mirror of
https://github.com/Doodle3D/Doodle3D-Slicer.git
synced 2024-12-25 12:23:49 +01:00
183 lines
5.3 KiB
HTML
Executable File
183 lines
5.3 KiB
HTML
Executable File
<!DOCTYPE html>
|
|
<html lang="en">
|
|
<head>
|
|
<meta charset="utf-8" />
|
|
<script src="../../list.js"></script>
|
|
<script src="../../page.js"></script>
|
|
<link type="text/css" rel="stylesheet" href="../../page.css" />
|
|
</head>
|
|
<body>
|
|
<h1>[name]</h1>
|
|
|
|
<div class="desc">Implementation of a <a href="http://en.wikipedia.org/wiki/Quaternion">quaternion</a>. This is used for rotating things without encountering the dreaded <a href="http://en.wikipedia.org/wiki/Gimbal_lock">gimbal lock</a> issue, amongst other advantages.</div>
|
|
|
|
|
|
<h2>Example</h2>
|
|
|
|
<code>var quaternion = new THREE.Quaternion();
|
|
quaternion.setFromAxisAngle( new THREE.Vector3( 0, 1, 0 ), Math.PI / 2 );
|
|
|
|
var vector = new THREE.Vector3( 1, 0, 0 );
|
|
vector.applyQuaternion( quaternion );
|
|
</code>
|
|
|
|
|
|
<h2>Constructor</h2>
|
|
|
|
|
|
<h3>[name]( [page:Float x], [page:Float y], [page:Float z], [page:Float w] )</h3>
|
|
<div>
|
|
x - x coordinate<br />
|
|
y - y coordinate<br />
|
|
z - z coordinate<br />
|
|
w - w coordinate
|
|
</div>
|
|
|
|
|
|
<h2>Properties</h2>
|
|
|
|
<h3>[property:Float x]</h3>
|
|
|
|
<h3>[property:Float y]</h3>
|
|
|
|
<h3>[property:Float z]</h3>
|
|
|
|
<h3>[property:Float w]</h3>
|
|
|
|
|
|
<h2>Methods</h2>
|
|
|
|
<h3>[method:Quaternion set]( [page:Float x], [page:Float y], [page:Float z], [page:Float w] )</h3>
|
|
<div>
|
|
Sets values of this quaternion.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion copy]( [page:Quaternion q] )</h3>
|
|
<div>
|
|
Copies values of *q* to this quaternion.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion setFromEuler]( [page:Euler euler] )</h3>
|
|
<div>
|
|
Sets this quaternion from rotation specified by Euler angle.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion setFromAxisAngle]( [page:Vector3 axis], [page:Float angle] )</h3>
|
|
<div>
|
|
Sets this quaternion from rotation specified by axis and angle.<br />
|
|
Adapted from [link:http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm].<br />
|
|
*Axis* is asumed to be normalized, *angle* is in radians.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion setFromRotationMatrix]( [page:Matrix4 m] )</h3>
|
|
<div>
|
|
Sets this quaternion from rotation component of *m*.<br />
|
|
Adapted from [link:http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm].
|
|
</div>
|
|
|
|
<h3>[method:Quaternion setFromUnitVectors]( [page:Vector3 vFrom], [page:Vector3 vTo] )</h3>
|
|
<div>
|
|
Sets this quaternion to the rotation required to rotate direction vector *vFrom* to direction vector *vTo*.<br />
|
|
Adapted from [link:http://lolengine.net/blog/2013/09/18/beautiful-maths-quaternion-from-vectors].<br />
|
|
*vFrom* and *vTo* are assumed to be normalized.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion inverse]()</h3>
|
|
<div>
|
|
Inverts this quaternion.
|
|
</div>
|
|
|
|
<h3>[method:Float length]()</h3>
|
|
<div>
|
|
Computes length of this quaternion.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion normalize]()</h3>
|
|
<div>
|
|
Normalizes this quaternion.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion multiply]( [page:Quaternion b] )</h3>
|
|
<div>
|
|
Multiplies this quaternion by *b*.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion multiplyQuaternions]( [page:Quaternion a], [page:Quaternion b] )</h3>
|
|
<div>
|
|
Sets this quaternion to *a x b*<br />
|
|
Adapted from [link:http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm].
|
|
</div>
|
|
|
|
<h3>[method:Quaternion multiplyVector3]( [page:Vector3 vector], [page:Vector3 dest] )</h3>
|
|
<div>
|
|
Rotates *vector* by this quaternion into *dest*.<br />
|
|
If *dest* is not specified, result goes to *vec*.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion clone]()</h3>
|
|
<div>
|
|
Clones this quaternion.
|
|
</div>
|
|
|
|
|
|
<h2>Static methods</h2>
|
|
|
|
<h3>[method:Quaternion slerp]( [page:Quaternion qa], [page:Quaternion qb], [page:Quaternion qm], [page:Float t] )</h3>
|
|
<div>
|
|
Adapted from [link:http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/].
|
|
</div>
|
|
|
|
|
|
<h3>[method:Quaternion slerp]([page:Quaternion qb], [page:float t])</h3>
|
|
<div>
|
|
qb -- Target quaternion rotation.<br />
|
|
t -- Normalized [0..1] interpolation factor.
|
|
</div>
|
|
<div>
|
|
Handles the spherical linear interpolation between this quaternion's configuration
|
|
and that of *qb*. *t* represents how close to the current (0) or target (1) rotation the
|
|
result should be.
|
|
</div>
|
|
|
|
<h3>[method:Array toArray]( [page:Array array] )</h3>
|
|
<div>
|
|
array -- Array to store the quaternion.
|
|
</div>
|
|
<div>
|
|
Returns the numerical elements of this quaternion in an array of format (x, y, z, w).
|
|
</div>
|
|
|
|
<h3>[method:Boolean equals]([page:Quaternion v])</h3>
|
|
<div>
|
|
v -- Quaternion that this quaternion will be compared to.
|
|
</div>
|
|
<div>
|
|
Compares each component of *v* to each component of this quaternion to determine if they
|
|
represent the same rotation.
|
|
</div>
|
|
|
|
<h3>[method:Float lengthSq]()</h3>
|
|
<div>
|
|
Calculates the squared length of the quaternion.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion fromArray]([page:Array array])</h3>
|
|
<div>
|
|
array -- Array of format (x, y, z, w) used to construct the quaternion.
|
|
</div>
|
|
<div>
|
|
Sets this quaternion's component values from an array.
|
|
</div>
|
|
|
|
<h3>[method:Quaternion conjugate]()</h3>
|
|
<div>
|
|
Returns the rotational conjugate of this quaternion. The conjugate of a quaternion
|
|
represents the same rotation in the opposite direction about the rotational axis.
|
|
</div>
|
|
|
|
<h2>Source</h2>
|
|
|
|
[link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]
|
|
</body>
|
|
</html>
|