{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T13:34:23Z","timestamp":1725543263181},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540367116"},{"type":"electronic","value":"9783540368656"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11802914_44","type":"book-chapter","created":{"date-parts":[[2006,7,17]],"date-time":"2006-07-17T15:55:21Z","timestamp":1153151721000},"page":"585-594","source":"Crossref","is-referenced-by-count":0,"title":["Computation of Normals for Stationary Subdivision Surfaces"],"prefix":"10.1007","author":[{"given":"Hiroshi","family":"Kawaharada","sequence":"first","affiliation":[]},{"given":"Kokichi","family":"Sugihara","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"44_CR1","unstructured":"Kawaharada, H., Sugihara, K.: ck-continuity of stationary subdivision schemes. METR 2006-01, The University of Tokyo (2006)"},{"key":"44_CR2","unstructured":"Kawaharada, H., Sugihara, K.: c k -continuity for stationary subdivisions at exraordinary points. Computer Aided Geometric Design\u00a0XX (submitted, 2006)"},{"key":"44_CR3","doi-asserted-by":"crossref","unstructured":"Kawaharada, H., Sugihara, K.: Dual subdivision a new class of subdivision schemes using projective duality. METR 2005-01, The University of Tokyo (2005)","DOI":"10.1007\/11537908_15"},{"key":"44_CR4","unstructured":"Loop, C.T.: Smooth subdivision surfaces based on triangles. Master\u2019s thesis, University of Utah, Department of Mathematics (1987)"},{"key":"44_CR5","volume-title":"Subdivision Methods for Geometric Design: A Constructive Approach","author":"J. Warren","year":"1995","unstructured":"Warren, J., Weimer, H.: Subdivision Methods for Geometric Design: A Constructive Approach. Morgan Kaufmann Publishers, San Francisco (1995)"},{"issue":"3","key":"44_CR6","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1007\/s003659910016","volume":"16","author":"D. Zorin","year":"2000","unstructured":"Zorin, D.: Smoothness of stationary subdivision on irregular meshes. Constructive Approximation\u00a016(3), 359\u2013397 (2000)","journal-title":"Constructive Approximation"},{"key":"44_CR7","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/0167-8396(94)00007-F","volume":"12","author":"U. Reif","year":"1995","unstructured":"Reif, U.: A unified approach to subdivision algorithms near extraordinary points. Computer Aided Geometric Design\u00a012, 153\u2013174 (1995)","journal-title":"Computer Aided Geometric Design"},{"key":"44_CR8","unstructured":"Prautzsch, H.: Analysis of ck-subdivision surfaces at extraordinary points. Oberwolfach (preprint, 1995) (presented)"},{"key":"44_CR9","doi-asserted-by":"crossref","unstructured":"Cavaretta, A.S., Dahmen, W., Micchell, C.A.: Stationary subdivision. Memoirs Amer. Math. Soc.\u00a093(453) (1991)","DOI":"10.1090\/memo\/0453"},{"key":"44_CR10","first-page":"335","volume-title":"Recent Advances in Wavelet Analysis","author":"T.N.T. Goodman","year":"1994","unstructured":"Goodman, T.N.T., Micchell, C.A.: Spectral radius formulas for subdivision operators. In: Schumaker, L.L., Webb, G. (eds.) Recent Advances in Wavelet Analysis, pp. 335\u2013360. Academic Press, London (1994)"},{"key":"44_CR11","unstructured":"Zorin, D.: Subdivision and Multiresolution Surface Representations. PhD thesis, University of California Institute of Technology (1997)"},{"key":"44_CR12","doi-asserted-by":"publisher","first-page":"2167","DOI":"10.1090\/S0002-9939-96-03366-7","volume":"124","author":"U. Reif","year":"1996","unstructured":"Reif, U.: A degree estimate for polynomial subdivision surfaces of higher regularity. Proc. Amer. Math. Soc.\u00a0124, 2167\u20132174 (1996)","journal-title":"Proc. Amer. Math. Soc."},{"key":"44_CR13","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1016\/0010-4485(78)90111-2","volume":"10","author":"D. Doo","year":"1978","unstructured":"Doo, D., Sabin, M.A.: Behaviour of recursive subdivision surfaces near extraordinary points. Computer Aided Geometric Design\u00a010, 356\u2013360 (1978)","journal-title":"Computer Aided Geometric Design"},{"key":"44_CR14","doi-asserted-by":"crossref","unstructured":"Meyer, M., Desbrum, M., Schroder, P., Barr, A.H.: Discrete differential geometry operators for triangulated 2-manifolds. In: Visualization and Mathematics III, pp. 35\u201357 (2003)","DOI":"10.1007\/978-3-662-05105-4_2"},{"key":"44_CR15","volume-title":"SIGGRAPH 1998 Conference Proceedings on CDROM","author":"J. Stam","year":"1998","unstructured":"Stam, J.: Evaluation of loop subdivision surfaces. In: SIGGRAPH 1998 Conference Proceedings on CDROM. ACM, New York (1998)"},{"key":"44_CR16","first-page":"395","volume-title":"SIGGRAPH 1998 Conference Proceedings","author":"J. Stam","year":"1998","unstructured":"Stam, J.: Exact evaluation of catmull-clark subdivision surfaces at arbitrary parameter values. In: SIGGRAPH 1998 Conference Proceedings, pp. 395\u2013404. ACM, New York (1998)"}],"container-title":["Lecture Notes in Computer Science","Geometric Modeling and Processing - GMP 2006"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11802914_44.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:25:50Z","timestamp":1619508350000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11802914_44"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540367116","9783540368656"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/11802914_44","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}