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<div class="title">QwtSpline Class Reference<span class="mlabels"><span class="mlabel">abstract</span></span></div> </div>
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<p>Base class for all splines.
<a href="class_qwt_spline.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="qwt__spline_8h_source.html">qwt_spline.h</a>&gt;</code></p>
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Inheritance diagram for QwtSpline:</div>
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Public Types</h2></td></tr>
<tr class="memitem:ad82b1f33946d2489511f5e697a32b128"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">BoundaryType</a> { <a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">ConditionalBoundaries</a>
, <a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">PeriodicPolygon</a>
, <a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">ClosedPolygon</a>
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<tr class="memitem:a21cca305dad4f1e21437953c4801595a"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a> { <a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">AtBeginning</a>
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}</td></tr>
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<tr class="memitem:af2195032fa62c2b9fe74dc4d44b636cb"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb">BoundaryCondition</a> { <a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">Clamped1</a>
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}</td></tr>
<tr class="memdesc:af2195032fa62c2b9fe74dc4d44b636cb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Boundary condition. <a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb">More...</a><br /></td></tr>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a5d1e0ba35c637a88c66d9e4cbaf36e93"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a5d1e0ba35c637a88c66d9e4cbaf36e93">QwtSpline</a> ()</td></tr>
<tr class="memdesc:a5d1e0ba35c637a88c66d9e4cbaf36e93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor. <a href="class_qwt_spline.html#a5d1e0ba35c637a88c66d9e4cbaf36e93">More...</a><br /></td></tr>
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virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a90805882826469c94fdc871f18261bb6">~QwtSpline</a> ()</td></tr>
<tr class="memdesc:a90805882826469c94fdc871f18261bb6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Destructor. <br /></td></tr>
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<tr class="memitem:afb4959b1db04dd021b0a49752b66fac3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#afb4959b1db04dd021b0a49752b66fac3">setParametrization</a> (int type)</td></tr>
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<tr class="memitem:a7d2dd1a36183afc5394ee6b39c09bc8c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a7d2dd1a36183afc5394ee6b39c09bc8c">setParametrization</a> (<a class="el" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a> *)</td></tr>
<tr class="separator:a7d2dd1a36183afc5394ee6b39c09bc8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6aa6f2c0b844e6a27284aa474c6bca7b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization</a> () const</td></tr>
<tr class="separator:a6aa6f2c0b844e6a27284aa474c6bca7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a48ddb960940cd1bd6d6707dd0ebb8785"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a48ddb960940cd1bd6d6707dd0ebb8785">setBoundaryType</a> (<a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">BoundaryType</a>)</td></tr>
<tr class="separator:a48ddb960940cd1bd6d6707dd0ebb8785"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7f5f43e9e83fd23210ac528802c0496d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">BoundaryType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a> () const</td></tr>
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<tr class="memitem:ac14c58e4301b85732c97a4daaf7a9b8b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">setBoundaryValue</a> (<a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>, double value)</td></tr>
<tr class="memdesc:ac14c58e4301b85732c97a4daaf7a9b8b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define the boundary value. <a href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">More...</a><br /></td></tr>
<tr class="separator:ac14c58e4301b85732c97a4daaf7a9b8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3a51db25eb5f3e4716fe172ae3ca35ec"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a> (<a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>) const</td></tr>
<tr class="separator:a3a51db25eb5f3e4716fe172ae3ca35ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6306d24451d24f16d30880b9114d3052"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">setBoundaryCondition</a> (<a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>, int condition)</td></tr>
<tr class="memdesc:a6306d24451d24f16d30880b9114d3052"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define the condition for an endpoint of the spline. <a href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">More...</a><br /></td></tr>
<tr class="separator:a6306d24451d24f16d30880b9114d3052"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a77de5f694c70a7c0b34a02c04093fcee"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a> (<a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>) const</td></tr>
<tr class="separator:a77de5f694c70a7c0b34a02c04093fcee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa890bace9e318d1bff4fb03ed7d6e9c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#aa890bace9e318d1bff4fb03ed7d6e9c3">setBoundaryConditions</a> (int condition, double valueBegin=0.0, double valueEnd=0.0)</td></tr>
