{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T21:15:44Z","timestamp":1761513344752},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2013,9,6]],"date-time":"2013-09-06T00:00:00Z","timestamp":1378425600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Vis Comput"],"published-print":{"date-parts":[[2014,5]]},"DOI":"10.1007\/s00371-013-0873-6","type":"journal-article","created":{"date-parts":[[2013,9,5]],"date-time":"2013-09-05T14:20:25Z","timestamp":1378390825000},"page":"479-492","source":"Crossref","is-referenced-by-count":8,"title":["Multilevel mesh simplification"],"prefix":"10.1007","volume":"30","author":[{"given":"S.","family":"Morigi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Rucci","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,9,6]]},"reference":[{"issue":"1","key":"873_CR1","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/S0097-8493(97)00082-4","volume":"22","author":"P. Cignoni","year":"1997","unstructured":"Cignoni, P., Montani, C., Scopigno, R.: A\u00a0comparison of mesh simplification algorithms. Comput. Graph. 22(1), 37\u201354 (1997)","journal-title":"Comput. Graph."},{"key":"873_CR2","volume-title":"Level of Detail for 3D Graphics","author":"D. Luebke","year":"2002","unstructured":"Luebke, D., Watson, B., Cohen, J., Reddy, M., Varshney, A.: Level of Detail for 3D Graphics. Elsevier, Amsterdam (2002)"},{"key":"873_CR3","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1145\/258734.258849","volume-title":"Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201997","author":"M. Garland","year":"1997","unstructured":"Garland, M., Heckbert, P.S.: Surface simplification using quadric error metrics. In: Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201997, New York, NY, USA, pp.\u00a0209\u2013216. ACM Press\/Addison-Wesley, New York (1997)"},{"key":"873_CR4","doi-asserted-by":"crossref","DOI":"10.1201\/b10688","volume-title":"Polygon Mesh Processing","author":"M. Botsch","year":"2010","unstructured":"Botsch, M., Kobbelt, L., Pauly, M., Alliez, P., Levy, B.: Polygon Mesh Processing. AK Peters, Wellesley (2010)"},{"key":"873_CR5","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/978-3-642-78114-8_29","volume-title":"Geometric Modeling in Computer Graphics: Graphics: Methods and Applications","author":"J. Rossignac","year":"1993","unstructured":"Rossignac, J., Borrel, P.: Multi-resolution 3D approximation for rendering complex scenes. In: Falcidieno, B., Kunii, T.L. (eds.) Geometric Modeling in Computer Graphics: Graphics: Methods and Applications, pp.\u00a0455\u2013465. Springer, Berlin (1993)"},{"key":"873_CR6","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1145\/166117.166119","volume-title":"Proceedings of the 20th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201993","author":"H. Hoppe","year":"1993","unstructured":"Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Mesh optimization. In: Proceedings of the 20th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201993, pp.\u00a019\u201326 (1993)"},{"key":"873_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-642-11620-9_1","volume-title":"Proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS\u201908","author":"E. Bae","year":"2010","unstructured":"Bae, E., Weickert, J.: Partial differential equations for interpolation and compression of surfaces. In: Proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS\u201908, Berlin, Heidelberg, pp.\u00a01\u201314. Springer, Berlin (2010)"},{"key":"873_CR8","series-title":"ACM SIGGRAPH Computer Graphics","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1145\/133994.134010","volume-title":"Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques","author":"W. Schroeder","year":"1992","unstructured":"Schroeder, W., Zarge, J., Lorensen, W.: Decimation of triangle meshes. In: Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques. ACM SIGGRAPH Computer Graphics, vol.\u00a026(1), pp.\u00a065\u201370 (1992)"},{"key":"873_CR9","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1145\/237170.237216","volume-title":"Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201996","author":"H. Hoppe","year":"1996","unstructured":"Hoppe, H.: Progressive meshes. In: Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201996, pp.