{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T16:20:12Z","timestamp":1725639612940},"publisher-location":"Berlin, Heidelberg","reference-count":41,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642247330"},{"type":"electronic","value":"9783642247347"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-24734-7_2","type":"book-chapter","created":{"date-parts":[[2011,12,5]],"date-time":"2011-12-05T16:01:23Z","timestamp":1323100883000},"page":"21-39","source":"Crossref","is-referenced-by-count":1,"title":["Quality Surface Meshing Using Discrete Parametrizations"],"prefix":"10.1007","author":[{"given":"Emilie","family":"Marchandise","sequence":"first","affiliation":[]},{"given":"Jean-Fran\u00e7ois","family":"Remacle","sequence":"additional","affiliation":[]},{"given":"Christophe","family":"Geuzaine","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"2_CR1","doi-asserted-by":"crossref","unstructured":"Alliez, P., Meyer, M., Desbrun, M.: Interactive geometry remeshing. In: Computer graphics (Proceedings of the SIGGRAPH 2002), pp. 347\u2013354 (2002)","DOI":"10.1145\/566570.566588"},{"key":"2_CR2","doi-asserted-by":"crossref","unstructured":"Batdorf, M., Freitag, L.A., Ollivier-Gooch, C.: A computational study of the effect of unstructured mesh quality on solution efficiency. In: Proc. 13th AIAA Computational Fluid Dynamics Conf. (1997)","DOI":"10.2514\/6.1997-1888"},{"issue":"1","key":"2_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0010-4485(00)00146-9","volume":"34","author":"E. Bechet","year":"2002","unstructured":"Bechet, E., Cuilliere, J.-C., Trochu, F.: Generation of a finite element mesh from stereolithography (stl) files. Computer-Aided Design\u00a034(1), 1\u201317 (2002)","journal-title":"Computer-Aided Design"},{"key":"2_CR4","doi-asserted-by":"crossref","unstructured":"Ben-Chen, M., Gotsman, C., Bunin, G.: Conformal flattening by curvature prescription and metric scaling. Computer Graphics Forum\u00a027(2) (2008)","DOI":"10.1111\/j.1467-8659.2008.01142.x"},{"key":"2_CR5","doi-asserted-by":"crossref","unstructured":"Bennis, C., V\u00e9zien, J.-M., Igl\u00e9sias, G.: Piecewise surface flattening for non-distorted texture mapping. In: ACM SIGGRAPH Computer Graphics, pp. 237\u2013246 (1991)","DOI":"10.1145\/127719.122744"},{"key":"2_CR6","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1002\/1097-0207(20000910\/20)49:1\/2<233::AID-NME931>3.0.CO;2-G","volume":"49","author":"H. Borouchaki","year":"2000","unstructured":"Borouchaki, H., Laug, P., George, P.L.: Parametric surface meshing using a combined advancing-front generalized delaunay approach. International Journal for Numerical Methods in Engineering\u00a049, 223\u2013259 (2000)","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"2_CR7","unstructured":"Choquet, C.: Sur un type de repr\u00e9sentation analytique g\u00e9n\u00e9ralisant la repr\u00e9sentation conforme et d\u00e9fininie au moyen de fonctions harmoniques. Bull. Sci. Math.\u00a069(156-165) (1945)"},{"key":"2_CR8","doi-asserted-by":"crossref","unstructured":"Eck, M., DeRose, T., Duchamp, T., Hoppe, H., Lounsbery, M., Stuetzle, W.: Multiresolution analysis of arbitrary meshes. In: SIGGRAPH 1995: Proceedings of the 22nd Annual Conference on Computer Graphics and Interactive Techniques, pp. 173\u2013182 (1995)","DOI":"10.1145\/218380.218440"},{"key":"2_CR9","doi-asserted-by":"crossref","unstructured":"Floater, M.S.: Parametrization and smooth approximation of surface triangulations. Computer Aided Geometric Design\u00a014(231-250) (1997)","DOI":"10.1016\/S0167-8396(96)00031-3"},{"key":"2_CR10","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1142\/S021865439800012X","volume":"4","author":"M.S. Floater","year":"1998","unstructured":"Floater, M.S.: Parametric tilings and scattered data approximation. International Journal of Shape Modeling\u00a04, 165\u2013182 (1998)","journal-title":"International Journal of Shape Modeling"},{"key":"2_CR11","doi-asserted-by":"crossref","unstructured":"Floater, M.S.: One-to-one piecewise linear mappings over trinagulations. Math. Comp.\u00a072(685-696) (2003)","DOI":"10.1090\/S0025-5718-02-01466-7"},{"key":"2_CR12","doi-asserted-by":"crossref","unstructured":"Floater, M.S., Hormann, K.: Surface parameterization: a tutorial and survey. In: Advances in Multiresolution for Geometric Modelling (2005)","DOI":"10.1007\/3-540-26808-1_9"},{"key":"2_CR13","unstructured":"George, P.