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We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>\u221e<\/jats:sup>\n            -continuous with explicit nonsingular\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>\u221e<\/jats:sup>\n            parameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.\n          <\/jats:p>","DOI":"10.1145\/1015706.1015714","type":"journal-article","created":{"date-parts":[[2004,10,7]],"date-time":"2004-10-07T17:38:56Z","timestamp":1097170736000},"page":"271-275","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":74,"title":["A simple manifold-based construction of surfaces of arbitrary smoothness"],"prefix":"10.1145","volume":"23","author":[{"given":"Lexing","family":"Ying","sequence":"first","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Denis","family":"Zorin","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2004,8]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8396(97)00005-8"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6714"},{"key":"e_1_2_2_3_1","volume-title":"A., DEROSE, A.","author":"DUCHAMP T.","year":"1997","unstructured":"DUCHAMP, T., CERTAIN, A., DEROSE, A., AND STUETZLE, W. 1997. 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