{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T13:34:31Z","timestamp":1725543271353},"publisher-location":"Berlin, Heidelberg","reference-count":27,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540367116"},{"type":"electronic","value":"9783540368656"}],"license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11802914_30","type":"book-chapter","created":{"date-parts":[[2006,7,17]],"date-time":"2006-07-17T11:55:21Z","timestamp":1153137321000},"page":"423-440","source":"Crossref","is-referenced-by-count":1,"title":["Composite $\\sqrt{2}$ Subdivision Surfaces"],"prefix":"10.1007","author":[{"given":"Guiqing","family":"Li","sequence":"first","affiliation":[]},{"given":"Weiyin","family":"Ma","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"2","key":"30_CR1","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/0146-664X(80)90040-4","volume":"14","author":"E. Cohen","year":"1980","unstructured":"Cohen, E., Lyche, T., Riesenfeld, R.: Discrete b-splines and subdivision techniques in computer aided geometric design and computer graphics. Computer Graphics and Image Processing\u00a014(2), 87\u2013111 (1980)","journal-title":"Computer Graphics and Image Processing"},{"key":"30_CR2","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1006\/acha.1996.0015","volume":"3","author":"W. Sweldens","year":"1996","unstructured":"Sweldens, W.: The lifting scheme: a custom-design construction of biorthogonal wavelets. Applied and Computational Harmonic Analysis\u00a03, 186\u2013200 (1996)","journal-title":"Applied and Computational Harmonic Analysis"},{"key":"30_CR3","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/s00607-003-0044-0","volume":"72","author":"M. Bertram","year":"2004","unstructured":"Bertram, M.: Biorthogonal Loop-Subdivision Wavelets. Computing\u00a072, 29\u201339 (2004)","journal-title":"Computing"},{"issue":"5","key":"30_CR4","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1016\/S0167-8396(01)00040-1","volume":"18","author":"D. Zorin","year":"2001","unstructured":"Zorin, D., Schr\u00f6der, P.: A unified framework for primal\/dual quadrilateral subdivision scheme. Computer Aided Geometric Design\u00a018(5), 429\u2013454 (2001)","journal-title":"Computer Aided Geometric Design"},{"key":"30_CR5","doi-asserted-by":"crossref","unstructured":"Stam, J.: On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree. Computer Aided Geometric Design\u00a018(5), 383\u2013396","DOI":"10.1016\/S0167-8396(01)00038-3"},{"key":"30_CR6","doi-asserted-by":"crossref","unstructured":"Doo, D., Sabin, M.: Behaviour of recursive division surfaces near extraordinary points. Computer-Aided Design\u00a010(6), 356\u2013360","DOI":"10.1016\/0010-4485(78)90111-2"},{"issue":"6","key":"30_CR7","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/0010-4485(78)90110-0","volume":"10","author":"E. Catmull","year":"1978","unstructured":"Catmull, E., Clark, J.: Recursively generated B-spline surfaces on arbitrary topological meshes. Computer-Aided Design\u00a010(6), 350\u2013355 (1978)","journal-title":"Computer-Aided Design"},{"issue":"2","key":"30_CR8","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/S0167-8396(03)00026-8","volume":"20","author":"P. Oswald","year":"2003","unstructured":"Oswald, P., Schr\u00f6der, P.: Composite Primal\/Dual \n                    \n                      \n                    \n                    $\\sqrt{3}$\n                   -Subdivision Schemes. Computer Aided Geometric Design\u00a020(2), 135\u2013164 (2003)","journal-title":"Computer Aided Geometric Design"},{"key":"30_CR9","doi-asserted-by":"crossref","unstructured":"Kobbelt, L.: \n                    \n                      \n                    \n                    $\\sqrt{3}$\n                   -Subdivision. In: SIGGRAPH 2000, pp. 103\u2013112 (2000)","DOI":"10.1145\/344779.344835"},{"issue":"7","key":"30_CR10","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1016\/j.cagd.2005.06.009","volume":"22","author":"P. Oswald","year":"2005","unstructured":"Oswald, P.: Designing composite triangular subdivision schemes. Computer Aided Geometric Design\u00a022(7), 659\u2013679 (2005)","journal-title":"Computer Aided Geometric Design"},{"issue":"3","key":"30_CR11","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1111\/1467-8659.00540","volume":"20","author":"J. Maillot","year":"2001","unstructured":"Maillot, J., Stam, J.: A unified subdivision scheme for polygonal modeling. Computer Graphics Forum (Eurographics 2001)\u00a020(3), 471\u2013479 (2001)","journal-title":"Computer Graphics Forum (Eurographics 2001)"},{"issue":"3","key":"30_CR12","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1109\/MCG.2004.1297015","volume":"24","author":"J. Warren","year":"2004","unstructured":"Warren, J., Schaefer, S.: A factored approach to subdivision surfaces. Computer Graphics & Applications\u00a024(3), 74\u201381 (2004)","journal-title":"Computer Graphics & Applications"},{"issue":"1","key":"30_CR13","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1111\/1467-8659.t01-2-00647","volume":"22","author":"J. Stam","year":"2003","unstructured":"Stam, J., Loop, C.: Quad\/triangle subdivision. Computer Graphics Forum\u00a022(1), 79\u201385 (2003)","journal-title":"Computer Graphics Forum"},{"issue":"3","key":"30_CR14","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1080\/10867651.2000.10487526","volume":"5","author":"L. Velho","year":"2000","unstructured":"Velho, L.: Using semi-regular 4\u20138 meshes for subdivision surfaces. Journal of Graphics Tool\u00a05(3), 35\u201347 (2000)","journal-title":"Journal of Graphics Tool"},{"key":"30_CR15","unstructured":"Velho, L.: Stellar subdivision grammars. In: Eurographics Symposium on Geometry Processing, pp. 188\u2013199 (2003)"},{"issue":"4","key":"30_CR16","doi-asserted-by":"publisher","first-page":"420","DOI":"10.1145\/263834.263851","volume":"16","author":"J. Peters","year":"1997","unstructured":"Peters, J., Reif, U.: The simplest subdivision scheme for smoothing polyhedra. ACM Transactions on Graphics\u00a016(4), 420\u2013431 (1997)","journal-title":"ACM Transactions on Graphics"},{"issue":"4","key":"30_CR17","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/S0167-8396(98)00045-4","volume":"16","author":"A. Habib","year":"1999","unstructured":"Habib, A., Warren, J.: Edge and vertex insertion for a class of subdivision surfaces. Computer Aided Geometric Design\u00a016(4), 223\u2013247 (1999)","journal-title":"Computer Aided Geometric Design"},{"issue":"5","key":"30_CR18","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/S0167-8396(01)00039-5","volume":"18","author":"L. Velho","year":"2001","unstructured":"Velho, L., Zorin, D.: 4-8 Subdivision. Computer Aided Geometric Design\u00a018(5), 397\u2013427 (2001)","journal-title":"Computer Aided Geometric Design"},{"issue":"2-3","key":"30_CR19","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1007\/s00371-003-0238-7","volume":"20","author":"G. Li","year":"2004","unstructured":"Li, G., Ma, W., Bao, H.: Subdivision for Quadrilateral meshes. The Visual Computer\u00a020(2-3), 180\u2013198 (2004)","journal-title":"The Visual Computer"},{"key":"30_CR20","unstructured":"Li, G., Ma, W., Bao, H.: Interpolatory -Subdivision surfaces. In: Proceedings of Geometric Modeling and Processing 2004, pp. 180\u2013189 (2004)"},{"issue":"3","key":"30_CR21","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1111\/1467-8659.1530409","volume":"15","author":"L. Kobbelt","year":"1996","unstructured":"Kobbelt, L.: Interpolatory subdivision on open quadrilateral nets with arbitrary topology. Computer Graphics Forum (Proceedings of EUROGRAPHICS 1996)\u00a015(3), 409\u2013410 (1996)","journal-title":"Computer Graphics Forum (Proceedings of EUROGRAPHICS 1996)"},{"key":"30_CR22","unstructured":"Li, G., Ma, W.: A method for constructing interpolatory subdivision schemes and blending subdivisions (2005) (Submitted for publication)"},{"key":"30_CR23","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-04919-8","volume-title":"B\u00e9zier and B-Spline Techniques","author":"H. Prautzsch","year":"2002","unstructured":"Prautzsch, H., Boehm, W., Paluszny, M.: B\u00e9zier and B-Spline Techniques. Springer, Berlin (2002)"},{"key":"30_CR24","volume-title":"Subdivision Methods for Geometric Design: A Constructive Approach","author":"J. Warren","year":"2002","unstructured":"Warren, J., Weimer: Subdivision Methods for Geometric Design: A Constructive Approach. Morgan Kaufmann Publisher, San Francisco (2002)"},{"key":"30_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2244-4","volume-title":"Box Splines","author":"C. Boor de","year":"1993","unstructured":"de Boor, C., Hollig, K., Riemenschneiger, S.: Box Splines. Springer, New York (1993)"},{"issue":"1","key":"30_CR26","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.cag.2003.10.005","volume":"28","author":"A. Sovakar","year":"2004","unstructured":"Sovakar, A., Kobbelt, L.: API design for adaptive subdivision schemes. Computer & Graphics\u00a028(1), 67\u201372 (2004)","journal-title":"Computer & Graphics"},{"key":"30_CR27","unstructured":"Li, G., Ma, W.: Adaptive unified subdivisions with sharp features (preprint, 2006)"}],"container-title":["Lecture Notes in Computer Science","Geometric Modeling and Processing - GMP 2006"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11802914_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T13:23:59Z","timestamp":1558272239000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11802914_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540367116","9783540368656"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/11802914_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}