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<p>The necessary and sufficient conditions that an object should satisfy so that motion can be uniquely determined by a direct method are discussed. This direct method, based on the temporal-spatial gradient scheme, can estimate the three-dimensional (3-) motion parameters of a rigid moving object from an image sequence, by utilizing depth information of the object. It is shown that the 3-D motion cannot be uniquely determined for only eight kinds of objects with special geometric structure and surface pattern.</p>
picture processing; pattern recognition; parameter estimation; general aperture problem; direct estimation; 3-D motion parameters; necessary and sufficient conditions; temporal-spatial gradient scheme; geometric structure; surface pattern; parameter estimation; pattern recognition; picture processing
M. Yamamoto, "A General Aperture Problem for Direct Estimation of 3-D Motion Parameters", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 11, no. , pp. 528-536, May 1989, doi:10.1109/34.24785
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