{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T05:17:44Z","timestamp":1698124664522},"reference-count":14,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2005,10,20]],"date-time":"2005-10-20T00:00:00Z","timestamp":1129766400000},"content-version":"vor","delay-in-days":4889,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Imaging Syst Tech"],"published-print":{"date-parts":[[1992,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>One of the central problems in dynamic computer vision is the determination of motion from correspondence of points on the visible surface of a moving object obtained at two different times. In the problem we consider, the initial position of several feature points on some object is assumed to be known. Then at some later time instant the corresponding perspective projection of those points is given. The moving body may be nonrigid or the measurements may be corrupted with noise. In either case, we determine the multiplicity of possible solution for the best\u2010fitting rigid motion. We show that whenever at least three point correspondences are given, there are at most two possible solutions for the best\u2010fitting rigid motion if the object space is two\u2010dimensional, while there are at most forty possible solutions if the object space is three\u2010dimensional. In the latter case the number of possible solutions drops to four if three point correspondence are known, the body is rigid, and the measurements are noise\u2010free. Several examples are worked out to illustrate our results.\u00a91994 John Wiley &amp; Sons Inc<\/jats:p>","DOI":"10.1002\/ima.1850040206","type":"journal-article","created":{"date-parts":[[2007,3,5]],"date-time":"2007-03-05T22:27:32Z","timestamp":1173133652000},"page":"122-129","source":"Crossref","is-referenced-by-count":0,"title":["Optimum rigid motion with one perspective view"],"prefix":"10.1002","volume":"4","author":[{"given":"Robert J.","family":"Holt","sequence":"first","affiliation":[]},{"given":"Arun N.","family":"Netravali","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2005,10,20]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/5.5965"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00054997"},{"key":"e_1_2_1_4_2","unstructured":"R. J.HoltandA. N.Netravali \u201cMotion and structure from multiple frame correspondence \u201d AT&T Technical Memorandum No. 11256\u2010900706.01TM 1990."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/ima.1850010110"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00127824"},{"key":"e_1_2_1_7_2","volume-title":"Interpretation of Visual Motion: A Computational Study","author":"Subbarao M.","year":"1988"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","unstructured":"S.Ullman \u201cMaximizing ridigity: The incremental recovery of 3\u2010D structure from rigid and rubbery motion \u201d MIT A. I. Memo No. 721 1983.","DOI":"10.1068\/p130255"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.1988.0020"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(89)90099-4"},{"key":"e_1_2_1_11_2","unstructured":"T. S.HuangandA. N.Netravali \u201cMotion and structure from feature correspondence: A review \u201dProc. IEEE submitted."},{"key":"e_1_2_1_12_2","unstructured":"M.Stillman M.StillmanandD.Bayer Macaulay User's Manual Version 3.0 1989."},{"key":"e_1_2_1_13_2","volume-title":"Maple V User's Guide","author":"Char B. 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