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	<h1 translate="no">Curve</h1>
		<section>
			<header>
				<div class="class-description"><p>An abstract base class for creating an analytic curve object that contains methods
for interpolation.</p></div>
			</header>
			<article>
				<div class="container-overview">
					<h2>Constructor</h2>
					<h3 class="name name-method" id="Curve" translate="no">new <a href="#Curve">Curve</a><span class="signature">()</span> <span class="type-signature">(abstract) </span></h3>
					<div class="method">
						<div class="description">
							<p>Constructs a new curve.</p>
						</div>
					</div>
				</div>
				<h2 class="subsection-title">Properties</h2>
				<div class="member">
					<h3 class="name" id="arcLengthDivisions" translate="no">.<a href="#arcLengthDivisions">arcLengthDivisions</a><span class="type-signature"> : number</span> </h3>
					<div class="description">
						<p>This value determines the amount of divisions when calculating the
cumulative segment lengths of a curve via <a href="Curve.html#getLengths">Curve#getLengths</a>. To ensure
precision when using methods like <a href="Curve.html#getSpacedPoints">Curve#getSpacedPoints</a>, it is
recommended to increase the value of this property if the curve is very large.</p>
						<p>Default is <code>200</code>.</p>
					</div>
				</div>
				<div class="member">
					<h3 class="name" id="needsUpdate" translate="no">.<a href="#needsUpdate">needsUpdate</a><span class="type-signature"> : boolean</span> </h3>
					<div class="description">
						<p>Must be set to <code>true</code> if the curve parameters have changed.</p>
						<p>Default is <code>false</code>.</p>
					</div>
				</div>
				<div class="member">
					<h3 class="name" id="type" translate="no">.<a href="#type">type</a><span class="type-signature"> : string</span> <span class="type-signature">(readonly) </span></h3>
					<div class="description">
						<p>The type property is used for detecting the object type
in context of serialization/deserialization.</p>
					</div>
				</div>
				<h2 class="subsection-title">Methods</h2>
					<h3 class="name name-method" id="clone" translate="no">.<a href="#clone">clone</a><span class="signature">()</span><span class="type-signature"> : <a href="Curve.html">Curve</a></span> </h3>
					<div class="method">
						<div class="description">
							<p>Returns a new curve with copied values from this instance.</p>
						</div>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> A clone of this instance.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="computeFrenetFrames" translate="no">.<a href="#computeFrenetFrames">computeFrenetFrames</a><span class="signature">( segments : <span class="param-type">number</span>, closed : <span class="param-type">boolean</span> )</span><span class="type-signature"> : Object</span> </h3>
					<div class="method">
						<div class="description">
							<p>Generates the Frenet Frames. Requires a curve definition in 3D space. Used
in geometries like <a href="TubeGeometry.html">TubeGeometry</a> or <a href="ExtrudeGeometry.html">ExtrudeGeometry</a>.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>segments</strong>
									</td>
									<td class="description last">
										<p>The number of segments.</p>
									</td>
								</tr>
								<tr>
									<td class="name">
										<strong>closed</strong>
									</td>
									<td class="description last">
										<p>Whether the curve is closed or not.</p>
										<p>Default is <code>false</code>.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The Frenet Frames.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="copy" translate="no">.<a href="#copy">copy</a><span class="signature">( source : <span class="param-type"><a href="Curve.html">Curve</a></span> )</span><span class="type-signature"> : <a href="Curve.html">Curve</a></span> </h3>
					<div class="method">
						<div class="description">
							<p>Copies the values of the given curve to this instance.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>source</strong>
									</td>
									<td class="description last">
										<p>The curve to copy.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> A reference to this curve.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="fromJSON" translate="no">.<a href="#fromJSON">fromJSON</a><span class="signature">( json : <span class="param-type">Object</span> )</span><span class="type-signature"> : <a href="Curve.html">Curve</a></span> </h3>
					<div class="method">
						<div class="description">
							<p>Deserializes the curve from the given JSON.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>json</strong>
									</td>
									<td class="description last">
										<p>The JSON holding the serialized curve.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> A reference to this curve.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getLength" translate="no">.<a href="#getLength">getLength</a><span class="signature">()</span><span class="type-signature"> : number</span> </h3>
					<div class="method">
						<div class="description">
							<p>Returns the total arc length of the curve.</p>
						</div>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The length of the curve.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getLengths" translate="no">.<a href="#getLengths">getLengths</a><span class="signature">( divisions : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;number></span> </h3>
