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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>PerspectiveFrustum - Cesium Documentation</title>
<!--[if lt IE 9]>
<script src="javascript/html5.js"></script>
<![endif]-->
<link href="styles/jsdoc-default.css" rel="stylesheet">
<link href="styles/prism.css" rel="stylesheet">
</head>
<body>
<div id="main">
<h1 class="page-title">
<a href="index.html"><img src="Images/CesiumLogo.png" class="cesiumLogo"></a>
PerspectiveFrustum
<div class="titleCenterer"></div>
</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="nameContainer">
<h4 class="name" id="PerspectiveFrustum">
<a href="#PerspectiveFrustum" class="doc-link"></a>
new Cesium.PerspectiveFrustum<span class="signature">(<span class="optional">options</span>)</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L35">Core/PerspectiveFrustum.js 35</a>
</div>
</h4>
</div>
<div class="description">
The viewing frustum is defined by 6 planes.
Each plane is represented by a <a href="Cartesian4.html"><code>Cartesian4</code></a> object, where the x, y, and z components
define the unit vector normal to the plane, and the w component is the distance of the
plane from the origin/camera position.
</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>options</code></td>
<td class="type">
<span class="param-type">Object</span>
</td>
<td class="description last">
<span class="optional">optional</span>
An object with the following properties:
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>fov</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The angle of the field of view (FOV), in radians.</td>
</tr>
<tr>
<td class="name"><code>aspectRatio</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The aspect ratio of the frustum's width to it's height.</td>
</tr>
<tr>
<td class="name"><code>near</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">1.0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The distance of the near plane.</td>
</tr>
<tr>
<td class="name"><code>far</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">500000000.0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The distance of the far plane.</td>
</tr>
<tr>
<td class="name"><code>xOffset</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0.0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The offset in the x direction.</td>
</tr>
<tr>
<td class="name"><code>yOffset</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0.0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The offset in the y direction.</td>
</tr>
</tbody>
</table>
</td>
</tr>
</tbody>
</table>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">const frustum = new Cesium.PerspectiveFrustum({
fov : Cesium.Math.PI_OVER_THREE,
aspectRatio : canvas.clientWidth / canvas.clientHeight
near : 1.0,
far : 1000.0
});</code></pre>
<h5>See:</h5>
<ul class="see-list">
<li><a href="PerspectiveOffCenterFrustum.html">PerspectiveOffCenterFrustum</a></li>
</ul>
</dl>
</div>
<h3 class="subsection-title">Members</h3>
<div class="nameContainer">
<h4 class="name" id=".packedLength">
<a href="#.packedLength" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.PerspectiveFrustum.packedLength<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L98">Core/PerspectiveFrustum.js 98</a>
</div>
</h4>
</div>
<div class="description">
The number of elements used to pack the object into an array.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="aspectRatio">
<a href="#aspectRatio" class="doc-link"></a>
aspectRatio<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L58">Core/PerspectiveFrustum.js 58</a>
</div>
</h4>
</div>
<div class="description">
The aspect ratio of the frustum's width to it's height.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">undefined</code>
</dl>
<div class="nameContainer">
<h4 class="name" id="far">
<a href="#far" class="doc-link"></a>
far<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L74">Core/PerspectiveFrustum.js 74</a>
</div>
</h4>
</div>
<div class="description">
The distance of the far plane.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">500000000.0</code>
</dl>
<div class="nameContainer">
<h4 class="name" id="fov">
<a href="#fov" class="doc-link"></a>
fov<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L47">Core/PerspectiveFrustum.js 47</a>
</div>
</h4>
</div>
<div class="description">
The angle of the field of view (FOV), in radians. This angle will be used
as the horizontal FOV if the width is greater than the height, otherwise
it will be the vertical FOV.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">undefined</code>
</dl>
<div class="nameContainer">
<h4 class="name" id="fovy">
<a href="#fovy" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> fovy<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L260">Core/PerspectiveFrustum.js 260</a>
</div>
</h4>
</div>
<div class="description">
Gets the angle of the vertical field of view, in radians.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">undefined</code>
</dl>
<div class="nameContainer">
<h4 class="name" id="infiniteProjectionMatrix">
<a href="#infiniteProjectionMatrix" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> infiniteProjectionMatrix<span class="type-signature"> : <a href="Matrix4.html">Matrix4</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L246">Core/PerspectiveFrustum.js 246</a>
</div>
</h4>
</div>
<div class="description">
The perspective projection matrix computed from the view frustum with an infinite far plane.
