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In this paper, we study the problem of reconstructing the polyhedral structures of a general nD polyhedral scene from its single 2D line drawing. With the idea of local construction and propagation, we propose a number of powerful techniques for general face identification. Our reconstruction algorithm, called “nDView”, is tested by all the 3D examples we found in the literature, plus a number of 4D and 5D examples we devised. Our algorithm does not prerequire the dimension n of the object nor the dimension m of its surrounding space be given, and allows the object to be a non-manifold in which neighboring faces can be coplanar. Another striking feature is its efficiency: our algorithm can handle 3D solids of over 10,000 faces, with a speed 100 times as fast as the fastest existing algorithms on 2D polyhedral manifold reconstruction.

A FAST ALGORITHM FOR N D POLYHEDRAL SCENE PERCEPTION FROM A SINGLE 2D LINE DRAWING