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PositionsTransform3D gets or sets a Transform3D that is used to transform all positions.
PositionsTransform3D is automatically set from LineVisual3D.Transform when LineSelectorData is created with LineVisual3D (its value stay null if there is no transformation set on the LineVisual3D or if it is Identity).
If LineVisual3D is child of some other Visual3D that may have its own transformations, then you can use Ab3d.Utilities.TransformationsHelper.GetVisual3DTotalTransform method to get the final transformation of the LineVisual3D.