{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T08:10:58Z","timestamp":1698048658120},"reference-count":11,"publisher":"Wiley","issue":"9","license":[{"start":{"date-parts":[[2007,9,5]],"date-time":"2007-09-05T00:00:00Z","timestamp":1188950400000},"content-version":"vor","delay-in-days":6821,"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>In a previous paper, we introduced \u201cperspective angle transform\u201d (PAT) to analyze the relationship between an angle seen under the condition of \u201ccentral projection\u201d and an actual angle. The present paper discusses mainly (based on the previous paper) the connotative interpretation of trihedral vertices by using information on an image. This is a problem in reconstructing a three\u2010dimensional (3\u2010D) configuration of the trihedral vertex from a central projection image in which all the angles are known. An algorithm to express this problem is introduced so that the problem can be analyzed. An algebraic solution based on the perspective angle transform is given for a case where at least two of the three angles in a trihedral vertex are right angles (i.e., a two\u2010\u2010orthogonal vertex or a three\u2010orthogonal vertex). The number of solutions and the possibility of their interpretations are also analyzed. A one\u2010dimensional search algorithm (or the examination method for the hypothesis of a normal image) based on the interpretation of the two\u2010orthogonal vertex is introduced for interpretation of a trihedral vertex. The number of solutions is examined statistically by using a computer simulation. This paper will be useful for analyzing scenes and robot\u2010vision, whichever images employ central or parallel projection.<\/jats:p>","DOI":"10.1002\/scj.4690200906","type":"journal-article","created":{"date-parts":[[2009,11,19]],"date-time":"2009-11-19T22:40:04Z","timestamp":1258670404000},"page":"52-68","source":"Crossref","is-referenced-by-count":0,"title":["Configuration Estimate of Trihedral Vertex from a Single View"],"prefix":"10.1002","volume":"20","author":[{"given":"Takeshi","family":"Shakunaga","sequence":"first","affiliation":[]},{"given":"Hiroshi","family":"Kaneko","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,9,6]]},"reference":[{"issue":"10","key":"e_1_2_1_2_2","first-page":"1930","article-title":"Perspective angle transform\u2014Shape from angle","volume":"70","author":"Shakunaga","year":"1987","journal-title":"Trans. I.E.C.E., Japan"},{"key":"e_1_2_1_3_2","unstructured":"T.ShakunagaandH.Kaneko Perspective angle transform and its application to 3\u2010D configuration recovery. Proc. CVPR '86 (1986)."},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","unstructured":"K.Kanatani Camera rotation invariance of image characteristics. Proc. CVPR '86 (1986).","DOI":"10.21236\/ADA171615"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0004-3702(81)90031-X"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.3758\/BF03205849"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.1986.4767809"},{"key":"e_1_2_1_8_2","volume-title":"Dictionary of Geometry","author":"Iwata Shiko","year":"1974"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0004-3702(83)80021-6"},{"key":"e_1_2_1_10_2","article-title":"Choosing a basis for perceptual space","volume":"29","author":"Barnard S. T.","year":"1985","journal-title":"CVGIP"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0004-3702(73)90003-9"},{"key":"e_1_2_1_12_2","unstructured":"ShakunagaandKaneko 3\u2010D Information extraction using perspective\u2010angle transform. Papers of Technical Group on Pattern Recognition and Understanding. I.E.C.E. Japan PRU86\u201083 (Research Report of Institute of Information Processing Japan 87\u201346) (1987)."}],"container-title":["Systems and Computers in Japan"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fscj.4690200906","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fscj.4690200906","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/scj.4690200906","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T13:03:31Z","timestamp":1697979811000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/scj.4690200906"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,1]]},"references-count":11,"journal-issue":{"issue":"9","published-print":{"date-parts":[[1989,1]]}},"alternative-id":["10.1002\/scj.4690200906"],"URL":"https:\/\/doi.org\/10.1002\/scj.4690200906","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]]}}}