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<p>Root namespace of the polyline simplification library.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="namespaces"></a>
Namespaces</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html">math</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Contains functions for calculating statistics and distances between various geometric entities. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1util.html">util</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Contains utility functions and classes. </p>
<br/></td></tr>
</p>
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">PolylineSimplification</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Provides various simplification algorithms for n-dimensional simple polylines. <a href="classpsimpl_1_1_polyline_simplification.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a1a805a9e3eef7ca46bffae71a8b49dc0">simplify_nth_point</a> (ForwardIterator first, ForwardIterator last, unsigned n, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs the nth point routine (NP). <a href="#a1a805a9e3eef7ca46bffae71a8b49dc0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a12f4b63e11188c5293fe3effabbfba31">simplify_radial_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs the (radial) distance between points routine (RD). <a href="#a12f4b63e11188c5293fe3effabbfba31"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aa8c86b0f1529d529fc2ff84d09b00101">simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, unsigned repeat, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Repeatedly performs the perpendicular distance routine (PD). <a href="#aa8c86b0f1529d529fc2ff84d09b00101"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a71a8cbb4f1ebd41a5897c8174bdf8617">simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs the perpendicular distance routine (PD). <a href="#a71a8cbb4f1ebd41a5897c8174bdf8617"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a0ae1a1e3ada43f9791ac6ac36df5fdf7">simplify_reumann_witkam</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Reumann-Witkam polyline simplification (RW). <a href="#a0ae1a1e3ada43f9791ac6ac36df5fdf7"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a433d47ec86872f64bdc2bc792e6444ca">simplify_opheim</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type min_tol, typename std::iterator_traits< ForwardIterator >::value_type max_tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Opheim polyline simplification (OP). <a href="#a433d47ec86872f64bdc2bc792e6444ca"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class BidirectionalIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a241debcb1ad56aa1046f4a4996922411">simplify_lang</a> (BidirectionalIterator first, BidirectionalIterator last, typename std::iterator_traits< BidirectionalIterator >::value_type tol, unsigned look_ahead, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Lang polyline simplification (LA). <a href="#a241debcb1ad56aa1046f4a4996922411"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#ab71cedd762eee4006a85f4321fca6cad">simplify_douglas_peucker</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs Douglas-Peucker polyline simplification (DP). <a href="#ab71cedd762eee4006a85f4321fca6cad"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aeff1b138293ca9cfb855d7e1f69dacf5">simplify_douglas_peucker_n</a> (ForwardIterator first, ForwardIterator last, unsigned count, OutputIterator result)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs a variant of Douglas-Peucker polyline simplification (DPn). <a href="#aeff1b138293ca9cfb855d7e1f69dacf5"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator , class OutputIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a187709033361ba469a60c3a848328118">compute_positional_errors2</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, OutputIterator result, bool *valid=0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the squared positional error between a polyline and its simplification. <a href="#a187709033361ba469a60c3a848328118"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<unsigned DIM, class ForwardIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">math::Statistics</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a16418e391940b20609bc48289e7222a4">compute_positional_error_statistics</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, bool *valid=0)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes statistics for the positional errors between a polyline and its simplification. <a href="#a16418e391940b20609bc48289e7222a4"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Root namespace of the polyline simplification library. </p>
</div><hr/><h2>Function Documentation</h2>
<a class="anchor" id="a16418e391940b20609bc48289e7222a4"></a><!-- doxytag: member="psimpl::compute_positional_error_statistics" ref="a16418e391940b20609bc48289e7222a4" args="(ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, bool *valid=0)" -->
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<td class="memname"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">math::Statistics</a> psimpl::compute_positional_error_statistics </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>original_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>original_last</em>, </td>
</tr>
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<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>simplified_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>simplified_last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool * </td>
<td class="paramname"><em>valid</em> = <code>0</code> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<div class="memdoc">
<p>Computes statistics for the positional errors between a polyline and its simplification. </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a10af204d445105a8a4cbc81bd0563cb1" title="Computes statistics for the positional errors between a polyline and its simplification.">PolylineSimplification::ComputePositionalErrorStatistics</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">original_first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">original_last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_first</td><td>the first coordinate of the first simplified polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_last</td><td>one beyond the last coordinate of the last simplified polyline point </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">valid</td><td>[optional] indicates if the computed statistics are valid </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the computed statistics </dd></dl>
</div>
</div>
<a class="anchor" id="a187709033361ba469a60c3a848328118"></a><!-- doxytag: member="psimpl::compute_positional_errors2" ref="a187709033361ba469a60c3a848328118" args="(ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, OutputIterator result, bool *valid=0)" -->
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template<unsigned DIM, class ForwardIterator , class OutputIterator > </div>
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<td class="memname">OutputIterator psimpl::compute_positional_errors2 </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>original_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>original_last</em>, </td>
</tr>
<tr>
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<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>simplified_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>simplified_last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool * </td>
<td class="paramname"><em>valid</em> = <code>0</code> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Computes the squared positional error between a polyline and its simplification. </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a6b3ed5157f5bf51ef7be179896cd2903" title="Computes the squared positional error between a polyline and its simplification.">PolylineSimplification::ComputePositionalErrors2</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">original_first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">original_last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_first</td><td>the first coordinate of the first simplified polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_last</td><td>one beyond the last coordinate of the last simplified polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the squared positional errors </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">valid</td><td>[optional] indicates if the computed positional errors are valid </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last computed positional error </dd></dl>