</div>
<dl class="details">
<h5>See:</h5>
<ul class="see-list">
<li><a href="PerspectiveFrustum.html#projectionMatrix">PerspectiveFrustum#projectionMatrix</a></li>
</ul>
</dl>
<div class="nameContainer">
<h4 class="name" id="near">
<a href="#near" class="doc-link"></a>
near<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L66">Core/PerspectiveFrustum.js 66</a>
</div>
</h4>
</div>
<div class="description">
The distance of the near plane.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">1.0</code>
</dl>
<div class="nameContainer">
<h4 class="name" id="projectionMatrix">
<a href="#projectionMatrix" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> projectionMatrix<span class="type-signature"> : <a href="Matrix4.html">Matrix4</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L231">Core/PerspectiveFrustum.js 231</a>
</div>
</h4>
</div>
<div class="description">
Gets the perspective projection matrix computed from the view frustum.
</div>
<dl class="details">
<h5>See:</h5>
<ul class="see-list">
<li><a href="PerspectiveFrustum.html#infiniteProjectionMatrix">PerspectiveFrustum#infiniteProjectionMatrix</a></li>
</ul>
</dl>
<div class="nameContainer">
<h4 class="name" id="xOffset">
<a href="#xOffset" class="doc-link"></a>
xOffset<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L82">Core/PerspectiveFrustum.js 82</a>
</div>
</h4>
</div>
<div class="description">
Offsets the frustum in the x direction.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">0.0</code>
</dl>
<div class="nameContainer">
<h4 class="name" id="yOffset">
<a href="#yOffset" class="doc-link"></a>
yOffset<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L90">Core/PerspectiveFrustum.js 90</a>
</div>
</h4>
</div>
<div class="description">
Offsets the frustum in the y direction.
</div>
<dl class="details">
<span class="details-header">Default Value:</span>
<code class="language-javascript">0.0</code>
</dl>
<h3 class="subsection-title">Methods</h3>
<div class="nameContainer">
<h4 class="name" id=".pack">
<a href="#.pack" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.PerspectiveFrustum.pack<span class="signature">(value, array, <span class="optional">startingIndex</span>)</span> &rarr; <span class="type-signature returnType">Array.&lt;Number></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L109">Core/PerspectiveFrustum.js 109</a>
</div>
</h4>
</div>
<div class="description">
Stores the provided instance into the provided array.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>value</code></td>
<td class="type">
<span class="param-type"><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The value to pack.</td>
</tr>
<tr>
<td class="name"><code>array</code></td>
<td class="type">
<span class="param-type">Array.&lt;Number></span>
</td>
<td class="default">
</td>
<td class="description last">
The array to pack into.</td>
</tr>
<tr>
<td class="name"><code>startingIndex</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The index into the array at which to start packing the elements.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The array that was packed into
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".unpack">
<a href="#.unpack" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.PerspectiveFrustum.unpack<span class="signature">(array, <span class="optional">startingIndex</span>, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L135">Core/PerspectiveFrustum.js 135</a>
</div>
</h4>
</div>
<div class="description">
Retrieves an instance from a packed array.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>array</code></td>
<td class="type">
<span class="param-type">Array.&lt;Number></span>
</td>
<td class="default">
</td>
<td class="description last">
The packed array.</td>
</tr>
<tr>
<td class="name"><code>startingIndex</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The starting index of the element to be unpacked.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></span>
</td>
<td class="default">
</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 modified result parameter or a new PerspectiveFrustum instance if one was not provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="clone">
<a href="#clone" class="doc-link"></a>
clone<span class="signature">(<span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L354">Core/PerspectiveFrustum.js 354</a>
</div>
</h4>
</div>
<div class="description">
Returns a duplicate of a PerspectiveFrustum 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>result</code></td>
<td class="type">
<span class="param-type"><a href="PerspectiveFrustum.html">PerspectiveFrustum</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 PerspectiveFrustum instance if one was not provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="computeCullingVolume">
<a href="#computeCullingVolume" class="doc-link"></a>
computeCullingVolume<span class="signature">(position, direction, up)</span> &rarr; <span class="type-signature returnType"><a href="CullingVolume.html">CullingVolume</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L292">Core/PerspectiveFrustum.js 292</a>
</div>
</h4>
</div>
<div class="description">
Creates a culling volume for this frustum.
