{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T05:54:50Z","timestamp":1776664490453,"version":"3.51.2"},"reference-count":0,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2003,2,7]],"date-time":"2003-02-07T00:00:00Z","timestamp":1044576000000},"content-version":"vor","delay-in-days":3781,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Computer Graphics Forum"],"published-print":{"date-parts":[[1992,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, a new method is presented for representing conics precisely using NURBS of degree two. The method requires only four control vertices to represent a full circle using the full circumscribing square\u2010based representation, which is less than the number required with the other methods using the square control vertex configuration.9, 10, 13 The paper also derives a new condition for NURBS to represent conics precisely and shows the sufficient and necessary conditions for representation of a circular arc, and gives the definition and the knot vector formulae of a periodic NURBS curve.<\/jats:p>","DOI":"10.1111\/1467-8659.1150285","type":"journal-article","created":{"date-parts":[[2003,3,11]],"date-time":"2003-03-11T11:31:22Z","timestamp":1047382282000},"page":"285-291","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Representing Conics using NURBS of Degree Two*"],"prefix":"10.1111","volume":"11","author":[{"given":"Kaihuai","family":"Qin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiaguang","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuefu","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2003,2,7]]},"container-title":["Computer Graphics Forum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-8659.1150285","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1111\/1467-8659.1150285","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T11:39:49Z","timestamp":1698061189000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/1467-8659.1150285"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,10]]},"references-count":0,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1992,10]]}},"alternative-id":["10.1111\/1467-8659.1150285"],"URL":"https:\/\/doi.org\/10.1111\/1467-8659.1150285","archive":["Portico"],"relation":{},"ISSN":["0167-7055","1467-8659"],"issn-type":[{"value":"0167-7055","type":"print"},{"value":"1467-8659","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,10]]},"assertion":[{"value":"2003-02-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}