<tr class="memdesc:aa890bace9e318d1bff4fb03ed7d6e9c3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define the condition at the endpoints of a spline. <a href="class_qwt_spline.html#aa890bace9e318d1bff4fb03ed7d6e9c3">More...</a><br /></td></tr>
<tr class="separator:aa890bace9e318d1bff4fb03ed7d6e9c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa2debc778d58c5f53ab757c87f8ac21d"><td class="memItemLeft" align="right" valign="top">virtual QPolygonF&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#aa2debc778d58c5f53ab757c87f8ac21d">polygon</a> (const QPolygonF &amp;, double tolerance) const</td></tr>
<tr class="memdesc:aa2debc778d58c5f53ab757c87f8ac21d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Interpolate a curve by a polygon. <a href="class_qwt_spline.html#aa2debc778d58c5f53ab757c87f8ac21d">More...</a><br /></td></tr>
<tr class="separator:aa2debc778d58c5f53ab757c87f8ac21d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34c5ddda039f15ec71de0523d9753b64"><td class="memItemLeft" align="right" valign="top">virtual QPainterPath&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a34c5ddda039f15ec71de0523d9753b64">painterPath</a> (const QPolygonF &amp;) const =0</td></tr>
<tr class="separator:a34c5ddda039f15ec71de0523d9753b64"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8530fa87bf65a42492014b50614d0595"><td class="memItemLeft" align="right" valign="top">virtual uint&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline.html#a8530fa87bf65a42492014b50614d0595">locality</a> () const</td></tr>
<tr class="separator:a8530fa87bf65a42492014b50614d0595"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Base class for all splines. </p>
<p>A spline is a curve represented by a sequence of polynomials. Spline approximation is the process of finding polynomials for a given set of points. When the algorithm preserves the initial points it is called interpolating.</p>
<p>Splines can be classified according to conditions of the polynomials that are met at the start/endpoints of the pieces:</p>
<ul>
<li>Geometric Continuity<ul>
<li>G0: polynomials are joined</li>
<li>G1: first derivatives are proportional at the join point The curve tangents thus have the same direction, but not necessarily the same magnitude. i.e., C1'(1) = (a,b,c) and C2'(0) = (k*a, k*b, k*c).</li>
<li>G2: first and second derivatives are proportional at join point</li>
</ul>
</li>
<li>Parametric Continuity<ul>
<li>C0: curves are joined</li>
<li>C1: first derivatives equal</li>
<li>C2: first and second derivatives are equal</li>
</ul>
</li>
</ul>
<p>Geometric continuity requires the geometry to be continuous, while parametric continuity requires that the underlying parameterization be continuous as well. Parametric continuity of order n implies geometric continuity of order n, but not vice-versa.</p>
<p><a class="el" href="class_qwt_spline.html" title="Base class for all splines.">QwtSpline</a> is the base class for spline approximations of any continuity. </p>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8h_source.html#l00057">57</a> of file <a class="el" href="qwt__spline_8h_source.html">qwt_spline.h</a>.</p>
</div><h2 class="groupheader">Member Enumeration Documentation</h2>
<a id="af2195032fa62c2b9fe74dc4d44b636cb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af2195032fa62c2b9fe74dc4d44b636cb">&#9670;&nbsp;</a></span>BoundaryCondition</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">enum <a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb">QwtSpline::BoundaryCondition</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>Boundary condition. </p>
<p>A spline algorithm calculates polynomials by looking a couple of points back/ahead ( <a class="el" href="class_qwt_spline.html#a8530fa87bf65a42492014b50614d0595">locality()</a> ). At the ends additional rules are necessary to compensate the missing points.</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition()</a>, <a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a> </dd>
<dd>
<a class="el" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632af">QwtSplineC2::BoundaryConditionC2</a> </dd></dl>
<table class="fieldtable">
<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028"></a>Clamped1&#160;</td><td class="fielddoc"><p>The first derivative at the end point is given </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a> </dd></dl>
</td></tr>
<tr><td class="fieldname"><a id="af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe"></a>Clamped2&#160;</td><td class="fielddoc"><p>The second derivative at the end point is given</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>a condition having a second derivative of 0 is also called "natural". </dd></dl>
</td></tr>
<tr><td class="fieldname"><a id="af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3"></a>Clamped3&#160;</td><td class="fielddoc"><p>The third derivative at the end point is given</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a> </dd></dl>
<dl class="section note"><dt>Note</dt><dd>a condition having a third derivative of 0 is also called "parabolic runout". </dd></dl>
</td></tr>
<tr><td class="fieldname"><a id="af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a"></a>LinearRunout&#160;</td><td class="fielddoc"><p>The first derivate at the endpoint is related to the first derivative at its neighbour by the boundary value. F,e when the boundary value at the end is 1.0 then the slope at the last 2 points is the same.</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a>. </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline_8h_source.html#l00119">119</a> of file <a class="el" href="qwt__spline_8h_source.html">qwt_spline.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a21cca305dad4f1e21437953c4801595a">&#9670;&nbsp;</a></span>BoundaryPosition</h2>
