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<title>GNU Scientific Library &ndash; Reference Manual: Basis Splines</title>

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<a name="Basis-Splines"></a>
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Next: <a href="Sparse-Matrices.html#Sparse-Matrices" accesskey="n" rel="next">Sparse Matrices</a>, Previous: <a href="Nonlinear-Least_002dSquares-Fitting.html#Nonlinear-Least_002dSquares-Fitting" accesskey="p" rel="previous">Nonlinear Least-Squares Fitting</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Basis-Splines-1"></a>
<h2 class="chapter">40 Basis Splines</h2>
<a name="index-basis-splines_002c-B_002dsplines"></a>
<a name="index-splines_002c-basis"></a>

<p>This chapter describes functions for the computation of smoothing
basis splines (B-splines). A smoothing spline differs from an
interpolating spline in that the resulting curve is not required to
pass through each datapoint.  See <a href="Interpolation.html#Interpolation">Interpolation</a>, for information
about interpolating splines.
</p>
<p>The header file <samp>gsl_bspline.h</samp> contains the prototypes for the
bspline functions and related declarations.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="Overview-of-B_002dsplines.html#Overview-of-B_002dsplines" accesskey="1">Overview of B-splines</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Initializing-the-B_002dsplines-solver.html#Initializing-the-B_002dsplines-solver" accesskey="2">Initializing the B-splines solver</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Constructing-the-knots-vector.html#Constructing-the-knots-vector" accesskey="3">Constructing the knots vector</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Evaluation-of-B_002dspline-basis-functions.html#Evaluation-of-B_002dspline-basis-functions" accesskey="4">Evaluation of B-spline basis functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Evaluation-of-B_002dspline-basis-function-derivatives.html#Evaluation-of-B_002dspline-basis-function-derivatives" accesskey="5">Evaluation of B-spline basis function derivatives</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Working-with-the-Greville-abscissae.html#Working-with-the-Greville-abscissae" accesskey="6">Working with the Greville abscissae</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Example-programs-for-B_002dsplines.html#Example-programs-for-B_002dsplines" accesskey="7">Example programs for B-splines</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="B_002dSpline-References-and-Further-Reading.html#B_002dSpline-References-and-Further-Reading" accesskey="8">B-Spline References and Further Reading</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
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