{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,29]],"date-time":"2026-06-29T12:27:10Z","timestamp":1782736030304,"version":"3.54.5"},"reference-count":15,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2016,7,11]],"date-time":"2016-07-11T00:00:00Z","timestamp":1468195200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2016,7,11]]},"abstract":"<jats:p>\n            This paper develops new refinement rules for non-uniform Catmull-Clark surfaces that produce\n            <jats:italic>G<\/jats:italic>\n            <jats:sup>1<\/jats:sup>\n            extraordinary points whose blending functions have a single local maximum. The method consists of designing an \"eigen polyhedron\" in R\n            <jats:sup>2<\/jats:sup>\n            for each extraordinary point, and formulating refinement rules for which refinement of the eigen polyhedron reduces to a scale and translation. These refinement rules, when applied to a non-uniform Catmull-Clark control mesh in R\n            <jats:sup>3<\/jats:sup>\n            , yield a\n            <jats:italic>G<\/jats:italic>\n            <jats:sup>1<\/jats:sup>\n            extraordinary point.\n          <\/jats:p>","DOI":"10.1145\/2897824.2925924","type":"journal-article","created":{"date-parts":[[2016,7,11]],"date-time":"2016-07-11T16:04:33Z","timestamp":1468253073000},"page":"1-8","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":13,"title":["<i>G<\/i>\n            <sup>1<\/sup>\n            non-uniform Catmull-Clark surfaces"],"prefix":"10.1145","volume":"35","author":[{"given":"Xin","family":"Li","sequence":"first","affiliation":[{"name":"USTC"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G. Thomas","family":"Finnigan","sequence":"additional","affiliation":[{"name":"Autodesk, Inc."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thomas W.","family":"Sederberg","sequence":"additional","affiliation":[{"name":"Brigham Young University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2016,7,11]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/42458.42459"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2009.02.036"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531352"},{"key":"e_1_2_2_4_1","volume-title":"NURBS-compatible subdivision surfaces. Tech. rep","author":"Cashman T. J."},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2015.01.002"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/2766972"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1138450.1138455"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1805964.1805969"},{"key":"e_1_2_2_9_1","doi-asserted-by":"crossref","unstructured":"Peters J. and Reif U. 2008. Subdivision surfaces. Springer.   Peters J. and Reif U. 2008. Subdivision surfaces . 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Private conversation."}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2897824.2925924","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2897824.2925924","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T04:55:04Z","timestamp":1750222504000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2897824.2925924"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,11]]},"references-count":15,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,7,11]]}},"alternative-id":["10.1145\/2897824.2925924"],"URL":"https:\/\/doi.org\/10.1145\/2897824.2925924","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,11]]},"assertion":[{"value":"2016-07-11","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}