					<div class="method">
						<div class="description">
							<p>Returns an array of cumulative segment lengths of the curve.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>divisions</strong>
									</td>
									<td class="description last">
										<p>The number of divisions.</p>
										<p>Default is <code>this.arcLengthDivisions</code>.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> An array holding the cumulative segment lengths.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getPoint" translate="no">.<a href="#getPoint">getPoint</a><span class="signature">( t : <span class="param-type">number</span>, optionalTarget : <span class="param-type"><a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> )</span><span class="type-signature"> : <a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> <span class="type-signature">(abstract) </span></h3>
					<div class="method">
						<div class="description">
							<p>This method returns a vector in 2D or 3D space (depending on the curve definition)
for the given interpolation factor.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>t</strong>
									</td>
									<td class="description last">
										<p>A interpolation factor representing a position on the curve. Must be in the range <code>[0,1]</code>.</p>
									</td>
								</tr>
								<tr>
									<td class="name">
										<strong>optionalTarget</strong>
									</td>
									<td class="description last">
										<p>The optional target vector the result is written to.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The position on the curve. It can be a 2D or 3D vector depending on the curve definition.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getPointAt" translate="no">.<a href="#getPointAt">getPointAt</a><span class="signature">( u : <span class="param-type">number</span>, optionalTarget : <span class="param-type"><a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> )</span><span class="type-signature"> : <a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> </h3>
					<div class="method">
						<div class="description">
							<p>This method returns a vector in 2D or 3D space (depending on the curve definition)
for the given interpolation factor. Unlike <a href="Curve.html#getPoint">Curve#getPoint</a>, this method honors the length
of the curve which equidistant samples.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>u</strong>
									</td>
									<td class="description last">
										<p>A interpolation factor representing a position on the curve. Must be in the range <code>[0,1]</code>.</p>
									</td>
								</tr>
								<tr>
									<td class="name">
										<strong>optionalTarget</strong>
									</td>
									<td class="description last">
										<p>The optional target vector the result is written to.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The position on the curve. It can be a 2D or 3D vector depending on the curve definition.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getPoints" translate="no">.<a href="#getPoints">getPoints</a><span class="signature">( divisions : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;(<a href="Vector2.html">Vector2</a>|<a href="Vector3.html">Vector3</a>)></span> </h3>
					<div class="method">
						<div class="description">
							<p>This method samples the curve via <a href="Curve.html#getPoint">Curve#getPoint</a> and returns an array of points representing
the curve shape.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>divisions</strong>
									</td>
									<td class="description last">
										<p>The number of divisions.</p>
										<p>Default is <code>5</code>.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> An array holding the sampled curve values. The number of points is <code>divisions + 1</code>.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getSpacedPoints" translate="no">.<a href="#getSpacedPoints">getSpacedPoints</a><span class="signature">( divisions : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;(<a href="Vector2.html">Vector2</a>|<a href="Vector3.html">Vector3</a>)></span> </h3>
					<div class="method">
						<div class="description">
							<p>This method samples the curve via <a href="Curve.html#getPointAt">Curve#getPointAt</a> and returns an array of points representing
the curve shape. Unlike <a href="Curve.html#getPoints">Curve#getPoints</a>, this method returns equi-spaced points across the entire
curve.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>divisions</strong>
									</td>
									<td class="description last">
										<p>The number of divisions.</p>
										<p>Default is <code>5</code>.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> An array holding the sampled curve values. The number of points is <code>divisions + 1</code>.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getTangent" translate="no">.<a href="#getTangent">getTangent</a><span class="signature">( t : <span class="param-type">number</span>, optionalTarget : <span class="param-type"><a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> )</span><span class="type-signature"> : <a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> </h3>
					<div class="method">
						<div class="description">
							<p>Returns a unit vector tangent for the given interpolation factor.
