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Such control nets appear naturally for surfaces with the combinatorial structure of objects of revolution and at points of high valence in subdivision meshes. The resulting surfaces are\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>2<\/jats:sup>\n            except at a finite number of isolated points where the surface is\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>1<\/jats:sup>\n            and the curvature is bounded.\n          <\/jats:p>","DOI":"10.1145\/1289603.1289605","type":"journal-article","created":{"date-parts":[[2007,11,15]],"date-time":"2007-11-15T14:26:02Z","timestamp":1195136762000},"page":"14","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":28,"title":["Bicubic polar subdivision"],"prefix":"10.1145","volume":"26","author":[{"given":"K\u0229stutis","family":"Kar\u010diauskas","sequence":"first","affiliation":[{"name":"Vilnius University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J\u00f6rg","family":"Peters","sequence":"additional","affiliation":[{"name":"University of Florida"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2007,10]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4485(78)90110-0"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280826"},{"key":"e_1_2_1_3_1","volume-title":"Proceedings of Symposium of Graphics Processing (SGP)","author":"Ginkel I.","unstructured":"Ginkel , I. and Umlauf , G . 2006. Loop subdivision with curvature control . In Proceedings of Symposium of Graphics Processing (SGP) . Cagliari, Italy, A. Scheffer and K. Polthier, Eds. ACM Press, 163--172. Ginkel, I. and Umlauf, G. 2006. Loop subdivision with curvature control. In Proceedings of Symposium of Graphics Processing (SGP). Cagliari, Italy, A. Scheffer and K. Polthier, Eds. ACM Press, 163--172."},{"key":"e_1_2_1_4_1","volume-title":"Proceedings of Symposium of Graphics Processing (SGP)","author":"Kar\u010diauskas K.","unstructured":"Kar\u010diauskas , K. , Myles , A. , and Peters , J . 2006. A C2 polar jet subdivision . In Proceedings of Symposium of Graphics Processing (SGP) . Cagliari, Italy, A. Scheffer and K. Polthier, Eds. ACM Press, 173--180. Kar\u010diauskas, K., Myles, A., and Peters, J. 2006. A C2 polar jet subdivision. In Proceedings of Symposium of Graphics Processing (SGP). Cagliari, Italy, A. Scheffer and K. Polthier, Eds. ACM Press, 173--180."},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-006-0207-x"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2004.04.005"},{"key":"e_1_2_1_7_1","volume-title":"Curve and Surface Fitting, Saint-Malo.","author":"Loop C.","unstructured":"Loop , C. 2002. Smooth ternary subdivision of triangle meshes . In Curve and Surface Fitting, Saint-Malo. Vol. 10 . Nashboro Press , 3--6. Loop, C. 2002. Smooth ternary subdivision of triangle meshes. In Curve and Surface Fitting, Saint-Malo. Vol. 10. Nashboro Press, 3--6."},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8396(01)00043-7"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/PG.2007.24"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142996304346"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/1027411.1027415"},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(94)00007-F"},{"key":"e_1_2_1_13_1","volume-title":"Curves and Surfaces, L. S. P.J. Laurent, A. LeM\u00e9haut\u00e9, Ed","author":"Sabin M.","unstructured":"Sabin , M. 1991. Cubic recursive division with bounded curvature . In Curves and Surfaces, L. S. P.J. Laurent, A. LeM\u00e9haut\u00e9, Ed . Academic Press , 411--414. Sabin, M. 1991. Cubic recursive division with bounded curvature. In Curves and Surfaces, L. S. P.J. Laurent, A. LeM\u00e9haut\u00e9, Ed. Academic Press, 411--414."},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/1037957.1037959"},{"key":"e_1_2_1_15_1","first-page":"79","article-title":"Quad\/triangle subdivision","volume":"22","author":"Stam J.","year":"2003","unstructured":"Stam , J. and Loop , C. T. 2003 . Quad\/triangle subdivision . Comput. Graph. For. 22 , 1, 79 -- 86 . Stam, J. and Loop, C. T. 2003. Quad\/triangle subdivision. Comput. Graph. For. 22, 1, 79--86.","journal-title":"Comput. Graph. 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