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Rotate-Scale-Translate (RST) interactions have become the de facto standard when interacting with two-dimensional (2D) contexts in single-touch and multi-touch environments. Because the use of RST has thus far focused almost entirely on 2D, there are not yet standard techniques for extending these principles into three dimensions. In this paper we describe a screen-space method which fully captures the semantics of the traditional 2D RST multi-touch interaction, but also allows us to extend these same principles into three-dimensional (3D) interaction. Just like RST allows users to directly manipulate 2D contexts with two or more points, our method allows the user to directly manipulate 3D objects with three or more points. We show some novel interactions, which take perspective into account and are thus not available in orthographic environments. Furthermore, we identify key ambiguities and unexpected …