\u00a099\u2013108 (1996)"},{"key":"873_CR10","first-page":"325","volume-title":"Computer Graphics Proceedings (SIGGRAPH 99)","author":"I. Guskov","year":"1999","unstructured":"Guskov, I., Sweldens, W., Schr\u00f6der, P.: Multiresolution signal processing for meshes. In: Computer Graphics Proceedings (SIGGRAPH 99), pp.\u00a0325\u2013334 (1999)"},{"key":"873_CR11","first-page":"59","volume-title":"Proceedings of the 10th IEEE Visualization 1999 Conference (VIS \u201999), VISUALIZATION \u201999","author":"H. Hoppe","year":"1999","unstructured":"Hoppe, H.: New quadric metric for simplifying meshes with appearance attributes. In: Proceedings of the 10th IEEE Visualization 1999 Conference (VIS \u201999), VISUALIZATION \u201999, pp.\u00a059\u201366 (1999)"},{"issue":"5","key":"873_CR12","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1016\/S0097-8493(02)00121-8","volume":"26","author":"S. Kim","year":"2002","unstructured":"Kim, S., Kim, C., Levin, D.: Surface simplification using a discrete curvature norm. Comput. Graph. 26(5), 657\u2013663 (2002)","journal-title":"Comput. Graph."},{"issue":"48\u201349","key":"873_CR13","doi-asserted-by":"crossref","first-page":"4864","DOI":"10.1016\/j.cma.2004.11.016","volume":"194","author":"H. Borouchaki","year":"2005","unstructured":"Borouchaki, H., Frey, P.: Simplification of surface mesh using Hausdorff envelope. Comput. Methods Appl. Mech. Eng. 194(48\u201349), 4864\u20134884 (2005)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"873_CR14","unstructured":"Oberman, A.: Finite difference methods for the infinity Laplace and p-Laplace equations. Preprint, pp.\u00a01\u201314, July 2011"},{"issue":"2","key":"873_CR15","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1137\/050644999","volume":"5","author":"T. Chan","year":"2006","unstructured":"Chan, T., Chen, K.: An optimization-based multilevel algorithm for total variation image denoising. Multiscale Model. Simul. 5(2), 615\u2013645 (2006)","journal-title":"Multiscale Model. Simul."},{"issue":"1\u20134","key":"873_CR16","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L. Rudin","year":"1992","unstructured":"Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60(1\u20134), 259\u2013268 (1992)","journal-title":"Physica D"},{"issue":"6","key":"873_CR17","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1109\/83.503914","volume":"5","author":"Y. Li","year":"1996","unstructured":"Li, Y., Santosa, F.: A\u00a0computational algorithm for minimizing total variation in image restoration. IEEE Trans. Image Process. 5(6), 987\u2013995 (1996)","journal-title":"IEEE Trans. Image Process."},{"key":"873_CR18","author":"M.K. Ng","year":"2007","unstructured":"Ng, M.K., Shen, H., Lam, E.Y., Zhang, L.: A total variation regularization based super-resolution reconstruction algorithm for digital video. EURASIP J. Adv. Signal Process. (2007). doi: 10.1155\/2007\/74585","journal-title":"EURASIP J. Adv. Signal Process."},{"issue":"2","key":"873_CR19","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1007\/s10915-007-9134-z","volume":"32","author":"Y. Huang","year":"2007","unstructured":"Huang, Y., Li, R., Liu, W.: Preconditioned descent algorithms for p-Laplacian. J. Sci. Comput. 32(2), 343\u2013371 (2007)","journal-title":"J. Sci. Comput."},{"issue":"3","key":"873_CR20","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1007\/s002110050423","volume":"82","author":"M. Ainsworth","year":"1999","unstructured":"Ainsworth, M., Kay, D.: The approximation theory for the p-version finite element method and application to non-linear elliptic PDEs. Numer. Math. 82(3), 351\u2013388 (1999)","journal-title":"Numer. Math."},{"issue":"5","key":"873_CR21","first-page":"1780","volume":"40","author":"W. Liu","year":"2002","unstructured":"Liu, W., Yan, N.: On quasi-norm interpolation error estimation and a posteriori error estimates for p-Laplacian. SIAM J. Numer. Anal. 40(5), 1780\u20131895 (2002)","journal-title":"SIAM J. Numer. Anal."},{"key":"873_CR22","first-page":"132","volume-title":"ICML Workshop on Statistical Relational Learning","author":"D. Zhou","year":"2004","unstructured":"Zhou, D., Scholkopf, B.: A\u00a0regularization framework for learning from graph data. In: ICML Workshop on Statistical Relational Learning, pp.\u00a0132\u2013137 (2004). Other Fields"},{"key":"873_CR23","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/11550518_45","volume-title":"Pattern Recognition","author":"D. Zhou","year":"2005","unstructured":"Zhou, D., Sch\u00f6lkopf, B.: Regularization on discrete spaces. In: Pattern Recognition, pp.