{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T07:36:56Z","timestamp":1778657816190,"version":"3.51.4"},"publisher-location":"Berlin, Heidelberg","reference-count":18,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540282259","type":"print"},{"value":"9783540318354","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11537908_19","type":"book-chapter","created":{"date-parts":[[2005,9,30]],"date-time":"2005-09-30T11:42:40Z","timestamp":1128080560000},"page":"318-335","source":"Crossref","is-referenced-by-count":10,"title":["B\u00e9zier Surfaces of Minimal Internal Energy"],"prefix":"10.1007","author":[{"given":"Yongwei","family":"Miao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huahao","family":"Shou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jieqing","family":"Feng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qunsheng","family":"Peng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. Robin","family":"Forrest","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"19_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1007\/3-540-44842-X_38","volume-title":"Computational Science and Its Applications - ICCSA 2003","author":"A. Arnal","year":"2003","unstructured":"Arnal, A., Lluch, A., Monterde, J.: Triangular B\u00e9zier surfaces of minimal area. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L\u2019Ecuyer, P. (eds.) ICCSA 2003. LNCS, vol.\u00a02669, pp. 366\u2013375. Springer, Heidelberg (2003)"},{"issue":"27","key":"19_CR2","first-page":"1","volume":"3","author":"G. Brunnett","year":"1993","unstructured":"Brunnett, G., Hagen, H., Santarelli, P.: Variational design of curves and surfaces. Surv. Math. Industry\u00a03(27), 1\u201327 (1993)","journal-title":"Surv. Math. Industry"},{"key":"19_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1007\/3-540-46080-2_8","volume-title":"Computational Science - ICCS 2002","author":"C. Cos\u00edn","year":"2002","unstructured":"Cos\u00edn, C., Monterde, J.: B\u00e9zier surfaces of minimal area. In: Sloot, P.M.A., Tan, C.J.K., Dongarra, J., Hoekstra, A.G. (eds.) ICCS-ComputSci 2002. LNCS, vol.\u00a02330, pp. 72\u201381. Springer, Heidelberg (2002)"},{"key":"19_CR4","volume-title":"Differential Geometry of Curves and Surfaces","author":"M.P. Carmo do","year":"1976","unstructured":"do Carmo, M.P.: Differential Geometry of Curves and Surfaces. Prentice-Hall International, Englewood Cliffs (1976)"},{"issue":"7","key":"19_CR5","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1016\/S0167-8396(99)00031-X","volume":"16","author":"G. Farin","year":"1999","unstructured":"Farin, G., Hansford, D.: Discrete Coons patches. Computer Aided Geometric Design\u00a016(7), 691\u2013700 (1999)","journal-title":"Computer Aided Geometric Design"},{"issue":"2","key":"19_CR6","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/S0167-8396(01)00013-9","volume":"18","author":"M. Floater","year":"2001","unstructured":"Floater, M., Reimers, M.: Meshless parameterization and surface reconstruction. Computer Aided Geometric Design\u00a018(2), 77\u201392 (2001)","journal-title":"Computer Aided Geometric Design"},{"key":"19_CR7","volume-title":"Curves and Surfaces in Geometric Modeling","author":"J. Gallier","year":"2000","unstructured":"Gallier, J.: Curves and Surfaces in Geometric Modeling. Morgan Kaufmann publishers, San Francisco (2000)"},{"issue":"3","key":"19_CR8","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1111\/1467-8659.1530175","volume":"15","author":"G. Greiner","year":"1996","unstructured":"Greiner, G., Loos, J., Wesselink, W.: Data dependent thin plate energy and its use in interactive surface modeling. Computer Graphics Forum\u00a015(3), 175\u2013186 (1996)","journal-title":"Computer Graphics Forum"},{"key":"19_CR9","first-page":"169","volume-title":"Proceedings of the 5th IMA Conference on the Mathematics of Surfaces","author":"H. Hagen","year":"1994","unstructured":"Hagen, H.: Variational principles in curve and surface design. In: Fisher, R.B. (ed.) Proceedings of the 5th IMA Conference on the Mathematics of Surfaces, Edinburgh, pp. 169\u2013190. Clarendon Press, Oxford (1994)"},{"key":"19_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1007\/978-3-540-39422-8_18","volume-title":"Mathematics of Surfaces","author":"J. Monterde","year":"2003","unstructured":"Monterde, J.: The Plateau-B\u00e9zier problem. In: Wilson, M.J., Martin, R.R. (eds.) Mathematics of Surfaces. LNCS, vol.\u00a02768, pp. 262\u2013273. Springer, Heidelberg (2003)"},{"issue":"2","key":"19_CR11","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.cagd.2003.07.009","volume":"21","author":"J. Monterde","year":"2004","unstructured":"Monterde, J.: B\u00e9zier surfaces of minimal area: The Dirichlet approach. Computer Aided Geometric Design\u00a021(2), 117\u2013136 (2004)","journal-title":"Computer Aided Geometric Design"},{"issue":"2","key":"19_CR12","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1145\/508352.508354","volume":"34","author":"S. Petitjean","year":"2002","unstructured":"Petitjean, S.: A survey of methods for recovering quadrics in triangular meshes. ACM Comput. Surv.\u00a034(2), 211\u2013262 (2002)","journal-title":"ACM Comput. Surv."},{"issue":"4","key":"19_CR13","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1016\/S0167-8396(01)00036-X","volume":"18","author":"R. Schneider","year":"2001","unstructured":"Schneider, R., Kobbelt, L.: Geometric fairing of irregular meshes for free-form surface design. Computer Aided Geometric Design\u00a018(4), 359\u2013379 (2001)","journal-title":"Computer Aided Geometric Design"},{"key":"19_CR14","doi-asserted-by":"crossref","unstructured":"Terzopoulos, D., Platt, J., Barr, A., Fleischer, K.: Elastically deformable models. In: ACM SIGGRAPH 1987, pp. 205\u2013214 (1987)","DOI":"10.1145\/37401.37427"},{"issue":"3","key":"19_CR15","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1111\/j.1467-8659.1995.cgf143_0097.x","volume":"14","author":"R. Veltkamp","year":"1995","unstructured":"Veltkamp, R., Wesselink, W.: Modeling 3d Curves of minimal energy. Computer Graphics Forum\u00a014(3), 97\u2013110 (1995)","journal-title":"Computer Graphics Forum"},{"key":"19_CR16","unstructured":"Veltkamp, R., Wesselink, W.: Variational modeling of triangular B\u00e9zier surfaces. Technical reports of Utrecht University, report no: UU-CS-1996-40 (1996)"},{"key":"19_CR17","doi-asserted-by":"crossref","unstructured":"Welch, W., Witkin, A.: Variational surface modeling. In: ACM SIGGRAPH 1992, pp. 157\u2013166 (1992)","DOI":"10.1145\/133994.134033"},{"key":"19_CR18","doi-asserted-by":"crossref","unstructured":"Welch, W., Witkin, A.: Free-Form shape design using triangulated surfaces. In: ACM SIGGRAPH 1994, pp. 247\u2013256 (1994)","DOI":"10.1145\/192161.192216"}],"container-title":["Lecture Notes in Computer Science","Mathematics of Surfaces XI"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11537908_19.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T06:52:59Z","timestamp":1619506379000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11537908_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540282259","9783540318354"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/11537908_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005]]}}}