</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>position</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The eye position.</td>
</tr>
<tr>
<td class="name"><code>direction</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The view direction.</td>
</tr>
<tr>
<td class="name"><code>up</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The up direction.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
A culling volume at the given position and orientation.
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">// Check if a bounding volume intersects the frustum.
const cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp);
const intersect = cullingVolume.computeVisibility(boundingVolume);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id="equals">
<a href="#equals" class="doc-link"></a>
equals<span class="signature">(<span class="optional">other</span>)</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/PerspectiveFrustum.js#L382">Core/PerspectiveFrustum.js 382</a>
</div>
</h4>
</div>
<div class="description">
Compares the provided PerspectiveFrustum componentwise 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>other</code></td>
<td class="type">
<span class="param-type"><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The right hand side PerspectiveFrustum.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
<code>true</code> if they are equal, <code>false</code> otherwise.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="equalsEpsilon">
<a href="#equalsEpsilon" class="doc-link"></a>
equalsEpsilon<span class="signature">(other, relativeEpsilon, <span class="optional">absoluteEpsilon</span>)</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/PerspectiveFrustum.js#L407">Core/PerspectiveFrustum.js 407</a>
</div>
</h4>
</div>
<div class="description">
Compares the provided PerspectiveFrustum componentwise and returns
<code>true</code> if they pass an absolute or relative tolerance test,
<code>false</code> otherwise.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>other</code></td>
<td class="type">
<span class="param-type"><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The right hand side PerspectiveFrustum.</td>
</tr>
<tr>
<td class="name"><code>relativeEpsilon</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
</td>
<td class="description last">
The relative epsilon tolerance to use for equality testing.</td>
</tr>
<tr>
<td class="name"><code>absoluteEpsilon</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">relativeEpsilon</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The absolute epsilon tolerance to use for equality testing.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
<code>true</code> if this and other are within the provided epsilon, <code>false</code> otherwise.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="getPixelDimensions">
<a href="#getPixelDimensions" class="doc-link"></a>
getPixelDimensions<span class="signature">(drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian2.html">Cartesian2</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/PerspectiveFrustum.js#L331">Core/PerspectiveFrustum.js 331</a>
</div>
</h4>
</div>
<div class="description">
Returns the pixel's width and height in meters.
</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>drawingBufferWidth</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">
The width of the drawing buffer.</td>
</tr>
<tr>
<td class="name"><code>drawingBufferHeight</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">
The height of the drawing buffer.</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 distance to the near plane in meters.</td>
</tr>
<tr>
<td class="name"><code>pixelRatio</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">
The scaling factor from pixel space to coordinate space.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian2.html">Cartesian2</a></span>
</td>
<td class="description last">
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 instance of <a href="Cartesian2.html"><code>Cartesian2</code></a> with the pixel's width and height in the x and y properties, respectively.
</div>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: drawingBufferWidth must be greater than zero.
</div>
</li>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: drawingBufferHeight must be greater than zero.
</div>
</li>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: pixelRatio must be greater than zero.
</div>
</li>
</ul>
<dl class="details">
<h5>Examples:</h5>
<pre><code class="language-javascript">// Example 1
// Get the width and height of a pixel.
const pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, 1.0, scene.pixelRatio, new Cesium.Cartesian2());</code></pre>
<pre><code class="language-javascript">// Example 2
// Get the width and height of a pixel if the near plane was set to 'distance'.
// For example, get the size of a pixel of an image on a billboard.
const position = camera.position;
const direction = camera.direction;
const toCenter = Cesium.Cartesian3.subtract(primitive.boundingVolume.center, position, new Cesium.Cartesian3()); // vector from camera to a primitive
const toCenterProj = Cesium.Cartesian3.multiplyByScalar(direction, Cesium.Cartesian3.dot(direction, toCenter), new Cesium.Cartesian3()); // project vector onto camera direction vector
const distance = Cesium.Cartesian3.magnitude(toCenterProj);
const pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, distance, scene.pixelRatio, new Cesium.Cartesian2());</code></pre>
</dl>
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