\u00a0361\u2013368. Springer, Berlin (2005)"},{"key":"873_CR24","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1007\/978-3-540-72823-8_12","volume-title":"International Conference on Scale Space and Variational Methods in Computer Vision (SSVM)","author":"S. Bougleux","year":"2007","unstructured":"Bougleux, S., Elmoataz, A., Melkemi, M.: Discrete regularization on weighted graphs for image and mesh filtering. In: International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), pp.\u00a0128\u2013139 (2007)"},{"issue":"7","key":"873_CR25","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.1109\/TIP.2008.924284","volume":"17","author":"A. Elmoataz","year":"2008","unstructured":"Elmoataz, A., Lezoray, O., Bougleux, S.: Nonlocal discrete regularization on weighted graphs: a framework for image and manifold processing. IEEE Trans. Image Process. 17(7), 1047\u20131060 (2008)","journal-title":"IEEE Trans. Image Process."},{"key":"873_CR26","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1080\/10586458.1993.10504266","volume":"2","author":"U. Pinkall","year":"1993","unstructured":"Pinkall, U., Polthier, K.: Computing discrete minimal surfaces and their conjugates. Exp. Math. 2, 15\u201336 (1993)","journal-title":"Exp. Math."},{"key":"873_CR27","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/978-3-662-05105-4_2","volume-title":"Visualization and Mathematics III","author":"M. Meyer","year":"2003","unstructured":"Meyer, M., Desbrun, M., Schr\u00f6der, P., Barr, A.: Discrete differential-geometry operators for triangulated 2-manifolds. In: Visualization and Mathematics III, pp.\u00a035\u201357. Springer, Berlin (2003)"},{"key":"873_CR28","first-page":"317","volume-title":"SIGGRAPH \u201999 Conference Proceedings","author":"M. Desbrun","year":"1999","unstructured":"Desbrun, M., Meyer, M., Schr\u00f6der, P., Barr, A.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: SIGGRAPH \u201999 Conference Proceedings, pp.\u00a0317\u2013324 (1999)"},{"key":"873_CR29","doi-asserted-by":"crossref","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. Comput. Aided Geom. Des. 18, 359\u2013379 (2001)","journal-title":"Comput. Aided Geom. Des."},{"key":"873_CR30","first-page":"38","volume-title":"Third International Conference on Scale Space and Variational Methods in Computer Vision (SSVM)","author":"S. Morigi","year":"2011","unstructured":"Morigi, S., Rucci, M., Sgallari, F.: Nonlocal surface fairing. In: Third International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), pp.\u00a038\u201349 (2011)"},{"key":"873_CR31","first-page":"129","volume-title":"Sixth Eurographics Italian Chapter","author":"P. Cignoni","year":"2008","unstructured":"Cignoni, P., Callieri, M., Corsini, M., Dellepiane, M., Ganovelli, F., Ranzuglia, G.: MeshLab an open-source mesh processing tool. In: Sixth Eurographics Italian Chapter, pp.\u00a0129\u2013136 (2008)"},{"issue":"2","key":"873_CR32","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1111\/1467-8659.00236","volume":"17","author":"P. Cignoni","year":"1998","unstructured":"Cignoni, P., Rocchini, C., Scopigno, R.: Metro: measuring error on simplified surfaces. Comput. Graph. Forum 17(2), 167\u2013174 (1998)","journal-title":"Comput. Graph. Forum"},{"issue":"2","key":"873_CR33","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s00190-012-0587-y","volume":"87","author":"R. Cunderlik","year":"2013","unstructured":"Cunderlik, R., Mikula, K., Tunega, M.: Nonlinear diffusion filtering of data on the earth\u2019s surface. J. Geod. 87(2), 143\u2013160 (2013)","journal-title":"J. Geod."}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-013-0873-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00371-013-0873-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-013-0873-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,4]],"date-time":"2023-07-04T10:20:11Z","timestamp":1688466011000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00371-013-0873-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,9,6]]},"references-count":33,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,5]]}},"alternative-id":["873"],"URL":"https:\/\/doi.org\/10.1007\/s00371-013-0873-6","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"value":"0178-2789","type":"print"},{"value":"1432-2315","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,9,6]]}}}