Rotate all three cursors synchronously for vtkResliceImageViewer

I am using three different vtkResliceImageViewer based viewers for axial, coronal and sagittal views for medical images and like to synchronously rotate all three cursors (or rather planes). I found vtkImageOrthoPlanes which is doing the right thing for vtkImagePlaneWidget, but cannot be applied for vtkResliceCursor.

As far as I can see this is currently implemented only for two planes [1]. Is there an easy way to use the resulting angle from the rotation of the two planes and apply it to the orthogonal one?
Thanks in advance for any help or hints.