A fundamental problem in computer vision and graphics is that of arbitrary view synthesis for static 3-D scenes, whereby a user-specified viewpoint of the given scene may be created directly from a representation. We propose a novel compact representation for this purpose called the multivalued representation (MVR). Starting with an image sequence captured by a moving camera undergoing either unknown planar translation or orbital motion, a MVR is derived for each preselected reference frame, and may then be used to synthesize arbitrary views of the scene. The representation itself is comprised of multiple depth and intensity levels in which the k-th level consists of points occluded by exactly k surfaces. To build a MVR with respect to a particular reference frame, dense depth maps are first computed for all the neighboring frames of the reference frame. The depth maps are then combined together into a single map, where points are organized by occlusions rather than by coherent affine motions. This grouping facilitates an automatic process to determine the number of levels and helps to reduce the artifacts caused by occlusions in the scene. An iterative multiframe algorithm is presented for dense depth estimation that both handles low-contrast regions and produces piecewise smooth depth maps. Reconstructed views as well as arbitrary flyarounds of real scenes are presented to demonstrate the effectiveness of the approach.

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