Abstract: An apparatus and method for reducing detection of radiation scatter from an object through which radiation passes from a source to a radiation detection means having a detecting surface. The apparatus comprises at least one radiation shield having front and rear curvilinear shield surfaces. Each of the curvilinear shield surfaces, with projected continuations thereof, is circularly symmetrical about a central axis. Each shield surface, or its projected continuation, intersects the axis at an apex. The front and rear surfaces share the same central axis. The apparatus further includes a means for mounting the shield, between the object and the detecting surface, to make it movable about the central axis and to align the central axis on a straight line from the source to the apexes of the surfaces so that all radiation passing from the source through the object must pass once through the shield, when the shield is in motion about the axis, before the radiation strikes the detecting surface.