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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1">
<title>Ipelib: IpeBezier Class Reference</title>
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<!-- Generated by Doxygen 1.5.1 -->
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<li><a href="annotated.html"><span>Class List</span></a></li>
<li><a href="hierarchy.html"><span>Class Hierarchy</span></a></li>
<li><a href="functions.html"><span>Class Members</span></a></li>
</ul></div>
<h1>IpeBezier Class Reference<br>
<small>
[<a class="el" href="group__geo.html">Ipe Geometry</a>]</small>
</h1><!-- doxytag: class="IpeBezier" -->A cubic Bezier spline.
<a href="#_details">More...</a>
<p>
<a href="class_ipe_bezier-members.html">List of all members.</a><h2>Public Member Functions</h2>
<ul>
<li><a class="el" href="class_ipe_bezier.html#81bb69b5de624e838412557b90b33b94">IpeBezier</a> ()
<li><a class="el" href="class_ipe_bezier.html#6e84332f2589d4cec6f2490222f49483">IpeBezier</a> (const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p0, const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p1, const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p2, const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p3)
<li><a class="el" href="class_ipe_vector.html">IpeVector</a> <a class="el" href="class_ipe_bezier.html#bc785d910c2fc78fd2109e8d48e43559">Point</a> (double t) const
<li>double <a class="el" href="class_ipe_bezier.html#a9029b31431b42b08d89cc85a61b5f6d">Distance</a> (const <a class="el" href="class_ipe_vector.html">IpeVector</a> &v, double bound)
<li>bool <a class="el" href="class_ipe_bezier.html#ed5ba315cd9ae63896fa0cfe24c0b37f">Straight</a> (double precision) const
<li>void <a class="el" href="class_ipe_bezier.html#b9780a68638b2bbfba08962a3cfde0ce">Subdivide</a> (<a class="el" href="class_ipe_bezier.html">IpeBezier</a> &l, <a class="el" href="class_ipe_bezier.html">IpeBezier</a> &r) const
<li>void <a class="el" href="class_ipe_bezier.html#288cfd024c9ccce6ad9d23e84328ff2c">Approximate</a> (double precision, std::vector< <a class="el" href="class_ipe_vector.html">IpeVector</a> > &result) const
<li><a class="el" href="class_ipe_rect.html">IpeRect</a> <a class="el" href="class_ipe_bezier.html#74b8c3bef01be934d9e6e3c7b674517d">BBox</a> () const
<li><a class="anchor" name="e18263e6b0627f88e3734bec171f16d2"></a><!-- doxytag: member="IpeBezier::Intersects" ref="e18263e6b0627f88e3734bec171f16d2" args="(const IpeLine &l, IpeVector &pt) const" -->
bool <b>Intersects</b> (const <a class="el" href="class_ipe_line.html">IpeLine</a> &l, <a class="el" href="class_ipe_vector.html">IpeVector</a> &pt) const
<li><a class="anchor" name="fb7cb5e14d3e0f2d03f7baf66d29d45f"></a><!-- doxytag: member="IpeBezier::Intersects" ref="fb7cb5e14d3e0f2d03f7baf66d29d45f" args="(const IpeSegment &l, IpeVector &pt) const" -->
bool <b>Intersects</b> (const <a class="el" href="class_ipe_segment.html">IpeSegment</a> &l, <a class="el" href="class_ipe_vector.html">IpeVector</a> &pt) const
</ul>
<h2>Static Public Member Functions</h2>
<ul>
<li>static <a class="el" href="class_ipe_bezier.html">IpeBezier</a> <a class="el" href="class_ipe_bezier.html#ff8a12de16305569bec160e165d969df">QuadBezier</a> (const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p0, const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p1, const <a class="el" href="class_ipe_vector.html">IpeVector</a> &p2)
<li>static void <a class="el" href="class_ipe_bezier.html#c58af3d3b1adeece51ca228687570d7e">Spline</a> (int n, const <a class="el" href="class_ipe_vector.html">IpeVector</a> *v, std::vector< <a class="el" href="class_ipe_bezier.html">IpeBezier</a> > &result)
<li>static void <a class="el" href="class_ipe_bezier.html#1f5bf9d341dc7818c02e79dab85c1754">ClosedSpline</a> (int n, const <a class="el" href="class_ipe_vector.html">IpeVector</a> *v, std::vector< <a class="el" href="class_ipe_bezier.html">IpeBezier</a> > &result)
</ul>
<h2>Public Attributes</h2>
<ul>
<li><a class="anchor" name="b78e85fdc7bf8e09bcd1f64ce39e6761"></a><!-- doxytag: member="IpeBezier::iV" ref="b78e85fdc7bf8e09bcd1f64ce39e6761" args="[4]" -->
<a class="el" href="class_ipe_vector.html">IpeVector</a> <b>iV</b> [4]
</ul>
<hr><a name="_details"></a><h2>Detailed Description</h2>
A cubic Bezier spline.
