{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T20:45:23Z","timestamp":1698007523167},"reference-count":10,"publisher":"Wiley","issue":"10","license":[{"start":{"date-parts":[[2007,3,21]],"date-time":"2007-03-21T00:00:00Z","timestamp":1174435200000},"content-version":"vor","delay-in-days":7384,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems &amp;amp; Computers in Japan"],"published-print":{"date-parts":[[1987,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In the problem of estimating three\u2010dimensional positions of a rigid body from projection data of marked points fixed set to it onto a two\u2010dimensional plane. We propose a method using positional relations among the marked points.<\/jats:p><jats:p>To estimate the positions of the marked points by optical measurement, multiple projection data are generally used at each point. In measuring multiple points attached on a rigid body, it is possible to estimate three\u2010dimensional positions of the points from only a single projection datum at each point, if the position of each point on the rigid body is known. In this paper, the problem formulated is of three marked points (the least necessary number to estimate the position of a rigid body). The solution is given by an iterative approximation.<\/jats:p><jats:p>Furthermore, the relation between the measurement method and the convergence of the iterative approximation is analyzed. Observation is best obtained from this point of view. An instrument to measure three\u2010dimensional movement of the human jaw is introduced.<\/jats:p>","DOI":"10.1002\/scj.4690181006","type":"journal-article","created":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T13:03:05Z","timestamp":1183813385000},"page":"58-67","source":"Crossref","is-referenced-by-count":0,"title":["A method of recognizing three\u2010dimensional position of a rigid body using its shape\u2010formulation of the problem and its solution by an iteration method"],"prefix":"10.1002","volume":"18","author":[{"given":"Toyohiko","family":"Hayashi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Taizo","family":"Iijima","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2007,3,21]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2186\/jjps.25.641"},{"key":"e_1_2_1_3_2","article-title":"Circuit configuration of an optically noncontact measuring instrument of jaw movement","volume":"81","author":"Hayashi Tawada","year":"1981","journal-title":"Tech. Paper I. E. C. E., Japan"},{"key":"e_1_2_1_4_2","article-title":"Error correction method of an optically noncontact measuring instrument of jaw movement","volume":"82","author":"Hayashi Tawada","year":"1982","journal-title":"Tech. Paper I. E. C. E., Japan"},{"key":"e_1_2_1_5_2","article-title":"On measurement principle and accuracy of electropantograph","volume":"83","author":"Hayashi Kato","year":"1983","journal-title":"Tech. Paper I. E. C. E., Japan"},{"key":"e_1_2_1_6_2","first-page":"28","article-title":"Development of an optically noncontact measuring system of three\u2010dimensional jaw movement","volume":"23","author":"Hayashi Tawada","year":"1985","journal-title":"Japanese Journ. of Med. Elec. and Bio Eng."},{"key":"e_1_2_1_7_2","article-title":"A recognition method of body positions using shape information","volume":"85","author":"Hayashi","year":"1985","journal-title":"Tech. Paper I. E. C. E., Japan"},{"key":"e_1_2_1_8_2","article-title":"A recognition method of body positions using shape information (2)\u2014error analysis and optimization of measuring system","volume":"86","author":"Hayashi","year":"1986","journal-title":"Tech. Paper I. E. C. E., Japan"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-3913(67)90048-0"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.2186\/jjps.23.677"},{"key":"e_1_2_1_11_2","first-page":"270","volume-title":"Optimization by vector space methods (Japanese Translation)","author":"Luenberger D. G.","year":"1980"}],"container-title":["Systems and Computers in Japan"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fscj.4690181006","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/scj.4690181006","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T03:46:50Z","timestamp":1697860010000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/scj.4690181006"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,1]]},"references-count":10,"journal-issue":{"issue":"10","published-print":{"date-parts":[[1987,1]]}},"alternative-id":["10.1002\/scj.4690181006"],"URL":"https:\/\/doi.org\/10.1002\/scj.4690181006","archive":["Portico"],"relation":{},"ISSN":["0882-1666","1520-684X"],"issn-type":[{"value":"0882-1666","type":"print"},{"value":"1520-684X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,1]]}}}