When the senator first arrives at the facility his secretary is standing there in a white skirt suit with the jacket sleeves pushed up. When the camera angle changes the sleeves of her jacket are pulled down to her wrists.
When viewing subjects on the O.B.I.T. screen, the surroundings and any objects they are holding are not visible, yet clothing and jewelry are visible. If the O.B.I.T. machine actually were to work on tuning in on the person's wavelength as described, then only the undressed person should be visible.