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<td class="memname">enum <a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">QwtSpline::BoundaryPosition</a></td>
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<p>position of a boundary condition </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition()</a>, <a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a> </dd></dl>
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024"></a>AtBeginning&#160;</td><td class="fielddoc"><p>the condition is at the beginning of the polynomial </p>
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<tr><td class="fieldname"><a id="a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55"></a>AtEnd&#160;</td><td class="fielddoc"><p>the condition is at the end of the polynomial </p>
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<p class="definition">Definition at line <a class="el" href="qwt__spline_8h_source.html#l00099">99</a> of file <a class="el" href="qwt__spline_8h_source.html">qwt_spline.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad82b1f33946d2489511f5e697a32b128">&#9670;&nbsp;</a></span>BoundaryType</h2>
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<td class="memname">enum <a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a></td>
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<p>Boundary type specifying the spline at its endpoints</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a48ddb960940cd1bd6d6707dd0ebb8785">setBoundaryType()</a>, <a class="el" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType()</a> </dd></dl>
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711"></a>ConditionalBoundaries&#160;</td><td class="fielddoc"><p>The polynomials at the start/endpoint depend on specific conditions</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb" title="Boundary condition.">QwtSpline::BoundaryCondition</a> </dd></dl>
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<tr><td class="fieldname"><a id="ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171"></a>PeriodicPolygon&#160;</td><td class="fielddoc"><p>The polynomials at the start/endpoint are found by using imaginary additional points. Additional points at the end are found by translating points from the beginning or v.v. </p>
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<tr><td class="fieldname"><a id="ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1"></a>ClosedPolygon&#160;</td><td class="fielddoc"><p>ClosedPolygon is similar to PeriodicPolygon beside, that the interpolation includes the connection between the last and the first control point.</p>
<dl class="section note"><dt>Note</dt><dd>Only works for parametrizations, where the parameter increment for the the final closing line is positive. This excludes <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48da3eaba94a692d4e23a0714db3288a6a24">QwtSplineParametrization::ParameterX</a> and <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48da30edbcab5070b1f54d7e6d2486cb7ccf">QwtSplineParametrization::ParameterY</a> </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline_8h_source.html#l00065">65</a> of file <a class="el" href="qwt__spline_8h_source.html">qwt_spline.h</a>.</p>
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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a5d1e0ba35c637a88c66d9e4cbaf36e93">&#9670;&nbsp;</a></span>QwtSpline()</h2>
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<p>Constructor. </p>
<p>The default setting is a non closing spline with chordal parametrization</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#afb4959b1db04dd021b0a49752b66fac3">setParametrization()</a>, <a class="el" href="class_qwt_spline.html#a48ddb960940cd1bd6d6707dd0ebb8785">setBoundaryType()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00540">540</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a77de5f694c70a7c0b34a02c04093fcee">&#9670;&nbsp;</a></span>boundaryCondition()</h2>
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<td class="memname">int QwtSpline::boundaryCondition </td>
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<td class="paramtype"><a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>&#160;</td>
<td class="paramname"><em>position</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>Condition for an endpoint of the spline </dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">position</td><td>At the beginning or the end of the spline</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052" title="Define the condition for an endpoint of the spline.">setBoundaryCondition()</a>, <a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a>, <a class="el" href="class_qwt_spline.html#aa890bace9e318d1bff4fb03ed7d6e9c3" title="Define the condition at the endpoints of a spline.">setBoundaryConditions()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00651">651</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7f5f43e9e83fd23210ac528802c0496d">&#9670;&nbsp;</a></span>boundaryType()</h2>
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<td class="memname"><a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a> QwtSpline::boundaryType </td>