<p>
<hr><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" name="81bb69b5de624e838412557b90b33b94"></a><!-- doxytag: member="IpeBezier::IpeBezier" ref="81bb69b5de624e838412557b90b33b94" args="()" -->
<div class="memitem">
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<td class="memname">IpeBezier::IpeBezier </td>
<td>(</td>
<td class="paramname"> </td>
<td> ) </td>
<td width="100%"><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Default constructor, uninitialized curve.
<p>
</div>
</div><p>
<a class="anchor" name="6e84332f2589d4cec6f2490222f49483"></a><!-- doxytag: member="IpeBezier::IpeBezier" ref="6e84332f2589d4cec6f2490222f49483" args="(const IpeVector &p0, const IpeVector &p1, const IpeVector &p2, const IpeVector &p3)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">IpeBezier::IpeBezier </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p3</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Constructor with four control points.
<p>
</div>
</div><p>
<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="bc785d910c2fc78fd2109e8d48e43559"></a><!-- doxytag: member="IpeBezier::Point" ref="bc785d910c2fc78fd2109e8d48e43559" args="(double t) const" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="class_ipe_vector.html">IpeVector</a> IpeBezier::Point </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>t</em> </td>
<td> ) </td>
<td width="100%"> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Return point on curve with parameter <em>t</em> (from 0.0 to 1.0).
<p>
</div>
</div><p>
<a class="anchor" name="a9029b31431b42b08d89cc85a61b5f6d"></a><!-- doxytag: member="IpeBezier::Distance" ref="a9029b31431b42b08d89cc85a61b5f6d" args="(const IpeVector &v, double bound)" -->
<div class="memitem">
<div class="memproto">
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<td class="memname">double IpeBezier::Distance </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>v</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double </td>
<td class="paramname"> <em>bound</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Return distance to Bezier spline.
<p>
But may just return <em>bound</em> if actual distance is larger.
</div>
</div><p>
<a class="anchor" name="ed5ba315cd9ae63896fa0cfe24c0b37f"></a><!-- doxytag: member="IpeBezier::Straight" ref="ed5ba315cd9ae63896fa0cfe24c0b37f" args="(double precision) const" -->
<div class="memitem">
<div class="memproto">
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<td class="memname">bool IpeBezier::Straight </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>precision</em> </td>
<td> ) </td>
<td width="100%"> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Returns true if the Bezier curve is nearly identical to the line segment iV[0]..iV[3].
</div>
</div><p>
<a class="anchor" name="b9780a68638b2bbfba08962a3cfde0ce"></a><!-- doxytag: member="IpeBezier::Subdivide" ref="b9780a68638b2bbfba08962a3cfde0ce" args="(IpeBezier &l, IpeBezier &r) const" -->
<div class="memitem">
<div class="memproto">
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<td class="memname">void IpeBezier::Subdivide </td>
<td>(</td>
<td class="paramtype"><a class="el" href="class_ipe_bezier.html">IpeBezier</a> & </td>
<td class="paramname"> <em>l</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="class_ipe_bezier.html">IpeBezier</a> & </td>
<td class="paramname"> <em>r</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Subdivide this Bezier curve in the middle.
