{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:08:20Z","timestamp":1758823700129},"reference-count":28,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1984,9,1]],"date-time":"1984-09-01T00:00:00Z","timestamp":462844800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":10546,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[1984,9]]},"DOI":"10.1016\/0166-218x(84)90092-1","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:01Z","timestamp":1027654981000},"page":"77-104","source":"Crossref","is-referenced-by-count":19,"title":["An algebraic and combinatorial approach to the analysis of line drawings of polyhedra"],"prefix":"10.1016","volume":"9","author":[{"given":"K\u014dkichi","family":"Sugihara","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0166-218X(84)90092-1_BIB1","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0004-3702(71)90005-1","article-title":"On seeing things","volume":"2","author":"Clowes","year":"1971","journal-title":"Artificial Intelligence"},{"key":"10.1016\/0166-218X(84)90092-1_BIB2","series-title":"Graphical Statics","author":"Cremona","year":"1890"},{"key":"10.1016\/0166-218X(84)90092-1_BIB3","series-title":"Linear Programming and Extensions","author":"Dantzig","year":"1963"},{"key":"10.1016\/0166-218X(84)90092-1_BIB4","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1068\/p070283","article-title":"The Penrose triangle and a family of related figures","volume":"7","author":"Draper","year":"1978","journal-title":"Perception"},{"key":"10.1016\/0166-218X(84)90092-1_BIB5","series-title":"Convex Polytopes","author":"Gr\u00fcnbaum","year":"1976"},{"key":"10.1016\/0166-218X(84)90092-1_BIB6","series-title":"Proektivnaya Geometriya","author":"Gurevich","year":"1960"},{"key":"10.1016\/0166-218X(84)90092-1_BIB7","series-title":"Konstruktive Geometrie in der Technik","author":"Hohenberg","year":"1966"},{"key":"10.1016\/0166-218X(84)90092-1_BIB8","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0004-3702(77)90020-0","article-title":"Understanding image intensities","volume":"8","author":"Horn","year":"1977","journal-title":"Artificial Intelligence"},{"key":"10.1016\/0166-218X(84)90092-1_BIB9","first-page":"295","article-title":"Impossible objects as nonsense sentences","volume":"6","author":"Huffman","year":"1971"},{"key":"10.1016\/0166-218X(84)90092-1_BIB10","doi-asserted-by":"crossref","first-page":"1010","DOI":"10.1109\/TC.1976.1674542","article-title":"Curvature and creases: A primer on paper","volume":"C-25","author":"Huffman","year":"1976","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/0166-218X(84)90092-1_BIB11","first-page":"475","article-title":"A duality concept for the analysis of polyhedral scenes","volume":"8","author":"Huffman","year":"1977"},{"key":"10.1016\/0166-218X(84)90092-1_BIB12","series-title":"A note on Sugihara's \u03bc-nonnegative recognition algorithm","author":"Imai","year":"1981"},{"key":"10.1016\/0166-218X(84)90092-1_BIB13","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/0004-3702(80)90004-1","article-title":"A theory of Origami world","volume":"13","author":"Kanade","year":"1980","journal-title":"Artificial Intelligence"},{"key":"10.1016\/0166-218X(84)90092-1_BIB14","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/0004-3702(81)90031-X","article-title":"Recovery of the three-dimensional shape of an object from a single view","volume":"17","author":"Kanade","year":"1981","journal-title":"Artificial Intelligence"},{"key":"10.1016\/0166-218X(84)90092-1_BIB15","series-title":"Combinatorial Surveys, Proc. 6th British Combin. Conf.","first-page":"45","article-title":"Flats in matroids and geometric graphs","author":"Lov\u00e1sz","year":"1977"},{"key":"10.1016\/0166-218X(84)90092-1_BIB16","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/0004-3702(73)90003-9","article-title":"Interpreting pictures of polyhedral scenes","volume":"4","author":"Mackworth","year":"1973","journal-title":"Artificial Intelligence"},{"key":"10.1016\/0166-218X(84)90092-1_BIB17","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1080\/14786446408643663","article-title":"On reciprocal figures and diagrams of forces","volume":"Vol. 27","author":"Maxwell","year":"1864","journal-title":"Phil. Mag."},{"key":"10.1016\/0166-218X(84)90092-1_BIB18","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1111\/j.2044-8295.1958.tb00634.x","article-title":"Impossible objects \u2013 a special type of illusion","volume":"49","author":"Penrose","year":"1958","journal-title":"Brit. J. Psycho."},{"key":"10.1016\/0166-218X(84)90092-1_BIB19","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1016\/0146-664X(78)90064-3","article-title":"Picture language for skeletal polyhedra","volume":"8","author":"Sugihara","year":"1978","journal-title":"Comput. Gr. Image Process."},{"key":"10.1016\/0166-218X(84)90092-1_BIB20","series-title":"Dr. Eng. Dissertation","article-title":"Studies on Mathematical Structures of Line Drawings of Polyhedra and their Applications to Scene Analysis","author":"Sugihara","year":"1980"},{"key":"10.1016\/0166-218X(84)90092-1_BIB21","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1068\/p110065","article-title":"Classification of impossible objects","volume":"11","author":"Sugihara","year":"1982","journal-title":"Perception"},{"key":"10.1016\/0166-218X(84)90092-1_BIB22","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1109\/TPAMI.1982.4767289","article-title":"Mathematical structures of line drawings of polyhedrons \u2013 Toward man-machine communication by means of line drawings","author":"Sugihara","year":"1982","journal-title":"IEEE Trans. Pattern Anal. Machine Intell. PAMI-4"},{"key":"10.1016\/0166-218X(84)90092-1_BIB23","doi-asserted-by":"crossref","unstructured":"K. Sugihara, A necessary and sufficient condition for a picture to represent a polyhedral scene, IEEE Trans. Pattern Anal. Machine Intell., to appear.","DOI":"10.1109\/TPAMI.1984.4767571"},{"key":"10.1016\/0166-218X(84)90092-1_BIB24","doi-asserted-by":"crossref","unstructured":"K. Sugihara, Detection of structural inconsistency in systems of equations with degrees of freedom and its applications, Discrete Appl. Math., to appear.","DOI":"10.1016\/0166-218X(85)90051-4"},{"key":"10.1016\/0166-218X(84)90092-1_BIB25","series-title":"The Psychology of Computer Vision","first-page":"19","article-title":"Understanding line drawings of scenes with shadows","author":"Waltz","year":"1975"},{"key":"10.1016\/0166-218X(84)90092-1_BIB26","series-title":"Matroid Theory","author":"Welsh","year":"1976"},{"key":"10.1016\/0166-218X(84)90092-1_BIB27","first-page":"46","article-title":"Realizability of polyhedra","volume":"1","author":"Whiteley","year":"1979","journal-title":"Structural Topology"},{"key":"10.1016\/0166-218X(84)90092-1_BIB28","first-page":"13","article-title":"Motions and stresses of projected polyhedra","volume":"7","author":"Whiteley","year":"1982","journal-title":"Structural Topology"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X84900921?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X84900921?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T11:05:05Z","timestamp":1580900705000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166218X84900921"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1984,9]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1984,9]]}},"alternative-id":["0166218X84900921"],"URL":"https:\/\/doi.org\/10.1016\/0166-218x(84)90092-1","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[1984,9]]}}}