduction"> <META NAME="keywords" CONTENT="vol2"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> <META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1"> <LINK REL="STYLESHEET" HREF="vol2.css"> <LINK REL="next" HREF="node346.html"> <LINK REL="previous" HREF="node344.html"> <LINK REL="up" HREF="node344.html"> <LINK REL="next" HREF="node346.html"> </HEAD> <BODY > <!--Navigation Panel--> <A NAME="tex2html5761" HREF="node346.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="icons.gif/next_motif.gif"></A> <A NAME="tex2html5758" HREF="node344.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="icons.gif/up_motif.gif"></A> <A NAME="tex2html5752" HREF="node344.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="icons.gif/previous_motif.gif"></A> <A NAME="tex2html5760" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="icons.gif/contents_motif.gif"></A> <BR> <B> Next:</B> <A NAME="tex2html5762" HREF="node346.html">Commands Description</A> <B> Up:</B> <A NAME="tex2html5759" HREF="node344.html">The wavelet context in</A> <B> Previous:</B> <A NAME="tex2html5753" HREF="node344.html">The wavelet context in</A> <BR> <BR> <!--End of Navigation Panel--> <H2><A NAME="SECTION002091000000000000000"> Introduction</A> </H2> A wavelet package concerning two dimensional imaging has been implemented in MIDAS. This package contains several wavelet transform algorithms, specific tools for the wavelet transform, visualisation commands, and three applications of the use of the wavelet transform: filtering, comparison, and deconvolution. These commands can be called if the wavelet context has been initialized by: <DIV ALIGN="CENTER"> set/context wavelet </DIV> Table <A HREF="node345.html#tab_command">14.1</A> shows the available commands. <P> <BR> <DIV ALIGN="CENTER"><A NAME="15444"> </A> <TABLE> <CAPTION><STRONG>Table 14.1:</STRONG> Midas commands</CAPTION> <TR><TD> <DIV ALIGN="CENTER"><TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER"> <TR><TD ALIGN="LEFT">Commands</TD> <TD ALIGN="LEFT">Description</TD> </TR> <TR><TD ALIGN="LEFT">TRANSF/WAVE</TD> <TD ALIGN="LEFT">Image Wavelet [Algo] [Nbr_Scale] [Fc]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">creates the wavelet transform of an image</TD> </TR> <TR><TD ALIGN="LEFT">RECONS/WAVE</TD> <TD ALIGN="LEFT">Wavelet Rec_Image</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">reconstructs an image from its wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">HEADER/WAVE</TD> <TD ALIGN="LEFT">Wavelet</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">gives information about a wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">INFO/WAVE</TD> <TD ALIGN="LEFT">Wavelet</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">gives information about each scale of a wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">EXTRAC/WAVE</TD> <TD ALIGN="LEFT">Wavelet Image_Out Scale_Number</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">creates an image from a scale of the wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">ENTER/WAVE</TD> <TD ALIGN="LEFT">Wavelet_in Image_in Scale_Number Wavelet_out</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">replaces a scale of a wavelet transform by an image</TD> </TR> <TR><TD ALIGN="LEFT">VISUAL/WAVE</TD> <TD ALIGN="LEFT">Wavelet [Visu_Type]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">visualizes a wavelet transform with default parameters</TD> </TR> <TR><TD ALIGN="LEFT">VISUAL/CUBE</TD> <TD ALIGN="LEFT">Wavelet [output_file] [Disp] [Visu_Mode] [Display]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">visualizes a wavelet transform in a cube</TD> </TR> <TR><TD ALIGN="LEFT">VISUAL/CONT</TD> <TD ALIGN="LEFT">Wavelet [Graphic_Number] [Visu_Mode] [Contour_Level]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">visualizes the contours of a wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">VISUAL/SYNT</TD> <TD ALIGN="LEFT">Wavelet [output_file] [Display_Number] [Display]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">creates a visualization image from a wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">VISUAL/PLAN</TD> <TD ALIGN="LEFT">Wavelet [Display]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">display each scale of the wavelet transform in a window</TD> </TR> <TR><TD ALIGN="LEFT">VISUAL/PERS</TD> <TD ALIGN="LEFT">Wavelet [out_file] [Disp_N] [Visu_Mode] [Incr] [Thres] [Display]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">visualizes in perpsective a wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">FILTER/WAVE</TD> <TD ALIGN="LEFT">I_In I_Out [Algo] [T_Filter] [Iter_Nbr] [N_Scale] [N_Sigma] [Noise]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">filters an image by using the wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">COMPAR/WAVE</TD> <TD ALIGN="LEFT">Imag_1 Imag_2 [N_Scal] [N_Sigma] [T_Cor] [T_Snr] [Disp] [Init]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">compares two images in the wavelet space</TD> </TR> <TR><TD ALIGN="LEFT">PLOT/SNR</TD> <TD ALIGN="LEFT">Tab_Snr</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">plots the SNR table resulting from the comparison</TD> </TR> <TR><TD ALIGN="LEFT">PLOT/COR</TD> <TD ALIGN="LEFT">Tab_Correl</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">plots the correlation resulting from the comparison</TD> </TR> <TR><TD ALIGN="LEFT">TUTORIAL/WAVE</TD> <TD ALIGN="LEFT">visualizes the wavelet transform of the galaxy NGC2997</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">with several algorithms</TD> </TR> <TR><TD ALIGN="LEFT">DIRECT/WAVE</TD> <TD ALIGN="LEFT">Imag_In Psf Imag_Out [Nb_Scales] [<IMG WIDTH="27" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" SRC="img868.gif" ALT="$\gamma_1$">,<IMG WIDTH="26" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" SRC="img869.gif" ALT="$\gamma_2$">,<IMG WIDTH="27" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" SRC="img870.gif" ALT="$\gamma_3$">,...]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">deconvolution with a multiresolution Tichonov's Regularisation</TD> </TR> <TR><TD ALIGN="LEFT">CITTERT/WAVE</TD> <TD ALIGN="LEFT">Im_In Psf Im_Out [Resi] [Scal, Iter] [N_Sig, Noise] [Eps] [Fwhm]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">deconvolution by the regularized Van Cittert's algorithm</TD> </TR> <TR><TD ALIGN="LEFT">GRAD/WAVE</TD> <TD ALIGN="LEFT">Im_In Psf Im_Out [Resi] [Nb_Scales] [N_Sigma, Noise] [Eps] [Max_Iter]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">deconvolution by the regularized one-step gradient algorithm</TD> </TR> <TR><TD ALIGN="LEFT">LUCY/WAVE</TD> <TD ALIGN="LEFT">Im_In Psf Im_Out [Resi] [Nb_Scales] [N_Sigma, Noise] [Eps] [Max_Iter]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">deconvolution by the regularized Lucy's algorithm</TD> </TR> <TR><TD ALIGN="LEFT">TRAN1D/WAVE</TD> <TD ALIGN="LEFT">Im_In Wave_Out [Num_Trans] [Num_Line] [Channel] [Nu]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">one dimensional wavelet transform</TD> </TR> <TR><TD ALIGN="LEFT">REC1D/WAVE</TD> <TD ALIGN="LEFT">Wave_in Im_out [Num_Trans] [Channel] [Nu0]</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">reconstructs a 1D signal from its wavelet transform</TD> </TR> </TABLE></DIV> <A NAME="tab_command"> </A></TD></TR> </TABLE> </DIV> <BR> <P> <HR> <!--Navigation Panel--> <A NAME="tex2html5761" HREF="node346.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="icons.gif/next_motif.gif"></A> <A NAME="tex2html5758" HREF="node344.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="icons.gif/up_motif.gif"></A> <A NAME="tex2html5752" HREF="node344.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="icons.gif/previous_motif.gif"></A> <A NAME="tex2html5760" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="icons.gif/contents_motif.gif"></A> <BR> <B> Next:</B> <A NAME="tex2html5762" HREF="node346.html">Commands Description</A> <B> Up:</B> <A NAME="tex2html5759" HREF="node344.html">The wavelet context in</A> <B> Previous:</B> <A NAME="tex2html5753" HREF="node344.html">The wavelet context in</A> <!--End of Navigation Panel--> <ADDRESS> <I>Petra Nass</I> <BR><I>1999-06-15</I> </ADDRESS> </BODY> </HTML>