<p>
</div>
</div><p>
<a class="anchor" name="288cfd024c9ccce6ad9d23e84328ff2c"></a><!-- doxytag: member="IpeBezier::Approximate" ref="288cfd024c9ccce6ad9d23e84328ff2c" args="(double precision, std::vector< IpeVector > &result) const" -->
<div class="memitem">
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<td class="memname">void IpeBezier::Approximate </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>precision</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">std::vector< <a class="el" href="class_ipe_vector.html">IpeVector</a> > & </td>
<td class="paramname"> <em>result</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Approximate by a polygonal chain.
<p>
<em>result</em> must be empty when calling this.
</div>
</div><p>
<a class="anchor" name="74b8c3bef01be934d9e6e3c7b674517d"></a><!-- doxytag: member="IpeBezier::BBox" ref="74b8c3bef01be934d9e6e3c7b674517d" args="() const" -->
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<td class="memname"><a class="el" href="class_ipe_rect.html">IpeRect</a> IpeBezier::BBox </td>
<td>(</td>
<td class="paramname"> </td>
<td> ) </td>
<td width="100%"> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Return a tight bounding box (accurate to within 0.5).
<p>
</div>
</div><p>
<a class="anchor" name="ff8a12de16305569bec160e165d969df"></a><!-- doxytag: member="IpeBezier::QuadBezier" ref="ff8a12de16305569bec160e165d969df" args="(const IpeVector &p0, const IpeVector &p1, const IpeVector &p2)" -->
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<td class="memname"><a class="el" href="class_ipe_bezier.html">IpeBezier</a> IpeBezier::QuadBezier </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> & </td>
<td class="paramname"> <em>p2</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"><code> [static]</code></td>
</tr>
</table>
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<div class="memdoc">
<p>
Convert a quadratic Bezier-spline to a cubic one.
<p>
The quadratic Bezier-spline with control points p0, p1, p2 is identical to the cubic Bezier-spline with control points q0 = p0, q1 = (2p1 + p0)/3, q2 = (2p1 + p2)/3, q3 = p2.
</div>
</div><p>
<a class="anchor" name="c58af3d3b1adeece51ca228687570d7e"></a><!-- doxytag: member="IpeBezier::Spline" ref="c58af3d3b1adeece51ca228687570d7e" args="(int n, const IpeVector *v, std::vector< IpeBezier > &result)" -->
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<td class="memname">void IpeBezier::Spline </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> * </td>
<td class="paramname"> <em>v</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">std::vector< <a class="el" href="class_ipe_bezier.html">IpeBezier</a> > & </td>
<td class="paramname"> <em>result</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"><code> [static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Convert a uniform cubic B-spline to a series of Bezier splines.
<p>
First and last control point are given multiplicity 3. Bezier splines are appended to <em>result</em>.
</div>
</div><p>
<a class="anchor" name="1f5bf9d341dc7818c02e79dab85c1754"></a><!-- doxytag: member="IpeBezier::ClosedSpline" ref="1f5bf9d341dc7818c02e79dab85c1754" args="(int n, const IpeVector *v, std::vector< IpeBezier > &result)" -->
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<td class="memname">void IpeBezier::ClosedSpline </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="class_ipe_vector.html">IpeVector</a> * </td>
<td class="paramname"> <em>v</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">std::vector< <a class="el" href="class_ipe_bezier.html">IpeBezier</a> > & </td>
<td class="paramname"> <em>result</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"><code> [static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
Convert a closed uniform cubic B-spline to a series of Bezier splines.
<p>
Bezier splines are appended to <em>result</em>.
</div>
</div><p>
<hr>The documentation for this class was generated from the following files:<ul>
<li>ipegeo.h<li>ipegeo.cpp</ul>
<hr>
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