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610 lines
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<a href="#pub-types">Public Types</a> |
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<a href="#pub-methods">Public Member Functions</a> |
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<a href="#pub-static-methods">Static Public Member Functions</a> |
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<p>Curve parametrization used for a spline interpolation.
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<a href="class_qwt_spline_parametrization.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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Public Types</h2></td></tr>
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<tr class="memitem:aa63256420483fa4981452127366cb48d"><td class="memItemLeft" align="right" valign="top">enum  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48d">Type</a> { <br />
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  <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48da3eaba94a692d4e23a0714db3288a6a24">ParameterX</a>
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, <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48da30edbcab5070b1f54d7e6d2486cb7ccf">ParameterY</a>
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, <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478">ParameterUniform</a>
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, <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48daf328ec1c9518bc5aaa9f648731f77ffd">ParameterChordal</a>
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, <br />
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  <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48da3127bf721ca3be4e279f9478ea12270c">ParameterCentripetal</a>
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, <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48da45063aa26a8cd803c4d2b75ee89ad449">ParameterManhattan</a>
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<br />
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}</td></tr>
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<tr class="memdesc:aa63256420483fa4981452127366cb48d"><td class="mdescLeft"> </td><td class="mdescRight">Parametrization type. <a href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48d">More...</a><br /></td></tr>
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<tr class="separator:aa63256420483fa4981452127366cb48d"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:a34f8c3b8585ac4d232606760a75620c3"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a34f8c3b8585ac4d232606760a75620c3">QwtSplineParametrization</a> (int <a class="el" href="class_qwt_spline_parametrization.html#a31d326035a02c9be9d7c558212903f99">type</a>)</td></tr>
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<tr class="separator:a34f8c3b8585ac4d232606760a75620c3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa2e15e920583f4762baf80374436e4cd"><td class="memItemLeft" align="right" valign="top"><a id="aa2e15e920583f4762baf80374436e4cd"></a>
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virtual </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#aa2e15e920583f4762baf80374436e4cd">~QwtSplineParametrization</a> ()</td></tr>
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<tr class="memdesc:aa2e15e920583f4762baf80374436e4cd"><td class="mdescLeft"> </td><td class="mdescRight">Destructor. <br /></td></tr>
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<tr class="separator:aa2e15e920583f4762baf80374436e4cd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a31d326035a02c9be9d7c558212903f99"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a31d326035a02c9be9d7c558212903f99">type</a> () const</td></tr>
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<tr class="separator:a31d326035a02c9be9d7c558212903f99"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5cd58cf9777799bec478ad524baa22f9"><td class="memItemLeft" align="right" valign="top">virtual double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a> (const QPointF &, const QPointF &) const</td></tr>
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<tr class="memdesc:a5cd58cf9777799bec478ad524baa22f9"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the parameter value increment for 2 points. <a href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">More...</a><br /></td></tr>
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<tr class="separator:a5cd58cf9777799bec478ad524baa22f9"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
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Static Public Member Functions</h2></td></tr>
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<tr class="memitem:a45e45f7ac6df2fbd6ec0bd6d52837e63"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a45e45f7ac6df2fbd6ec0bd6d52837e63">valueIncrementX</a> (const QPointF &, const QPointF &)</td></tr>
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<tr class="memdesc:a45e45f7ac6df2fbd6ec0bd6d52837e63"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the ParameterX value increment for 2 points. <a href="class_qwt_spline_parametrization.html#a45e45f7ac6df2fbd6ec0bd6d52837e63">More...</a><br /></td></tr>
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<tr class="separator:a45e45f7ac6df2fbd6ec0bd6d52837e63"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab5014b377c1f5f945cd7062109728d41"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#ab5014b377c1f5f945cd7062109728d41">valueIncrementY</a> (const QPointF &, const QPointF &)</td></tr>
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<tr class="memdesc:ab5014b377c1f5f945cd7062109728d41"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the ParameterY value increment for 2 points. <a href="class_qwt_spline_parametrization.html#ab5014b377c1f5f945cd7062109728d41">More...</a><br /></td></tr>
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<tr class="separator:ab5014b377c1f5f945cd7062109728d41"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4ec70cdb3d4c1b53628ef516e93390ec"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a4ec70cdb3d4c1b53628ef516e93390ec">valueIncrementUniform</a> (const QPointF &, const QPointF &)</td></tr>
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<tr class="memdesc:a4ec70cdb3d4c1b53628ef516e93390ec"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the ParameterUniform value increment. <a href="class_qwt_spline_parametrization.html#a4ec70cdb3d4c1b53628ef516e93390ec">More...</a><br /></td></tr>
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<tr class="separator:a4ec70cdb3d4c1b53628ef516e93390ec"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a02659178ea5377ec5e13d71858456200"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a02659178ea5377ec5e13d71858456200">valueIncrementChordal</a> (const QPointF &, const QPointF &)</td></tr>
