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							<!DOCTYPE html>
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    <title>PerspectiveOffCenterFrustum - Cesium Documentation</title>

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    <h1 class="page-title">
        <a href="index.html"><img src="images/CesiumLogo.png" class="cesiumLogo"></a>
        PerspectiveOffCenterFrustum
        <div class="titleCenterer"></div>
    </h1>

    
<section>

<header>
    
</header>

<article>
    <div class="container-overview">
    

<dt>
    <div class="nameContainer">
    <h4 class="name" id="PerspectiveOffCenterFrustum">
        <a href="#PerspectiveOffCenterFrustum" class="doc-link"></a>
        new Cesium.PerspectiveOffCenterFrustum<span class="signature">()</span>
        

<div class="source-link rightLinks">
    <a href="https://github.com/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L41">Scene/PerspectiveOffCenterFrustum.js 41</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>

    
    <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>
    

<dl class="details">
    

        <h5>Example:</h5>
        
    <pre><code class="language-javascript">var frustum = new Cesium.PerspectiveOffCenterFrustum();
frustum.right = 1.0;
frustum.left = -1.0;
frustum.top = 1.0;
frustum.bottom = -1.0;
frustum.near = 1.0;
frustum.far = 2.0;</code></pre>

    
    <h5>See:</h5>
    <ul class="see-list">
        <li><a href="PerspectiveFrustum.html">PerspectiveFrustum</a></li>
    </ul>
    

</dl>

</dd>

    
    </div>

    
        <h3 class="subsection-title">Members</h3>

        <dl>
            
<dt>
    <div class="nameContainer">
    <h4 class="name" id="bottom">
        <a href="#bottom" class="doc-link"></a>
        bottom<span class="type-signature"> : Number</span>
        

<div class="source-link rightLinks">
    <a href="https://github.com/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L71">Scene/PerspectiveOffCenterFrustum.js 71</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <div class="description">
        Defines the bottom clipping plane.
    </div>
    

<dl class="details">
    

    <span class="details-header">Default Value:</span>
    <code class="language-javascript">undefined</code>
    

</dl>

</dd>

        
<dt>
    <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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L87">Scene/PerspectiveOffCenterFrustum.js 87</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <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>

</dd>

        
<dt>
    <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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L156">Scene/PerspectiveOffCenterFrustum.js 156</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <div class="description">
        Gets 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="PerspectiveOffCenterFrustum.html#projectionMatrix">PerspectiveOffCenterFrustum#projectionMatrix</a></li>
    </ul>
    

</dl>

</dd>

        
<dt>
    <div class="nameContainer">
    <h4 class="name" id="left">
        <a href="#left" class="doc-link"></a>
        left<span class="type-signature"> : Number</span>
        

<div class="source-link rightLinks">
    <a href="https://github.com/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L47">Scene/PerspectiveOffCenterFrustum.js 47</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <div class="description">
        Defines the left clipping plane.
    </div>
    

<dl class="details">
    

    <span class="details-header">Default Value:</span>
    <code class="language-javascript">undefined</code>
    

</dl>

</dd>

        
<dt>
    <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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L79">Scene/PerspectiveOffCenterFrustum.js 79</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <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>

</dd>

        
<dt>
    <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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L141">Scene/PerspectiveOffCenterFrustum.js 141</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <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="PerspectiveOffCenterFrustum.html#infiniteProjectionMatrix">PerspectiveOffCenterFrustum#infiniteProjectionMatrix</a></li>
    </ul>
    

</dl>

</dd>

        
<dt>
    <div class="nameContainer">
    <h4 class="name" id="right">
        <a href="#right" class="doc-link"></a>
        right<span class="type-signature"> : Number</span>
        

<div class="source-link rightLinks">
    <a href="https://github.com/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L55">Scene/PerspectiveOffCenterFrustum.js 55</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <div class="description">
        Defines the right clipping plane.
    </div>
    

<dl class="details">
    

    <span class="details-header">Default Value:</span>
    <code class="language-javascript">undefined</code>
    

</dl>

</dd>

        
<dt>
    <div class="nameContainer">
    <h4 class="name" id="top">
        <a href="#top" class="doc-link"></a>
        top<span class="type-signature"> : Number</span>
        

<div class="source-link rightLinks">
    <a href="https://github.com/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L63">Scene/PerspectiveOffCenterFrustum.js 63</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>
    
    <div class="description">
        Defines the top clipping plane.
    </div>
    

<dl class="details">
    

    <span class="details-header">Default Value:</span>
    <code class="language-javascript">undefined</code>
    

</dl>

</dd>

        </dl>
    

        <h3 class="subsection-title">Methods</h3>

        <dl>
            
<dt>
    <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="PerspectiveOffCenterFrustum.html">PerspectiveOffCenterFrustum</a></span>
        

<div class="source-link rightLinks">
    <a href="https://github.com/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L372">Scene/PerspectiveOffCenterFrustum.js 372</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>

    
    <div class="description">
        Returns a duplicate of a PerspectiveOffCenterFrustum 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="PerspectiveOffCenterFrustum.html">PerspectiveOffCenterFrustum</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>

</dd>

        
<dt>
    <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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L181">Scene/PerspectiveOffCenterFrustum.js 181</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>

    
    <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.
var cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp);
var intersect = cullingVolume.computeVisibility(boundingVolume);</code></pre>

    
</dl>

</dd>

        
<dt>
    <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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L402">Scene/PerspectiveOffCenterFrustum.js 402</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>

    
    <div class="description">
        Compares the provided PerspectiveOffCenterFrustum 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="PerspectiveOffCenterFrustum.html">PerspectiveOffCenterFrustum</a></span>


            </td>

            
            <td class="description last">
            
                
                        <span class="optional">optional</span>
                
                
                The right hand side PerspectiveOffCenterFrustum.</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>

</dd>

        
<dt>
    <div class="nameContainer">
    <h4 class="name" id="getPixelDimensions">
        <a href="#getPixelDimensions" class="doc-link"></a>
        getPixelDimensions<span class="signature">(drawingBufferWidth, drawingBufferHeight, distance, 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/AnalyticalGraphicsInc/cesium/blob/1.29/Source/Scene/PerspectiveOffCenterFrustum.js#L334">Scene/PerspectiveOffCenterFrustum.js 334</a>
</div>


    </h4>

    </div>

    
</dt>
<dd>

    
    <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>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>
        </ul>
    

<dl class="details">
    

        <h5>Examples:</h5>
        
    <pre><code class="language-javascript">// Example 1
// Get the width and height of a pixel.
var pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, 1.0, 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.
var position = camera.position;
var direction = camera.direction;
var toCenter = Cesium.Cartesian3.subtract(primitive.boundingVolume.center, position, new Cesium.Cartesian3());      // vector from camera to a primitive
var toCenterProj = Cesium.Cartesian3.multiplyByScalar(direction, Cesium.Cartesian3.dot(direction, toCenter), new Cesium.Cartesian3()); // project vector onto camera direction vector
var distance = Cesium.Cartesian3.magnitude(toCenterProj);
var pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, distance, new Cesium.Cartesian2());</code></pre>

    
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