{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T05:07:16Z","timestamp":1698037636356},"reference-count":11,"publisher":"Wiley","issue":"11","license":[{"start":{"date-parts":[[2007,3,22]],"date-time":"2007-03-22T00:00:00Z","timestamp":1174521600000},"content-version":"vor","delay-in-days":6289,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems &amp; Computers in Japan"],"published-print":{"date-parts":[[1990,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The single\u2010scanning method has been proposed as a data acquisition method for reconstructing the three\u2010dimensional CT image, where a confronting pair of the cone beam X\u2010ray source and the planar detector are rotated on a circle surrounding the object. This paper discusses the problem of reconstructing the three\u2010dimensional image from the cone beam projection obtained by such a method. The traditional method of image reconstruction for this method is an approximation based on the two\u2010dimensional CT image reconstruction, and has a problem in that the quality of the reconstructed image is deteriorated when the circle on which the X\u2010ray source is moved has a small radius. First, a method is presented by which the problem of image reconstruction by the cone beam projection is reduced to the reconstruction problem by the three\u2010dimensional Radon transform. It is shown that the information required for the image reconstruction by the inverse three\u2010dimensional Radon transform cannot be obtained completely by the single\u2010scanning method. Then the image reconstruction by the two\u2010dimensional incomplete Radon transform is extended to the three\u2010dimensional case, and then applied to the image reconstruction by the cone beam projection. By this method, a mathematical strict image reconstruction can be achieved even by the single\u2010scanning method. The forementioned problem in the traditional method is now solved.<\/jats:p>","DOI":"10.1002\/scj.4690211109","type":"journal-article","created":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T18:44:33Z","timestamp":1183833873000},"page":"86-95","source":"Crossref","is-referenced-by-count":1,"title":["Three\u2010dimensional tomographic image reconstruction from cone beam projections by single scanning method"],"prefix":"10.1002","volume":"21","author":[{"given":"Hiroyuki","family":"Kudo","sequence":"first","affiliation":[]},{"given":"Tsuneo","family":"Saito","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,3,22]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"H.KudoandT.Saito.Three\u2010dimensional CT image reconstruction from cone beam projection. Papers of Technical Group on Information Engineering I.E.I.C.E. Japan IE87\u2010124 (1988)."},{"key":"e_1_2_1_3_2","unstructured":"H.KudoandT.Saito.Three\u2010dimensional CT image reconstruction from cone beam projection by helical scanning. Tech. Rep. I.E.I.C.E. Japan MBE88\u201063 (1988)."},{"issue":"12","key":"e_1_2_1_4_2","first-page":"2784","article-title":"Theoretical study of CT image reconstruction problem\u2014Reconstruction from continuously measured projection data","volume":"70","author":"Kudo H.","year":"1987","journal-title":"Trans. (D), I.E.I.C.E., Japan"},{"issue":"12","key":"e_1_2_1_5_2","first-page":"2784","article-title":"Theoretical study of CT image reconstruction problem\u2014Reconstruction from discretely measured projection data","volume":"70","author":"Kudo H.","year":"1987","journal-title":"Trans. (D), I.E.I.C.E., Japan"},{"key":"e_1_2_1_6_2","volume-title":"Image Reconstruction from Projections","author":"Herman G. T.","year":"1980"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02222467"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.1.000612"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(81)90140-2"},{"issue":"11","key":"e_1_2_1_10_2","first-page":"1862","article-title":"Image reconstruction by constrained extrapolation","volume":"68","author":"Chiba T.","year":"1985","journal-title":"Trans. (D), I.E.I.C.E., Japan"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1364\/JOSA.70.000755"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNS.1984.4333421"}],"container-title":["Systems and Computers in Japan"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fscj.4690211109","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/scj.4690211109","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T19:17:20Z","timestamp":1698002240000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/scj.4690211109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,1]]},"references-count":11,"journal-issue":{"issue":"11","published-print":{"date-parts":[[1990,1]]}},"alternative-id":["10.1002\/scj.4690211109"],"URL":"https:\/\/doi.org\/10.1002\/scj.4690211109","archive":["Portico"],"relation":{},"ISSN":["0882-1666","1520-684X"],"issn-type":[{"value":"0882-1666","type":"print"},{"value":"1520-684X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,1]]}}}