If the derived curve does not implement its tangent derivation,
two points a small delta apart will be used to find its gradient
which seems to give a reasonable approximation.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>t</strong>
									</td>
									<td class="description last">
										<p>The interpolation factor.</p>
									</td>
								</tr>
								<tr>
									<td class="name">
										<strong>optionalTarget</strong>
									</td>
									<td class="description last">
										<p>The optional target vector the result is written to.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The tangent vector.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getTangentAt" translate="no">.<a href="#getTangentAt">getTangentAt</a><span class="signature">( u : <span class="param-type">number</span>, optionalTarget : <span class="param-type"><a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> )</span><span class="type-signature"> : <a href="Vector2.html">Vector2</a> | <a href="Vector3.html">Vector3</a></span> </h3>
					<div class="method">
						<div class="description">
							<p>Same as <a href="Curve.html#getTangent">Curve#getTangent</a> but with equidistant samples.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>u</strong>
									</td>
									<td class="description last">
										<p>The interpolation factor.</p>
									</td>
								</tr>
								<tr>
									<td class="name">
										<strong>optionalTarget</strong>
									</td>
									<td class="description last">
										<p>The optional target vector the result is written to.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-see">See:</dt>
							<dd class="tag-see">
								<ul>
									<li><a href="Curve.html#getPointAt">Curve#getPointAt</a></li>
								</ul>
							</dd>
						</dl>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The tangent vector.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="getUtoTmapping" translate="no">.<a href="#getUtoTmapping">getUtoTmapping</a><span class="signature">( u : <span class="param-type">number</span>, distance : <span class="param-type">number</span> )</span><span class="type-signature"> : number</span> </h3>
					<div class="method">
						<div class="description">
							<p>Given an interpolation factor in the range <code>[0,1]</code>, this method returns an updated
interpolation factor in the same range that can be ued to sample equidistant points
from a curve.</p>
						</div>
						<table class="params">
							<tbody>
								<tr>
									<td class="name">
										<strong>u</strong>
									</td>
									<td class="description last">
										<p>The interpolation factor.</p>
									</td>
								</tr>
								<tr>
									<td class="name">
										<strong>distance</strong>
									</td>
									<td class="description last">
										<p>An optional distance on the curve.</p>
										<p>Default is <code>null</code>.</p>
									</td>
								</tr>
							</tbody>
						</table>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> The updated interpolation factor.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="toJSON" translate="no">.<a href="#toJSON">toJSON</a><span class="signature">()</span><span class="type-signature"> : Object</span> </h3>
					<div class="method">
						<div class="description">
							<p>Serializes the curve into JSON.</p>
						</div>
						<dl class="details">
							<dt class="tag-see">See:</dt>
							<dd class="tag-see">
								<ul>
									<li><a href="ObjectLoader.html#parse">ObjectLoader#parse</a></li>
								</ul>
							</dd>
						</dl>
						<dl class="details">
							<dt class="tag-returns"><strong>Returns:</strong> A JSON object representing the serialized curve.</dt>
						</dl>
					</div>
					<h3 class="name name-method" id="updateArcLengths" translate="no">.<a href="#updateArcLengths">updateArcLengths</a><span class="signature">()</span> </h3>
					<div class="method">
						<div class="description">
							<p>Update the cumulative segment distance cache. The method must be called
every time curve parameters are changed. If an updated curve is part of a
composed curve like <a href="CurvePath.html">CurvePath</a>, this method must be called on the
composed curve, too.</p>
						</div>
					</div>
				<h2 class="subsection-title">Source</h2>
				<p>
					<a href="https://github.com/mrdoob/three.js/blob/master/src/extras/core/Curve.js" translate="no" target="_blank" rel="noopener">src/extras/core/Curve.js</a>
				</p>
			</article>
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