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2022-07-05 16:56:29 +08:00
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<title>IntersectionTests - Cesium Documentation</title>
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<a href="index.html"><img src="Images/CesiumLogo.png" class="cesiumLogo"></a>
IntersectionTests
<div class="titleCenterer"></div>
</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/IntersectionTests.js#L13">Core/IntersectionTests.js 13</a>
</div>
<div class="description">Functions for computing the intersection between geometries such as rays, planes, triangles, and ellipsoids.</div>
<dl class="details">
</dl>
</div>
<h3 class="subsection-title">Methods</h3>
<div class="nameContainer">
<h4 class="name" id=".grazingAltitudeLocation">
<a href="#.grazingAltitudeLocation" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.grazingAltitudeLocation<span class="signature">(ray, ellipsoid)</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/IntersectionTests.js#L662">Core/IntersectionTests.js 662</a>
</div>
</h4>
</div>
<div class="description">
Provides the point along the ray which is nearest to the ellipsoid.
</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>ray</code></td>
<td class="type">
<span class="param-type"><a href="Ray.html">Ray</a></span>
</td>
<td class="description last">
The ray.</td>
</tr>
<tr>
<td class="name"><code>ellipsoid</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="description last">
The ellipsoid.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The nearest planetodetic point on the ray.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".lineSegmentPlane">
<a href="#.lineSegmentPlane" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.lineSegmentPlane<span class="signature">(endPoint0, endPoint1, plane, <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/IntersectionTests.js#L815">Core/IntersectionTests.js 815</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection of a line segment and a 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>endPoint0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
An end point of the line segment.</td>
</tr>
<tr>
<td class="name"><code>endPoint1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The other end point of the line segment.</td>
</tr>
<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>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 object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The intersection point or undefined if there is no intersection.
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">const origin = Cesium.Cartesian3.fromDegrees(-75.59777, 40.03883);
const normal = ellipsoid.geodeticSurfaceNormal(origin);
const plane = Cesium.Plane.fromPointNormal(origin, normal);
const p0 = new Cesium.Cartesian3(...);
const p1 = new Cesium.Cartesian3(...);
// find the intersection of the line segment from p0 to p1 and the tangent plane at origin.
const intersection = Cesium.IntersectionTests.lineSegmentPlane(p0, p1, plane);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id=".lineSegmentSphere">
<a href="#.lineSegmentSphere" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.lineSegmentSphere<span class="signature">(p0, p1, sphere, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Interval.html">Interval</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/IntersectionTests.js#L381">Core/IntersectionTests.js 381</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection points of a line segment with a sphere.
</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>p0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
An end point of the line segment.</td>
</tr>
<tr>
<td class="name"><code>p1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The other end point of the line segment.</td>
</tr>
<tr>
<td class="name"><code>sphere</code></td>
<td class="type">
<span class="param-type"><a href="BoundingSphere.html">BoundingSphere</a></span>
</td>
<td class="description last">
The sphere.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Interval.html">Interval</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The result onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The interval containing scalar points along the ray or undefined if there are no intersections.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".lineSegmentTriangle">
<a href="#.lineSegmentTriangle" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.lineSegmentTriangle<span class="signature">(v0, v1, p0, p1, p2, <span class="optional">cullBackFaces</span>, <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/IntersectionTests.js#L228">Core/IntersectionTests.js 228</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection of a line segment and a triangle.
</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>v0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The an end point of the line segment.</td>
</tr>
<tr>
<td class="name"><code>v1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The other end point of the line segment.</td>
</tr>
<tr>
<td class="name"><code>p0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The first vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>p1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The second vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>p2</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The third vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>cullBackFaces</code></td>
<td class="type">
<span class="param-type">Boolean</span>
</td>
<td class="default">
<code class="language-javascript">false</code>
</td>
<td class="description last">
<span class="optional">optional</span>
If <code>true</code>, will only compute an intersection with the front face of the triangle
and return undefined for intersections with the back face.</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="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The <code>Cartesian3</code> onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The intersection point or undefined if there is no intersections.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".rayEllipsoid">
<a href="#.rayEllipsoid" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.rayEllipsoid<span class="signature">(ray, ellipsoid)</span> &rarr; <span class="type-signature returnType"><a href="Interval.html">Interval</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/IntersectionTests.js#L421">Core/IntersectionTests.js 421</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection points of a ray with an ellipsoid.
</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>ray</code></td>
<td class="type">
<span class="param-type"><a href="Ray.html">Ray</a></span>
</td>
<td class="description last">
The ray.</td>
</tr>
<tr>
<td class="name"><code>ellipsoid</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="description last">
The ellipsoid.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The interval containing scalar points along the ray or undefined if there are no intersections.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".rayPlane">
<a href="#.rayPlane" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.rayPlane<span class="signature">(ray, plane, <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/IntersectionTests.js#L28">Core/IntersectionTests.js 28</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection of a ray and a 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>ray</code></td>
<td class="type">
<span class="param-type"><a href="Ray.html">Ray</a></span>
</td>
<td class="description last">
The ray.</td>
</tr>
<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>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 object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The intersection point or undefined if there is no intersections.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".raySphere">
<a href="#.raySphere" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.raySphere<span class="signature">(ray, sphere, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Interval.html">Interval</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/IntersectionTests.js#L350">Core/IntersectionTests.js 350</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection points of a ray with a sphere.