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<tr class="memdesc:a02659178ea5377ec5e13d71858456200"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the ParameterChordal value increment for 2 points. <a href="class_qwt_spline_parametrization.html#a02659178ea5377ec5e13d71858456200">More...</a><br /></td></tr>
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<tr class="separator:a02659178ea5377ec5e13d71858456200"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a141e850c0e8da729dada0870041c265b"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#a141e850c0e8da729dada0870041c265b">valueIncrementCentripetal</a> (const QPointF &, const QPointF &)</td></tr>
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<tr class="memdesc:a141e850c0e8da729dada0870041c265b"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the ParameterCentripetal value increment for 2 points. <a href="class_qwt_spline_parametrization.html#a141e850c0e8da729dada0870041c265b">More...</a><br /></td></tr>
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<tr class="separator:a141e850c0e8da729dada0870041c265b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aacfc92b2d904b9644e1e0f4fc77fd7a2"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="class_qwt_spline_parametrization.html#aacfc92b2d904b9644e1e0f4fc77fd7a2">valueIncrementManhattan</a> (const QPointF &, const QPointF &)</td></tr>
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<tr class="memdesc:aacfc92b2d904b9644e1e0f4fc77fd7a2"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the ParameterManhattan value increment for 2 points. <a href="class_qwt_spline_parametrization.html#aacfc92b2d904b9644e1e0f4fc77fd7a2">More...</a><br /></td></tr>
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<tr class="separator:aacfc92b2d904b9644e1e0f4fc77fd7a2"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Curve parametrization used for a spline interpolation. </p>
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<p>Parametrization is the process of finding a parameter value for each curve point - usually related to some physical quantity ( distance, time ... ).</p>
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<p>Often accumulating the curve length is the intended way of parametrization, but as the interpolated curve is not known in advance an approximation needs to be used.</p>
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<p>The values are calculated by cumulating increments, that are provided by <a class="el" href="class_qwt_spline_parametrization.html" title="Curve parametrization used for a spline interpolation.">QwtSplineParametrization</a>. As the curve parameters need to be montonically increasing, each increment need to be positive.</p>
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<ul>
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<li>t[0] = 0;</li>
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<li>t[i] = t[i-1] + valueIncrement( point[i-1], p[i] );</li>
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</ul>
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<p><a class="el" href="class_qwt_spline_parametrization.html" title="Curve parametrization used for a spline interpolation.">QwtSplineParametrization</a> provides the most common used type of parametrizations and offers an interface to inject custom implementations.</p>
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<dl class="section note"><dt>Note</dt><dd>The most relevant types of parametrization are trying to provide an approximation of the curve length.</dd></dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline.html#afb4959b1db04dd021b0a49752b66fac3">QwtSpline::setParametrization()</a> </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00044">44</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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</div><h2 class="groupheader">Member Enumeration Documentation</h2>
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<a id="aa63256420483fa4981452127366cb48d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aa63256420483fa4981452127366cb48d">◆ </a></span>Type</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">enum <a class="el" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48d">QwtSplineParametrization::Type</a></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Parametrization type. </p>
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<table class="fieldtable">
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<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="aa63256420483fa4981452127366cb48da3eaba94a692d4e23a0714db3288a6a24"></a>ParameterX </td><td class="fielddoc"><p>No parametrization: t[i] = x[i] </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#a45e45f7ac6df2fbd6ec0bd6d52837e63" title="Calculate the ParameterX value increment for 2 points.">valueIncrementX()</a> </dd></dl>
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</td></tr>
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<tr><td class="fieldname"><a id="aa63256420483fa4981452127366cb48da30edbcab5070b1f54d7e6d2486cb7ccf"></a>ParameterY </td><td class="fielddoc"><p>No parametrization: t[i] = y[i] </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#ab5014b377c1f5f945cd7062109728d41" title="Calculate the ParameterY value increment for 2 points.">valueIncrementY()</a> </dd></dl>
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</td></tr>
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<tr><td class="fieldname"><a id="aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478"></a>ParameterUniform </td><td class="fielddoc"><p>Uniform parametrization: t[i] = i;</p>
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<p>A very fast parametrization, with good results, when the geometry of the control points is somehow "equidistant". F.e. when recording the position of a body, that is moving with constant speed every n seconds.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#a4ec70cdb3d4c1b53628ef516e93390ec" title="Calculate the ParameterUniform value increment.">valueIncrementUniform()</a> </dd></dl>
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</td></tr>
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<tr><td class="fieldname"><a id="aa63256420483fa4981452127366cb48daf328ec1c9518bc5aaa9f648731f77ffd"></a>ParameterChordal </td><td class="fielddoc"><p>Parametrization using the chordal length between two control points</p>
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<p>The chordal length is the most commonly used approximation for the curve length.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#a02659178ea5377ec5e13d71858456200" title="Calculate the ParameterChordal value increment for 2 points.">valueIncrementChordal()</a> </dd></dl>
