{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T07:30:58Z","timestamp":1697959858434},"reference-count":18,"publisher":"Association for Computing Machinery (ACM)","issue":"4","content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[1989,10]]},"abstract":"\n A new definition of geometric continuity for implicitly defined surfaces is introduced. Under this definition, it is shown that algebraic\n blending<\/jats:italic>\n surfaces (surfaces that smoothly join two or more surfaces) have a very specific form. In particular, any polynomial whose zero set blends the zero sets of several other polynomials is always expressible as a simple combination of these polynomials. Using this result, new methods for blending several algebraic surfaces simultaneously are derived.\n <\/jats:p>","DOI":"10.1145\/77269.77270","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:29:00Z","timestamp":1027769340000},"page":"263-278","update-policy":"http:\/\/dx.doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":85,"title":["Blending algebraic surfaces"],"prefix":"10.1145","volume":"8","author":[{"given":"J.","family":"Warren","sequence":"first","affiliation":[{"name":"Rice University"}]}],"member":"320","published-online":{"date-parts":[[1989,10]]},"reference":[{"key":"e_1_2_1_1_2","unstructured":"DEROSE T. Geometric continuity: A parameterization independent measure of continuity for computer aided geometric design. Ph.D. dissertation Department of Computer Science University of California at Berkeley 1985. DEROSE T. 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Springer Verlag New York 1958."},{"key":"e_1_2_1_16_1","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1007\/BF01898351","volume":"1","author":"HOFFMANN C.","year":"1985","journal-title":"The Visual Computer"},{"key":"e_1_2_1_17_1","volume-title":"Rochester","author":"ROSSIGNAC J.","year":"1985"},{"key":"e_1_2_1_18_1","volume-title":"Springer Verlag","author":"SHAFAREVICH I.","year":"1974"},{"key":"e_1_2_1_19_1","unstructured":"VAN DER WAERDEN B. Modern Algebra L Frederick Unger New York 1949. VAN DER WAERDEN B. Modern Algebra L Frederick Unger New York 1949."}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/77269.77270","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,3]],"date-time":"2023-01-03T10:31:47Z","timestamp":1672741907000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/77269.77270"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,10]]},"references-count":18,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1989,10]]}},"alternative-id":["10.1145\/77269.77270"],"URL":"http:\/\/dx.doi.org\/10.1145\/77269.77270","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":["Computer Graphics and Computer-Aided Design"],"published":{"date-parts":[[1989,10]]},"assertion":[{"value":"1989-10-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}