</div>
</div>
<a class="anchor" id="ab71cedd762eee4006a85f4321fca6cad"></a><!-- doxytag: member="psimpl::simplify_douglas_peucker" ref="ab71cedd762eee4006a85f4321fca6cad" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_douglas_peucker </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Douglas-Peucker polyline simplification (DP). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a75954f25bc0d99e0a756611ffa2b5fda" title="Performs Douglas-Peucker approximation (DP).">PolylineSimplification::DouglasPeucker</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (point-to-segment) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="aeff1b138293ca9cfb855d7e1f69dacf5"></a><!-- doxytag: member="psimpl::simplify_douglas_peucker_n" ref="aeff1b138293ca9cfb855d7e1f69dacf5" args="(ForwardIterator first, ForwardIterator last, unsigned count, OutputIterator result)" -->
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<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
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<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned </td>
<td class="paramname"><em>count</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs a variant of Douglas-Peucker polyline simplification (DPn). </p>
<p>This is a convenience function that provides template type deduction for PolylineSimplification::DouglasPeuckerAlt.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">count</td><td>the maximum number of points of the simplified polyline </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a241debcb1ad56aa1046f4a4996922411"></a><!-- doxytag: member="psimpl::simplify_lang" ref="a241debcb1ad56aa1046f4a4996922411" args="(BidirectionalIterator first, BidirectionalIterator last, typename std::iterator_traits< BidirectionalIterator >::value_type tol, unsigned look_ahead, OutputIterator result)" -->
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<td>(</td>
<td class="paramtype">BidirectionalIterator </td>
<td class="paramname"><em>first</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">BidirectionalIterator </td>
<td class="paramname"><em>last</em>, </td>
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<td></td>
<td class="paramtype">typename std::iterator_traits< BidirectionalIterator >::value_type </td>
<td class="paramname"><em>tol</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned </td>
<td class="paramname"><em>look_ahead</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<div class="memdoc">
<p>Performs Lang polyline simplification (LA). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a34f6cdc9223e0e99c671e07a15086e3e" title="Performs Lang approximation (LA).">PolylineSimplification::Lang</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (point-to-segment) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">look_ahead</td><td>defines the size of the search region </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a1a805a9e3eef7ca46bffae71a8b49dc0"></a><!-- doxytag: member="psimpl::simplify_nth_point" ref="a1a805a9e3eef7ca46bffae71a8b49dc0" args="(ForwardIterator first, ForwardIterator last, unsigned n, OutputIterator result)" -->
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template<unsigned DIM, class ForwardIterator , class OutputIterator > </div>
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<td class="memname">OutputIterator psimpl::simplify_nth_point </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned </td>
<td class="paramname"><em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs the nth point routine (NP). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ace21c52fe251f03dc87d17e2627f83ed" title="Performs the nth point routine (NP).">PolylineSimplification::NthPoint</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>specifies 'each nth point' </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a433d47ec86872f64bdc2bc792e6444ca"></a><!-- doxytag: member="psimpl::simplify_opheim" ref="a433d47ec86872f64bdc2bc792e6444ca" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type min_tol, typename std::iterator_traits< ForwardIterator >::value_type max_tol, OutputIterator result)" -->
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template<unsigned DIM, class ForwardIterator , class OutputIterator > </div>
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<td class="memname">OutputIterator psimpl::simplify_opheim </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>min_tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>max_tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Opheim polyline simplification (OP). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a0b9bf4a27ef12a4eb103266f50c6eb7e" title="Performs Opheim approximation (OP).">PolylineSimplification::Opheim</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">min_tol</td><td>minimum distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">max_tol</td><td>maximum distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a71a8cbb4f1ebd41a5897c8174bdf8617"></a><!-- doxytag: member="psimpl::simplify_perpendicular_distance" ref="a71a8cbb4f1ebd41a5897c8174bdf8617" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_perpendicular_distance </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs the perpendicular distance routine (PD). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c" title="Repeatedly performs the perpendicular distance routine (PD).">PolylineSimplification::PerpendicularDistance</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (segment-to-point) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="aa8c86b0f1529d529fc2ff84d09b00101"></a><!-- doxytag: member="psimpl::simplify_perpendicular_distance" ref="aa8c86b0f1529d529fc2ff84d09b00101" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, unsigned repeat, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_perpendicular_distance </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned </td>
<td class="paramname"><em>repeat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Repeatedly performs the perpendicular distance routine (PD). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c" title="Repeatedly performs the perpendicular distance routine (PD).">PolylineSimplification::PerpendicularDistance</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (segment-to-point) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">repeat</td><td>the number of times to successively apply the PD routine. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a12f4b63e11188c5293fe3effabbfba31"></a><!-- doxytag: member="psimpl::simplify_radial_distance" ref="a12f4b63e11188c5293fe3effabbfba31" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)" -->
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template<unsigned DIM, class ForwardIterator , class OutputIterator > </div>
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<td class="memname">OutputIterator psimpl::simplify_radial_distance </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs the (radial) distance between points routine (RD). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aa9f3491a3aa88e3b795705045053a649" title="Performs the (radial) distance between points routine (RD).">PolylineSimplification::RadialDistance</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>radial (point-to-point) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a0ae1a1e3ada43f9791ac6ac36df5fdf7"></a><!-- doxytag: member="psimpl::simplify_reumann_witkam" ref="a0ae1a1e3ada43f9791ac6ac36df5fdf7" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits< ForwardIterator >::value_type tol, OutputIterator result)" -->
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template<unsigned DIM, class ForwardIterator , class OutputIterator > </div>
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<td class="memname">OutputIterator psimpl::simplify_reumann_witkam </td>
<td>(</td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator </td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits< ForwardIterator >::value_type </td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator </td>
<td class="paramname"><em>result</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Reumann-Witkam polyline simplification (RW). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae938c132f029b4e8e828f5e6c7ee4b16" title="Performs Reumann-Witkam approximation (RW).">PolylineSimplification::ReumannWitkam</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (point-to-line) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
</div>
</div>
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