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<?xml version="1.0" encoding="UTF-8"?>
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="smooth" xml:lang="en">
<refnamediv>
<refname>smooth</refname>
<refpurpose>smoothing by spline functions</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[pt]=smooth(ptd [,step])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>ptd</term>
<listitem>
<para>(2xn) real vector</para>
</listitem>
</varlistentry>
<varlistentry>
<term>step</term>
<listitem>
<para>real (discretization step of abscissae)</para>
</listitem>
</varlistentry>
<varlistentry>
<term>pt</term>
<listitem>
<para>(2xn) real vector</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>this function computes interpolation by spline functions for a given
set of points in the plane. The coordinates are
<literal>(ptd(1,i),ptd(2,i))</literal>. The components
<literal>ptd(1,:)</literal> must be in ascending order. The default value
for the step is
<literal>abs(max(ptd(1,:))-min(ptd(1,:)))/100</literal>
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
x=[1 10 20 30 40];
y=[1 30 -10 20 40];
plot2d(x',y',[3],"011"," ",[-10,-40,50,50]);
yi=smooth([x;y],0.1);
plot2d(yi(1,:)',yi(2,:)',[1],"000");
]]></programlisting>
<scilab:image>
x=[1 10 20 30 40];
y=[1 30 -10 20 40];
plot2d(x',y',[3],"011"," ",[-10,-40,50,50]);
yi=smooth([x;y],0.1);
plot2d(yi(1,:)',yi(2,:)',[1],"000");
</scilab:image>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="splin">splin</link>
</member>
<member>
<link linkend="interp">interp</link>
</member>
<member>
<link linkend="interpln">interpln</link>
</member>
</simplelist>
</refsection>
</refentry>
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