%0 Journal Article %1 1979-ullman %A Ullman, S %D 1979 Jan 15 %J Proc R Soc Lond B Biol Sci %K 3d depth from monocular motion structure %N 1153 %P 405-426 %T The interpretation of structure from motion %V 203 %X The interpretation of structure from motion is examined from a computional point of view. The question addressed is how the three dimensional structure and motion of objects can be inferred from the two dimensional transformations of their projected images when no three dimensional information is conveyed by the individual projections. The following scheme is proposed: (i) divide the image into groups of four elements each; (ii) test each group for a rigid interpretation; (iii) combine the results obtained in (ii). It is shown that this scheme will correctly decompose scenes containing arbitrary rigid objects in motion, recovering their three dimensional structure and motion. The analysis is based primarily on the "structure from motion" theorem which states that the structure of four non-coplanar points is recoverable from three orthographic projections. The interpretation scheme is extended to cover perspective projections, and its psychological relevance is discussed.

@article{1979-ullman, abstract = {The interpretation of structure from motion is examined from a computional point of view. The question addressed is how the three dimensional structure and motion of objects can be inferred from the two dimensional transformations of their projected images when no three dimensional information is conveyed by the individual projections. The following scheme is proposed: (i) divide the image into groups of four elements each; (ii) test each group for a rigid interpretation; (iii) combine the results obtained in (ii). It is shown that this scheme will correctly decompose scenes containing arbitrary rigid objects in motion, recovering their three dimensional structure and motion. The analysis is based primarily on the "structure from motion" theorem which states that the structure of four non-coplanar points is recoverable from three orthographic projections. The interpretation scheme is extended to cover perspective projections, and its psychological relevance is discussed.}, added-at = {2021-07-05T14:15:46.000+0200}, au = {Ullman, S}, author = {Ullman, S}, biburl = {https://www.bibsonomy.org/bibtex/228c26fd099b4827cada28d76dd9391d4/pkoch}, da = {19790524}, date-added = {2008-10-14 02:23:10 -0400}, date-modified = {2008-10-14 02:23:10 -0400}, dcom = {19790524}, description = {References for general exam}, edat = {1979/01/15}, interhash = {e61a18e0dfdc29ce3e848f794737e4dc}, intrahash = {28c26fd099b4827cada28d76dd9391d4}, issn = {0080-4649 (Print)}, jid = {7505889}, journal = {Proc R Soc Lond B Biol Sci}, jt = {Proceedings of the Royal Society of London. Series B, Containing papers of a Biological character. Royal Society (Great Britain)}, keywords = {3d depth from monocular motion structure}, language = {eng}, lr = {20070430}, mh = {Computers; Depth Perception/physiology; Form Perception/*physiology; Humans; *Models, Biological; Motion Perception/*physiology}, mhda = {1979/01/15 00:01}, number = 1153, own = {NLM}, pages = {405-426}, pl = {ENGLAND}, pmid = {34162}, pst = {ppublish}, pt = {Journal Article}, pubm = {Print}, sb = {IM; S}, so = {Proc R Soc Lond B Biol Sci. 1979 Jan 15;203(1153):405-26.}, stat = {MEDLINE}, timestamp = {2021-07-05T14:16:11.000+0200}, title = {The interpretation of structure from motion}, volume = 203, year = {1979 Jan 15} }