A spatial [3x3] rotation matrix defining a rotation around a given axis.
Namespace:
ceometric.VectorGeometryAssembly: ceometric.VectorGeometry (in ceometric.VectorGeometry.dll) Version: 1.8.0.0 (1.8.0.0)
Syntax
C# |
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public static Matrix3d RotationArbitraryAxis( Vector3d axis, double radian ) |
Visual Basic (Declaration) |
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Public Shared Function RotationArbitraryAxis ( _ axis As Vector3d, _ radian As Double _ ) As Matrix3d |
Visual C++ |
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public: static Matrix3d^ RotationArbitraryAxis( Vector3d^ axis, double radian ) |
Parameters
- axis
- Type: ceometric.VectorGeometry..::.Vector3d
A 3d vector defining the axis of rotation.
- radian
- Type: System..::.Double
The rotation angle in [radian].
Return Value
Returns a [3x3] rotation matrix defining a rotation around a given axis.Remarks
The sense of the rotation depends on the direction of the axis vector according to the right-hand-rule.
Examples
The following example rotates a point 90 degrees around the z-axis:
The coordinates of the rotated point are (0,1,0).
CopyC#
Point p = new Point(1,0,0); Matrix3d rMat = Matrix3d.RotationArbitraryAxis(new Vector3d(0,0,1), Math.Pi/2); Point rotatedPoint = rMat * p;