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<H1><A NAME="SECTION002050000000000000000"> </A>
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Visualization of the Wavelet Transform
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<DIV ALIGN="CENTER"><A NAME="fig_galaxy"> </A><A NAME="14873"> </A>
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<CAPTION><STRONG>Figure 14.12:</STRONG>
Galaxy NGC2297</CAPTION>
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WIDTH="618" HEIGHT="634"
SRC="img755.gif"
ALT="\begin{figure}
\centerline{
\hbox{
\psfig{figure=fig_galaxy.ps,bbllx=2cm,bblly=9.5cm,bburx=19cm,bbury=26cm,height=9cm,width=9cm,clip=}
}}
\end{figure}"></TD></TR>
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<P>
We have seen that the wavelet transform furnishes a number of data
which depends on the algorithm used. We distinguish three classes of
algorithms:
<UL>
<LI>those which do not reduce the sampling. The number of wavelet
coefficients is equal to the number of pixels of the image multiplied
by the number of scales. This is the case if we use the <EM>à
trous</EM> algorithm.
<LI>those which furnish a pyramidal set of data
<LI>those which furnish an image
</UL>In the following, we present how the galaxy (figure <A HREF="node324.html#fig_galaxy">14.12</A>)
can be represented in the wavelet space.
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<LI><A NAME="tex2html5497"
HREF="node325.html">Visualisation of the first class</A>
<LI><A NAME="tex2html5498"
HREF="node326.html">Visualisation of the second class</A>
<LI><A NAME="tex2html5499"
HREF="node327.html">Visualisation of the third class</A>
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<ADDRESS>
<I>Petra Nass</I>
<BR><I>1999-06-15</I>
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