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ReferenceSpace id = 9 is in PIR orientation (+x = posterior, +y = inferior, +z = right). ReferenceSpace id = 10 is identical to ReferenceSpace id = 9. The reason for the two spaces is to allow left hemisphere sagittal data to corresponds to the right hemisphere coronal reference atlas. This is implemented as a z-axis flip transform between the two reference spaces for the purposes of image synchronization (see below).

Figure: ReferenceSpace id = 9 The common reference space is in PIR orientation where x axis = Anterior-to-Posterior, y axis = Superior-to-Inferior and z axis = Left-to-Right.