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<title>Plane - Cesium Documentation</title>
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<h1 class="page-title">
<a href="index.html"><img src="Images/CesiumLogo.png" class="cesiumLogo"></a>
Plane
<div class="titleCenterer"></div>
</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="nameContainer">
<h4 class="name" id="Plane">
<a href="#Plane" class="doc-link"></a>
new Cesium.Plane<span class="signature">(normal, distance)</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L34">Core/Plane.js 34</a>
</div>
</h4>
</div>
<div class="description">
A plane in Hessian Normal Form defined by
<pre>
ax + by + cz + d = 0
</pre>
where (a, b, c) is the plane's <code>normal</code>, d is the signed
<code>distance</code> to the plane, and (x, y, z) is any point on
the plane.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>normal</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The plane's normal (normalized).</td>
</tr>
<tr>
<td class="name"><code>distance</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">
The shortest distance from the origin to the plane. The sign of
<code>distance</code> determines which side of the plane the origin
is on. If <code>distance</code> is positive, the origin is in the half-space
in the direction of the normal; if negative, the origin is in the half-space
opposite to the normal; if zero, the plane passes through the origin.</td>
</tr>
</tbody>
</table>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: Normal must be normalized
</div>
</li>
</ul>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">// The plane x=0
const plane = new Cesium.Plane(Cesium.Cartesian3.UNIT_X, 0.0);</code></pre>
</dl>
</div>
<h3 class="subsection-title">Members</h3>
<div class="nameContainer">
<h4 class="name" id=".ORIGIN_XY_PLANE">
<a href="#.ORIGIN_XY_PLANE" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> <span class="type-signature attribute-constant">constant</span> Cesium.Plane.ORIGIN_XY_PLANE<span class="type-signature"> : <a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L295">Core/Plane.js 295</a>
</div>
</h4>
</div>
<div class="description">
A constant initialized to the XY plane passing through the origin, with normal in positive Z.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".ORIGIN_YZ_PLANE">
<a href="#.ORIGIN_YZ_PLANE" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> <span class="type-signature attribute-constant">constant</span> Cesium.Plane.ORIGIN_YZ_PLANE<span class="type-signature"> : <a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L303">Core/Plane.js 303</a>
</div>
</h4>
</div>
<div class="description">
A constant initialized to the YZ plane passing through the origin, with normal in positive X.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".ORIGIN_ZX_PLANE">
<a href="#.ORIGIN_ZX_PLANE" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> <span class="type-signature attribute-constant">constant</span> Cesium.Plane.ORIGIN_ZX_PLANE<span class="type-signature"> : <a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L311">Core/Plane.js 311</a>
</div>
</h4>
</div>
<div class="description">
A constant initialized to the ZX plane passing through the origin, with normal in positive Y.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="distance">
<a href="#distance" class="doc-link"></a>
distance<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L65">Core/Plane.js 65</a>
</div>
</h4>
</div>
<div class="description">
The shortest distance from the origin to the plane. The sign of
<code>distance</code> determines which side of the plane the origin
is on. If <code>distance</code> is positive, the origin is in the half-space
in the direction of the normal; if negative, the origin is in the half-space
opposite to the normal; if zero, the plane passes through the origin.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="normal">
<a href="#normal" class="doc-link"></a>
normal<span class="type-signature"> : <a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L54">Core/Plane.js 54</a>
</div>
</h4>
</div>
<div class="description">
The plane's normal.
</div>
<dl class="details">
</dl>
<h3 class="subsection-title">Methods</h3>
<div class="nameContainer">
<h4 class="name" id=".clone">
<a href="#.clone" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.clone<span class="signature">(plane, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L254">Core/Plane.js 254</a>
</div>
</h4>
</div>
<div class="description">
Duplicates a Plane instance.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>plane</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
The plane to duplicate.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Plane instance if one was not provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".equals">
<a href="#.equals" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.equals<span class="signature">(left, right)</span> &rarr; <span class="type-signature returnType">Boolean</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L277">Core/Plane.js 277</a>
</div>
</h4>
</div>
<div class="description">
Compares the provided Planes by normal and distance and returns
<code>true</code> if they are equal, <code>false</code> otherwise.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>left</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
The first plane.</td>
</tr>
<tr>
<td class="name"><code>right</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
The second plane.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
<code>true</code> if left and right are equal, <code>false</code> otherwise.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".fromCartesian4">
<a href="#.fromCartesian4" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.fromCartesian4<span class="signature">(coefficients, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L119">Core/Plane.js 119</a>
</div>
</h4>
</div>
<div class="description">
Creates a plane from the general equation
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>coefficients</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian4.html">Cartesian4</a></span>
</td>
<td class="description last">
The plane's normal (normalized).</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
A new plane instance or the modified result parameter.
</div>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: Normal must be normalized
</div>
</li>
</ul>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".fromPointNormal">
<a href="#.fromPointNormal" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.fromPointNormal<span class="signature">(point, normal, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L83">Core/Plane.js 83</a>
</div>
</h4>
</div>
<div class="description">
Creates a plane from a normal and a point on the plane.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>point</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The point on the plane.</td>
</tr>
<tr>
<td class="name"><code>normal</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The plane's normal (normalized).</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
A new plane instance or the modified result parameter.
</div>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: Normal must be normalized
</div>
</li>
</ul>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">const point = Cesium.Cartesian3.fromDegrees(-72.0, 40.0);
const normal = ellipsoid.geodeticSurfaceNormal(point);
const tangentPlane = Cesium.Plane.fromPointNormal(point, normal);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id=".getPointDistance">
<a href="#.getPointDistance" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.getPointDistance<span class="signature">(plane, point)</span> &rarr; <span class="type-signature returnType">Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L158">Core/Plane.js 158</a>
</div>
</h4>
</div>
<div class="description">
Computes the signed shortest distance of a point to a plane.
The sign of the distance determines which side of the plane the point
is on. If the distance is positive, the point is in the half-space
in the direction of the normal; if negative, the point is in the half-space
opposite to the normal; if zero, the plane passes through the point.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>plane</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
The plane.</td>
</tr>
<tr>
<td class="name"><code>point</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The point.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The signed shortest distance of the point to the plane.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".projectPointOntoPlane">
<a href="#.projectPointOntoPlane" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.projectPointOntoPlane<span class="signature">(plane, point, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L175">Core/Plane.js 175</a>
</div>
</h4>
</div>
<div class="description">
Projects a point onto the plane.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>plane</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
The plane to project the point onto</td>
</tr>
<tr>
<td class="name"><code>point</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The point to project onto the plane</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The result point. If undefined, a new Cartesian3 will be created.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Cartesian3 instance if one was not provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".transform">
<a href="#.transform" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Plane.transform<span class="signature">(plane, transform, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Plane.html">Plane</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Plane.js#L207">Core/Plane.js 207</a>
</div>
</h4>
</div>
<div class="description">
Transforms the plane by the given transformation matrix.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>plane</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
The plane.</td>
</tr>
<tr>
<td class="name"><code>transform</code></td>
<td class="type">
<span class="param-type"><a href="Matrix4.html">Matrix4</a></span>
</td>
<td class="description last">
The transformation matrix.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Plane.html">Plane</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object into which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The plane transformed by the given transformation matrix.
</div>
<dl class="details">
</dl>
</article>
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