How to get a 3D rotation angle on each axis?

Question

I have a Model3DGroup that rotates around any x, y, z axis using the AxisAngleRotation3D applied to the Transform property of the object.

The problem is that I do not control the various twists applied to the grid. I need to display a grid angle on each x, y, z axis in each rendering cycle.

How can i do this? I tried to restore the AxisAngleRotation3D object to the object, but it only gives me the rotation that was last applied. This is not true.

If, for example, Axis rotation was applied: Vector3D (1, 1, 0) Angle: 45

The actual rotation around the Z axis will not be 0. How can I get the actual angle on each axis?

Answer 1

 double rotationX = Vector3D.AngleBetween(new Vector3D(1, 0, 0), yourMatrix3D.Transform(new Vector3D(1, 0, 0)));
 double rotationY = Vector3D.AngleBetween(new Vector3D(0, 1, 0), yourMatrix3D.Transform(new Vector3D(0, 1, 0)));
 double rotationZ = Vector3D.AngleBetween(new Vector3D(0, 0, 1), yourMatrix3D.Transform(new Vector3D(0, 0, 1)));

Answer 2

Model3DGroup.Transform.Value Matrix3D, . http://msdn.microsoft.com/en-us/library/system.windows.media.media3d.matrix3d.aspx

. ( ) . . http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToEuler/index.htm