-L., Frey, P.: Mesh Generation. Hermes (2000)"},{"issue":"11","key":"2_CR14","doi-asserted-by":"publisher","first-page":"1309","DOI":"10.1002\/nme.2579","volume":"79","author":"C. Geuzaine","year":"2009","unstructured":"Geuzaine, C., Remacle, J.-F.: Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. International Journal for Numerical Methods in Engineering\u00a079(11), 1309\u20131331 (2009)","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"2_CR15","unstructured":"Greiner, G., Hormann, K.: Interpolating and approximating scattered 3d data with hierarchical tensor product splines. In: Surface Fitting and Multiresolution Methods, pp. 163\u2013172 (1996)"},{"issue":"3","key":"2_CR16","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1145\/1089014.1089019","volume":"31","author":"V. Hernandez","year":"2005","unstructured":"Hernandez, V., Roman, J.E., Vidal, V.: Slepc: A scalable and flexible toolkit for the solution of eigenvalue problems. ACM Trans. Math. Soft.\u00a031(3), 351\u2013362 (2005)","journal-title":"ACM Trans. Math. Soft."},{"key":"2_CR17","unstructured":"Hormann, K., Greiner, G.: Mips: An efficient global. parametrization method. In: Curve and Surface Design, Vanderbilt University Press (2000)"},{"issue":"3","key":"2_CR18","doi-asserted-by":"publisher","first-page":"490","DOI":"10.2514\/2.1672","volume":"40","author":"Y. Ito","year":"2002","unstructured":"Ito, Y., Nakahashi, K.: Direct surface triangulation using stereolithography data. AIAA Journal\u00a040(3), 490\u2013496 (2002)","journal-title":"AIAA Journal"},{"key":"2_CR19","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1002\/nme.770","volume":"58","author":"P. Laug","year":"2003","unstructured":"Laug, P., Boruchaki, H.: Interpolating and meshing 3d surface grids. International Journal for Numerical Methods in Engineering\u00a058, 209\u2013225 (2003)","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"2_CR20","doi-asserted-by":"crossref","unstructured":"Lehoucq, R.B., Sorensen, D.C., Yang, C.: ARPACK Users Guide: Solution of Large Scale Eigenvalue Problems by Implicitly Restarted Arnoldi Methods. Society for Industrial and Applied Mathematics (1997)","DOI":"10.1137\/1.9780898719628"},{"key":"2_CR21","doi-asserted-by":"crossref","unstructured":"L\u00e9vy, B., Petitjean, S., Ray, N., Maillot, J.: Least squares conformal maps for automatic texture atlas generation. In: Computer Graphics (Proceedings of SIGGRAPH 2002), pp. 362\u2013371 (2002)","DOI":"10.1145\/566570.566590"},{"key":"2_CR22","doi-asserted-by":"crossref","unstructured":"Spagnuolo, M., Attene, M., Falcidieno, B., Wyvill, G.: A mapping-independent primitive for the triangulation of parametric surfaces. Graphical Models\u00a065(260-273) (2003)","DOI":"10.1016\/S1524-0703(03)00048-1"},{"key":"2_CR23","doi-asserted-by":"crossref","unstructured":"Maillot, J., Yahia, H., Verroust, A.: Interactive texture mapping. In: Proceedings of ACM SIGGRAPH 1993, pp. 27\u201334 (1993)","DOI":"10.1145\/166117.166120"},{"issue":"11","key":"2_CR24","doi-asserted-by":"publisher","first-page":"1303","DOI":"10.1002\/nme.3099","volume":"86","author":"E. Marchandise","year":"2011","unstructured":"Marchandise, E., Carton de Wiart, C., Vos, W.G., Geuzaine, C., Remacle, J.-F.: High quality surface remeshing using harmonic maps. Part II: Surfaces with high genus and of large aspect ratio. International Journal for Numerical Methods in Engineering\u00a086(11), 1303\u20131321 (2011)","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"2_CR25","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1002\/cnm.1388","volume":"83","author":"E. Marchandise","year":"2010","unstructured":"Marchandise, E., Comp\u00e8re, G., Willemet, M., Bricteux, G., Geuzaine, C., Remacle, J.-F.: Quality meshing based on stl triangulations for biomedical simulations. International Journal for Numerical Methods in Biomedical Engineering\u00a083, 876\u2013889 (2010)","journal-title":"International Journal for Numerical Methods in Biomedical Engineering"},{"key":"2_CR26","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/PL00013386","volume":"17","author":"D.L. Marcum","year":"2001","unstructured":"Marcum, D.L.: Efficient generation of high-quality unstructured surface and volume grids. Engrg. Comput.\u00a017, 211\u2013233 (2001)","journal-title":"Engrg. Comput."