{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T06:10:57Z","timestamp":1697955057821},"reference-count":10,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2007,3,21]],"date-time":"2007-03-21T00:00:00Z","timestamp":1174435200000},"content-version":"vor","delay-in-days":6653,"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":[[1989,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper describes a problem of estimating a kinematically characteristic point of a rigid body moving in a three\u2010dimensional (3\u2010D) space. We call this point the 1\u2010D characteristic point and denote it by <jats:italic>P<\/jats:italic><jats:sup>1<\/jats:sup>. The point <jats:italic>P<\/jats:italic><jats:sup>1<\/jats:sup> is characterized by its motion range which forms a curved line. Hence, if the rigid body moves periodically, we can specify <jats:italic>P<\/jats:italic><jats:sup>1<\/jats:sup> as a point which moves reciprocally. This paper proposes a method of estimating <jats:italic>P<\/jats:italic><jats:sup>1<\/jats:sup>. By projecting the orbit of a point onto three planes orthogonal with each other, we reduce this estimation problem to that of solving a set of quadratic equations, and we then provide one of its solutions. In addition, we clarify how measurement errors of the motion propagate to an estimation of <jats:italic>P<\/jats:italic><jats:sup>1<\/jats:sup>.<\/jats:p>","DOI":"10.1002\/scj.4690200708","type":"journal-article","created":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T18:08:56Z","timestamp":1183831736000},"page":"72-82","source":"Crossref","is-referenced-by-count":0,"title":["A method of extracting a kinematically characteristic point from the 3\u2010dimensional motion of a rigid body"],"prefix":"10.1002","volume":"20","author":[{"given":"Toyohiko","family":"Hayashi","sequence":"first","affiliation":[]},{"given":"Hidemitsu","family":"Ogawa","sequence":"additional","affiliation":[]},{"given":"Taizo","family":"Iijima","sequence":"additional","affiliation":[]}],"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.12.350"},{"issue":"6","key":"e_1_2_1_3_2","first-page":"687","article-title":"Understanding three\u2010dimensional motions of objects","volume":"65","author":"Asada Yachida","year":"1983","journal-title":"Trans. I.E.C.E., Japan"},{"issue":"6","key":"e_1_2_1_4_2","first-page":"1157","article-title":"A method of extracting a kinematic characteristic from the motion of a rigid body\u2013estimation of the reciprocating point of a rigid body moving periodically in a two\u2010dimensional space","volume":"70","author":"Hayashi","year":"1987","journal-title":"Trans. I.E.C.E., Japan"},{"issue":"9","key":"e_1_2_1_5_2","first-page":"1801","article-title":"Estimation of the reciprocating point of a rigid body moving periodically in a two\u2010dimensional space\u2013An iterative method using a correspondence between the forward path and the backward path","volume":"70","author":"Hayashi Ogawa","year":"1987","journal-title":"Trans. I.E.C.E., Japan"},{"key":"e_1_2_1_6_2","article-title":"A method of extracting a kinematic characteristic from the three\u2010dimensional motion of a rigid body\u2013Estimation of the one\u2010dimensional characteristic point","volume":"87","author":"Hayashi Ogawa","year":"1987","journal-title":"Tech. Paper I.E.C.E., Japan"},{"key":"e_1_2_1_7_2","volume-title":"Iwanami Dictionary of Mathematics, Ver. 3","year":"1983"},{"key":"e_1_2_1_8_2","first-page":"51","volume-title":"Affine Geometry and Projective Geometry","author":"Kawada","year":"1976"},{"key":"e_1_2_1_9_2","volume-title":"Vector and Tensor","author":"Iri","year":"1973"},{"issue":"6","key":"e_1_2_1_10_2","first-page":"369","article-title":"Dynamics and control of robot\u2013I","volume":"29","author":"Arimoto Suguru","year":"1975","journal-title":"System and Control"},{"key":"e_1_2_1_11_2","first-page":"616","volume-title":"Iwanami Dictionary of Physics and Chemistry, Ver. 3","author":"Tamamushi","year":"1981"}],"container-title":["Systems and Computers in Japan"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fscj.4690200708","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/scj.4690200708","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T16:53:02Z","timestamp":1697907182000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/scj.4690200708"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,1]]},"references-count":10,"journal-issue":{"issue":"7","published-print":{"date-parts":[[1989,1]]}},"alternative-id":["10.1002\/scj.4690200708"],"URL":"https:\/\/doi.org\/10.1002\/scj.4690200708","archive":["Portico"],"relation":{},"ISSN":["0882-1666","1520-684X"],"issn-type":[{"value":"0882-1666","type":"print"},{"value":"1520-684X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,1]]}}}