</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>ray</code></td>
<td class="type">
<span class="param-type"><a href="Ray.html">Ray</a></span>
</td>
<td class="description last">
The ray.</td>
</tr>
<tr>
<td class="name"><code>sphere</code></td>
<td class="type">
<span class="param-type"><a href="BoundingSphere.html">BoundingSphere</a></span>
</td>
<td class="description last">
The sphere.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Interval.html">Interval</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The result onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The interval containing scalar points along the ray or undefined if there are no intersections.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".rayTriangle">
<a href="#.rayTriangle" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.rayTriangle<span class="signature">(ray, p0, p1, p2, <span class="optional">cullBackFaces</span>, <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/IntersectionTests.js#L185">Core/IntersectionTests.js 185</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection of a ray and a triangle as a Cartesian3 coordinate.
Implements <a href="https://cadxfem.org/inf/Fast%2520MinimumStorage%2520RayTriangle%2520Intersection.pdf"> Fast Minimum Storage Ray/Triangle Intersection</a> by Tomas Moller and Ben Trumbore.
</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>ray</code></td>
<td class="type">
<span class="param-type"><a href="Ray.html">Ray</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The ray.</td>
</tr>
<tr>
<td class="name"><code>p0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The first vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>p1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The second vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>p2</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The third vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>cullBackFaces</code></td>
<td class="type">
<span class="param-type">Boolean</span>
</td>
<td class="default">
<code class="language-javascript">false</code>
</td>
<td class="description last">
<span class="optional">optional</span>
If <code>true</code>, will only compute an intersection with the front face of the triangle
and return undefined for intersections with the back face.</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="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The <code>Cartesian3</code> onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The intersection point or undefined if there is no intersections.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".rayTriangleParametric">
<a href="#.rayTriangleParametric" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.rayTriangleParametric<span class="signature">(ray, p0, p1, p2, <span class="optional">cullBackFaces</span>)</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/IntersectionTests.js#L84">Core/IntersectionTests.js 84</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection of a ray and a triangle as a parametric distance along the input ray. The result is negative when the triangle is behind the ray.
Implements <a href="https://cadxfem.org/inf/Fast%2520MinimumStorage%2520RayTriangle%2520Intersection.pdf"> Fast Minimum Storage Ray/Triangle Intersection</a> by Tomas Moller and Ben Trumbore.
</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>ray</code></td>
<td class="type">
<span class="param-type"><a href="Ray.html">Ray</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The ray.</td>
</tr>
<tr>
<td class="name"><code>p0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The first vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>p1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The second vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>p2</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The third vertex of the triangle.</td>
</tr>
<tr>
<td class="name"><code>cullBackFaces</code></td>
<td class="type">
<span class="param-type">Boolean</span>
</td>
<td class="default">
<code class="language-javascript">false</code>
</td>
<td class="description last">
<span class="optional">optional</span>
If <code>true</code>, will only compute an intersection with the front face of the triangle
and return undefined for intersections with the back face.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The intersection as a parametric distance along the ray, or undefined if there is no intersection.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".trianglePlaneIntersection">
<a href="#.trianglePlaneIntersection" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.IntersectionTests.trianglePlaneIntersection<span class="signature">(p0, p1, p2, plane)</span> &rarr; <span class="type-signature returnType">Object</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/IntersectionTests.js#L885">Core/IntersectionTests.js 885</a>
</div>
</h4>
</div>
<div class="description">
Computes the intersection of a triangle and a 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>p0</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
First point of the triangle</td>
</tr>
<tr>
<td class="name"><code>p1</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
Second point of the triangle</td>
</tr>
<tr>
<td class="name"><code>p2</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
Third point of the triangle</td>
</tr>
<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">
Intersection plane</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
An object with properties <code>positions</code> and <code>indices</code>, which are arrays that represent three triangles that do not cross the plane. (Undefined if no intersection exists)
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">const origin = Cesium.Cartesian3.fromDegrees(-75.59777, 40.03883);
const normal = ellipsoid.geodeticSurfaceNormal(origin);
const plane = Cesium.Plane.fromPointNormal(origin, normal);
const p0 = new Cesium.Cartesian3(...);
const p1 = new Cesium.Cartesian3(...);
const p2 = new Cesium.Cartesian3(...);
// convert the triangle composed of points (p0, p1, p2) to three triangles that don't cross the plane
const triangles = Cesium.IntersectionTests.trianglePlaneIntersection(p0, p1, p2, plane);</code></pre>
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