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<dl class="section return"><dt>Returns</dt><dd>Boundary type </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a48ddb960940cd1bd6d6707dd0ebb8785">setBoundaryType()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00626">626</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3a51db25eb5f3e4716fe172ae3ca35ec">&#9670;&nbsp;</a></span>boundaryValue()</h2>
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<td class="memname">double QwtSpline::boundaryValue </td>
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<td class="paramtype"><a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>&#160;</td>
<td class="paramname"><em>position</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>Boundary value </dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">position</td><td>At the beginning or the end of the spline</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b" title="Define the boundary value.">setBoundaryValue()</a>, <a class="el" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00682">682</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8530fa87bf65a42492014b50614d0595">&#9670;&nbsp;</a></span>locality()</h2>
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<p>The locality of an spline interpolation identifies how many adjacent polynomials are affected, when changing the position of one point.</p>
<p>A locality of 'n' means, that changing the coordinates of a point has an effect on 'n' leading and 'n' following polynomials. Those polynomials can be calculated from a local subpolygon.</p>
<p>A value of 0 means, that the interpolation is not local and any modification of the polygon requires to recalculate all polynomials ( f.e cubic splines ).</p>
<dl class="section return"><dt>Returns</dt><dd>Order of locality </dd></dl>
<p>Reimplemented in <a class="el" href="class_qwt_spline_pleasing.html#a043b399092e1a9db96b799299cdd251f">QwtSplinePleasing</a>, <a class="el" href="class_qwt_spline_local.html#a76371196a0f089b7aaebafb691bbd7ce">QwtSplineLocal</a>, <a class="el" href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c">QwtSplineCubic</a>, and <a class="el" href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db">QwtSplineBasis</a>.</p>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00564">564</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a34c5ddda039f15ec71de0523d9753b64">&#9670;&nbsp;</a></span>painterPath()</h2>
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<td class="memname">QPainterPath QwtSpline::painterPath </td>
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<p>Approximates a polygon piecewise with cubic Bezier curves and returns them as QPainterPath.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>Painter path, that can be rendered by QPainter</dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#aa2debc778d58c5f53ab757c87f8ac21d" title="Interpolate a curve by a polygon.">polygon()</a>, <a class="el" href="class_qwt_bezier.html" title="An implementation of the de Casteljau’s Algorithm for interpolating Bézier curves.">QwtBezier</a> </dd></dl>
<p>Implemented in <a class="el" href="class_qwt_spline_pleasing.html#a7ef72f97809dfc36f39640ce8398eb89">QwtSplinePleasing</a>, <a class="el" href="class_qwt_spline_local.html#aaf946d9c3fce948f4cab2d950b13c16a">QwtSplineLocal</a>, <a class="el" href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24">QwtSplineCubic</a>, <a class="el" href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b">QwtSplineBasis</a>, <a class="el" href="class_qwt_spline_c2.html#aff09e99a775253f1c37546f5d3a82428">QwtSplineC2</a>, <a class="el" href="class_qwt_spline_c1.html#a79a63604fbbdc82dc2d39ecc4e32df80">QwtSplineC1</a>, and <a class="el" href="class_qwt_spline_interpolating.html#ae9eb4c8b6c5257a44f918c30d36860e4">QwtSplineInterpolating</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a6aa6f2c0b844e6a27284aa474c6bca7b">&#9670;&nbsp;</a></span>parametrization()</h2>
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<td class="memname">const <a class="el" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a> * QwtSpline::parametrization </td>
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<dl class="section return"><dt>Returns</dt><dd>parametrization </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#afb4959b1db04dd021b0a49752b66fac3">setParametrization()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00605">605</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa2debc778d58c5f53ab757c87f8ac21d">&#9670;&nbsp;</a></span>polygon()</h2>
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<p>Interpolate a curve by a polygon. </p>
<p>Interpolates a polygon piecewise with Bezier curves interpolating them in a 2nd pass by polygons.</p>
<p>The interpolation is based on "Piecewise Linear Approximation of Bézier Curves" by Roger Willcocks ( <a href="http://www.rops.org">http://www.rops.org</a> )</p>
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<tr><td class="paramname">tolerance</td><td>Maximum for the accepted error of the approximation</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>polygon approximating the interpolating polynomials</dd></dl>
<dl class="section see"><dt>See also</dt><dd>bezierControlLines(), <a class="el" href="class_qwt_bezier.html" title="An implementation of the de Casteljau’s Algorithm for interpolating Bézier curves.">QwtBezier</a> </dd></dl>
<p>Reimplemented in <a class="el" href="class_qwt_spline_interpolating.html#ab7ae76bbd1a085a267cdd54353ece2c2">QwtSplineInterpolating</a>.</p>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00496">496</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a6306d24451d24f16d30880b9114d3052">&#9670;&nbsp;</a></span>setBoundaryCondition()</h2>