},{"key":"2_CR27","unstructured":"Marcum, D.L., Gaither, A.: Unstructured surface grid generation using global mapping and physical space approximation. In: Proceedings, 8th International Meshing Roundtable, pp. 397\u2013406 (1999)"},{"key":"2_CR28","doi-asserted-by":"crossref","unstructured":"Mullen, P., Tong, Y., Alliez, P., Desbrun, M.: Spectral conformal parameterization. In: In ACM\/EG Symposium of Geometry Processing (2008)","DOI":"10.1111\/j.1467-8659.2008.01289.x"},{"key":"2_CR29","unstructured":"Rado, T.: Aufgabe 41. Math-Verien, p. 49 (1926)"},{"key":"2_CR30","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1006\/jcph.1993.1097","volume":"106","author":"S. Rebay","year":"1993","unstructured":"Rebay, S.: Efficient unstructured mesh generation by means of delaunay triangulation and bowyer-watson algorithm. Journal of Computational Physics\u00a0106, 25\u2013138 (1993)","journal-title":"Journal of Computational Physics"},{"key":"2_CR31","doi-asserted-by":"crossref","unstructured":"Remacle, J.-F., Henrotte, F., Carrier-Baudouin, T., Bechet, E., Marchandise, E., Geuzaine, C., Mouton, T.: A frontal delaunay quad mesh generator using the l \u2009\u221e\u2009 norm. International Journal for Numerical Methods in Engineering (2011)","DOI":"10.1007\/978-3-642-24734-7_25"},{"key":"2_CR32","doi-asserted-by":"crossref","unstructured":"Remacle, J.-F., Lambrechts, J., Seny, B., Marchandise, E., Johnen, A., Geuzaine, C.: Blossom-quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm. International Journal for Numerical Methods in Engineering (submitted 2011)","DOI":"10.1002\/nme.3279"},{"issue":"2","key":"2_CR33","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1561\/0600000011","volume":"2","author":"A. Sheffer","year":"2006","unstructured":"Sheffer, A., Praun, E., Rose, K.: Mesh parameterization methods and their applications. Found. Trends. Comput. Graph. Vis.\u00a02(2), 105\u2013171 (2006)","journal-title":"Found. Trends. Comput. Graph. Vis."},{"key":"2_CR34","doi-asserted-by":"crossref","unstructured":"Sheffer, A., L\u00e9vy, B., Lorraine, I., Mogilnitsky, M., Bogomyakov, E.: Abf++: fast and robust angle based flattening. ACM Transactions on Graphics\u00a024(311-330) (2005)","DOI":"10.1145\/1061347.1061354"},{"key":"2_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"906","DOI":"10.1007\/978-3-540-72584-8_119","volume-title":"Computational Science \u2013 ICCS 2007","author":"D. Szczerba","year":"2007","unstructured":"Szczerba, D., McGregor, R.H.P., Sz\u00e9kely, G.: High quality surface mesh generation for multi-physics bio-medical simulations. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2007. LNCS, vol.\u00a04487, pp. 906\u2013913. Springer, Heidelberg (2007)"},{"key":"2_CR36","unstructured":"Tristano, J.R., Owen, S.J., Canann, S.A.: Advancing front surface mesh generation in parametric space using riemannian surface definition. In: Proceedings of 7th International Meshing Roundtable, Sandia National Laboratory, pp. 429\u2013455 (1998)"},{"key":"2_CR37","doi-asserted-by":"crossref","unstructured":"Tutte, W.T.: How to draw a graph. In: Proceedings of the London Mathematical Society, vol.\u00a013, pp. 743\u2013768 (1963)","DOI":"10.1112\/plms\/s3-13.1.743"},{"key":"2_CR38","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1002\/cnm.894","volume":"23","author":"D. Wang","year":"2007","unstructured":"Wang, D., Hassan, O., Morgan, K., Weatheril, N.: Enhanced remeshing from stl files with applications to surface grid generation. Commun. Numer. Meth. Engng\u00a023, 227\u2013239 (2007)","journal-title":"Commun. Numer. Meth. Engng"},{"key":"2_CR39","unstructured":"Zayer, R., L\u00e9vy, B., Seidel, H.-P.: Linear angle based parameterization. In: ACM\/EG Symposium on Geometry Processing Conference Proceedings (2007)"},{"key":"2_CR40","doi-asserted-by":"crossref","unstructured":"Zheng, Y., Weatherill, N.P., Hassan, O.: Topology abstraction of surface models for three-dimensional grid generation. Engrg. Comput.\u00a017(28-38) (2001)","DOI":"10.1007\/s003660170021"},{"key":"2_CR41","doi-asserted-by":"crossref","unstructured":"Zigelman, G., Kimmel, R., Kiryati, N.: Texture mapping using surface flattening via multi-dimensional scaling. IEEE Trans. on Visualisation and Computer Graphics\u00a08(198-207) (2002)","DOI":"10.1109\/2945.998671"}],"container-title":["Proceedings of the 20th International Meshing Roundtable"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-24734-7_2.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T09:18:27Z","timestamp":1713172707000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-24734-7_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642247330","9783642247347"],"references-count":41,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-24734-7_2","relation":{},"subject":[],"published":{"date-parts":[[2011]]}}}