Quaternion Structure
Describes a four-dimensional vector (x, y, z, w).
Namespace: Microsoft.WindowsMobile.DirectX
Assembly: Microsoft.WindowsMobile.DirectX (in microsoft.windowsmobile.directx.dll)
Syntax
'Declaration
Public Structure Quaternion
'Usage
Dim instance As Quaternion
public struct Quaternion
public value class Quaternion
public final class Quaternion extends ValueType
JScript suports the use of structures, but not the declaration of new ones.
Remarks
Quaternions extend the concept of rotation in three dimensions to rotation in four dimensions. You can use quaternions to rotate an object about the (x, y, z) vector by an angle theta, where w = cos(theta/2). Quaternion operations are computationally more efficient than 4 × 4 matrix multiplications used for transformations and rotations. A quaternion also represents the most efficient rotation to interpolate between two orientations of an object.
Quaternions add a fourth element to the [x, y, z] values that define a vector, resulting in arbitrary 4-D vectors. However, the following formulas illustrate how each element of a unit quaternion relates to an axis-angle rotation, where q represents a unit quaternion (x, y, z, w), axis is normalized, and theta is the desired counterclockwise (CCW) rotation around the axis.
q.x = sin(theta/2) * axis.x
q.y = sin(theta/2) * axis.y
q.z = sin(theta/2) * axis.z
q.w = cos(theta/2)
Thread Safety
Any public static (Shared in Visual Basic) members of this type are thread safe. Any instance members are not guaranteed to be thread safe.
Platforms
Windows CE, Windows Mobile for Pocket PC, Windows Mobile for Smartphone
The .NET Framework does not support all versions of every platform. For a list of the supported versions, see System Requirements.
Version Information
.NET Compact Framework
Supported in: 2.0
See Also
Reference
Quaternion Members
Microsoft.WindowsMobile.DirectX Namespace