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<td class="memname">void QwtSpline::setBoundaryCondition </td>
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<p>Define the condition for an endpoint of the spline. </p>
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<tr><td class="paramname">position</td><td>At the beginning or the end of the spline </td></tr>
<tr><td class="paramname">condition</td><td>Condition</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb" title="Boundary condition.">BoundaryCondition</a>, <a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb" title="Boundary condition.">QwtSplineC2::BoundaryCondition</a>, <a class="el" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00639">639</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa890bace9e318d1bff4fb03ed7d6e9c3">&#9670;&nbsp;</a></span>setBoundaryConditions()</h2>
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<p>Define the condition at the endpoints of a spline. </p>
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<tr><td class="paramname">condition</td><td>Condition </td></tr>
<tr><td class="paramname">valueBegin</td><td>Used for the condition at the beginning of te spline </td></tr>
<tr><td class="paramname">valueEnd</td><td>Used for the condition at the end of te spline</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb" title="Boundary condition.">BoundaryCondition</a>, <a class="el" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cb" title="Boundary condition.">QwtSplineC2::BoundaryCondition</a>, testBoundaryCondition(), <a class="el" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b" title="Define the boundary value.">setBoundaryValue()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00700">700</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a48ddb960940cd1bd6d6707dd0ebb8785">&#9670;&nbsp;</a></span>setBoundaryType()</h2>
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<td class="memname">void QwtSpline::setBoundaryType </td>
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<td class="paramtype"><a class="el" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">BoundaryType</a>&#160;</td>
<td class="paramname"><em>boundaryType</em></td><td>)</td>
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<p>Define the boundary type for the endpoints of the approximating spline.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">boundaryType</td><td>Boundary type </td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00617">617</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac14c58e4301b85732c97a4daaf7a9b8b">&#9670;&nbsp;</a></span>setBoundaryValue()</h2>
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<td class="memname">void QwtSpline::setBoundaryValue </td>
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<td class="paramtype"><a class="el" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595a">BoundaryPosition</a>&#160;</td>
<td class="paramname"><em>position</em>, </td>
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<p>Define the boundary value. </p>
<p>The boundary value is an parameter used in combination with the boundary condition. Its meaning depends on the condition.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">position</td><td>At the beginning or the end of the spline </td></tr>
<tr><td class="paramname">value</td><td>Value used for the condition at the end point</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue()</a>, <a class="el" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052" title="Define the condition for an endpoint of the spline.">setBoundaryCondition()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00670">670</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#afb4959b1db04dd021b0a49752b66fac3">&#9670;&nbsp;</a></span>setParametrization() <span class="overload">[1/2]</span></h2>
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<td class="memname">void QwtSpline::setParametrization </td>
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<p>Define the parametrization for a parametric spline approximation The default setting is a chordal parametrization.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">type</td><td>Type of parametrization, usually one of <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48d" title="Parametrization type.">QwtSplineParametrization::Type</a> </td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00576">576</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7d2dd1a36183afc5394ee6b39c09bc8c">&#9670;&nbsp;</a></span>setParametrization() <span class="overload">[2/2]</span></h2>
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<td class="memname">void QwtSpline::setParametrization </td>
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<td class="paramtype"><a class="el" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a> *&#160;</td>
<td class="paramname"><em>parametrization</em></td><td>)</td>
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<p>Define the parametrization for a parametric spline approximation The default setting is a chordal parametrization.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">parametrization</td><td>Parametrization </td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization()</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="qwt__spline_8cpp_source.html#l00592">592</a> of file <a class="el" href="qwt__spline_8cpp_source.html">qwt_spline.cpp</a>.</p>
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