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</td></tr>
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<tr><td class="fieldname"><a id="aa63256420483fa4981452127366cb48da3127bf721ca3be4e279f9478ea12270c"></a>ParameterCentripetal </td><td class="fielddoc"><p>Centripetal parametrization</p>
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<p>Based on the square root of the chordal length.</p>
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<p>Its name stems from the physical observations regarding the centripetal force, of a body moving along the curve.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#a141e850c0e8da729dada0870041c265b" title="Calculate the ParameterCentripetal value increment for 2 points.">valueIncrementCentripetal()</a> </dd></dl>
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</td></tr>
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<tr><td class="fieldname"><a id="aa63256420483fa4981452127366cb48da45063aa26a8cd803c4d2b75ee89ad449"></a>ParameterManhattan </td><td class="fielddoc"><p>Parametrization using the manhattan length between two control points</p>
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<p>Approximating the curve length by the manhattan length is faster than the chordal length, but usually gives worse results.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#aacfc92b2d904b9644e1e0f4fc77fd7a2" title="Calculate the ParameterManhattan value increment for 2 points.">valueIncrementManhattan()</a> </dd></dl>
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</td></tr>
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</table>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00048">48</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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<h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a34f8c3b8585ac4d232606760a75620c3">◆ </a></span>QwtSplineParametrization()</h2>
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<td class="paramtype">int </td>
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<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">type</td><td>Parametrization type </td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="class_qwt_spline_parametrization.html#a31d326035a02c9be9d7c558212903f99">type()</a> </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8cpp_source.html#l00017">17</a> of file <a class="el" href="qwt__spline__parametrization_8cpp_source.html">qwt_spline_parametrization.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="#a31d326035a02c9be9d7c558212903f99">◆ </a></span>type()</h2>
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<td class="memname">int QwtSplineParametrization::type </td>
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<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>Parametrization type </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8cpp_source.html#l00072">72</a> of file <a class="el" href="qwt__spline__parametrization_8cpp_source.html">qwt_spline_parametrization.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a5cd58cf9777799bec478ad524baa22f9">◆ </a></span>valueIncrement()</h2>
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<td class="paramtype">const QPointF & </td>
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<p>Calculate the parameter value increment for 2 points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">point1</td><td>First point </td></tr>
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<tr><td class="paramname">point2</td><td>Second point</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Value increment </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8cpp_source.html#l00035">35</a> of file <a class="el" href="qwt__spline__parametrization_8cpp_source.html">qwt_spline_parametrization.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a141e850c0e8da729dada0870041c265b">◆ </a></span>valueIncrementCentripetal()</h2>
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<td class="paramtype">const QPointF & </td>
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<p>Calculate the ParameterCentripetal value increment for 2 points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">point1</td><td>First point </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The square root of a chordal increment </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00196">196</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a02659178ea5377ec5e13d71858456200">◆ </a></span>valueIncrementChordal()</h2>
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<td>(</td>
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<p>Calculate the ParameterChordal value increment for 2 points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">point1</td><td>First point </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>qSqrt( dx * dx + dy * dy ); </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00179">179</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aacfc92b2d904b9644e1e0f4fc77fd7a2">◆ </a></span>valueIncrementManhattan()</h2>
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<p>Calculate the ParameterManhattan value increment for 2 points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>| point2.x() - point1.x() | + | point2.y() - point1.y() | </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00210">210</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4ec70cdb3d4c1b53628ef516e93390ec">◆ </a></span>valueIncrementUniform()</h2>
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<p>Calculate the ParameterUniform value increment. </p>
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<dl class="section return"><dt>Returns</dt><dd>1.0 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00162">162</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a45e45f7ac6df2fbd6ec0bd6d52837e63">◆ </a></span>valueIncrementX()</h2>
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<p>Calculate the ParameterX value increment for 2 points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>point2.x() - point1.x(); </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00134">134</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab5014b377c1f5f945cd7062109728d41">◆ </a></span>valueIncrementY()</h2>
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<p>Calculate the ParameterY value increment for 2 points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">point1</td><td>First point </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>point2.y() - point1.y(); </dd></dl>
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<p class="definition">Definition at line <a class="el" href="qwt__spline__parametrization_8h_source.html#l00148">148</a> of file <a class="el" href="qwt__spline__parametrization_8h_source.html">qwt_spline_parametrization.h</a>.</p>
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