{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T20:37:42Z","timestamp":1769632662683,"version":"3.49.0"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2011,7,1]],"date-time":"2011-07-01T00:00:00Z","timestamp":1309478400000},"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":[[2012,2]]},"DOI":"10.1007\/s00371-011-0607-6","type":"journal-article","created":{"date-parts":[[2011,6,30]],"date-time":"2011-06-30T10:11:26Z","timestamp":1309428686000},"page":"163-174","source":"Crossref","is-referenced-by-count":24,"title":["A variational model for normal computation of point clouds"],"prefix":"10.1007","volume":"28","author":[{"given":"Jun","family":"Wang","sequence":"first","affiliation":[]},{"given":"Zhouwang","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Falai","family":"Chen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,7,1]]},"reference":[{"key":"607_CR1","first-page":"21","volume-title":"Proceedings of IEEE Visualization","author":"A. Alexa","year":"2001","unstructured":"Alexa, A., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., Silva, C.: Point set surfaces. In: Proceedings of IEEE Visualization, pp.\u00a021\u201328 (2001)"},{"key":"607_CR2","volume-title":"Proceedings of Symposium on Geometry and Processing 07","author":"P. Alliez","year":"2007","unstructured":"Alliez, P., Cohen-Steiner, D., Tong, Y., Desbrun, M.: Voronoi-based variational reconstruction of unoriented point sets. In: Proceedings of Symposium on Geometry and Processing 07 (2007)"},{"key":"607_CR3","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1145\/276884.276889","volume-title":"SCG \u201998: Proceedings of the Fourteenth Annual Symposium on Computational Geometry","author":"N. Amenta","year":"1998","unstructured":"Amenta, N., Bern, M.: Surface reconstruction by Voronoi filtering. In: SCG \u201998: Proceedings of the Fourteenth Annual Symposium on Computational Geometry, pp. 39\u201348 (1998)"},{"key":"607_CR4","doi-asserted-by":"crossref","first-page":"1373","DOI":"10.1162\/089976603321780317","volume":"15","author":"M. Belkin","year":"2002","unstructured":"Belkin, M., Niyogi, P.: Laplacian eigenmaps for dimensionality reduction and data representation. Neural Comput. 15, 1373\u20131396 (2002)","journal-title":"Neural Comput."},{"key":"607_CR5","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1145\/383259.383266","volume-title":"Proceedings of SIGGRAPH 2001","author":"J. Carr","year":"2001","unstructured":"Carr, J., Beatson, R., Cherrie, J., Mitchell, T., Fright, W., McCallum, B., Evans, T.: Reconstruction and representation of 3D objects with radial basis functions. In: Proceedings of SIGGRAPH 2001, pp. 67\u201376 (2001)"},{"key":"607_CR6","doi-asserted-by":"crossref","unstructured":"Dey, T., Li, G., Sun, J.: Normal estimation for point clouds: A comparison study for a Voronoi based method, pp. 39\u201346 (2005)","DOI":"10.1109\/PBG.2005.194062"},{"key":"607_CR7","series-title":"The Morgan Kaufmann Series in Computer Graphics","volume-title":"Point-Based Graphics","author":"M. Gross","year":"2007","unstructured":"Gross, M., Pfister, H.: Point-Based Graphics, The Morgan Kaufmann Series in Computer Graphics. Morgan Kaufmann, San Mateo (2007)"},{"key":"607_CR8","first-page":"71","volume-title":"Proceedings of SIGGRAPH\u201992","author":"H. Hoppe","year":"1992","unstructured":"Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Surface reconstruction from unorganized points. In: Proceedings of SIGGRAPH\u201992, pp. 71\u201378 (1992)"},{"key":"607_CR9","first-page":"1","volume-title":"SIGGRAPH Asia \u201909: ACM SIGGRAPH Asia 2009 Papers","author":"H. Huang","year":"2009","unstructured":"Huang, H., Li, D., Zhang, H., Ascher, U., Cohen-Or, D.: Consolidation of unorganized point clouds for surface reconstruction. In: SIGGRAPH Asia \u201909: ACM SIGGRAPH Asia 2009 Papers, pp. 1\u20137 (2009)"},{"key":"607_CR10","first-page":"61","volume-title":"SGP\u201906: Proceedings of the Fourth Eurographics Symposium on Geometry Processing","author":"M. Kazhdan","year":"2006","unstructured":"Kazhdan, M., Bolitho, M., Hoppe, H.: Poisson surface reconstruction. In: SGP\u201906: Proceedings of the Fourth Eurographics Symposium on Geometry Processing, pp. 61\u201370 (2006)"},{"key":"607_CR11","first-page":"37","volume-title":"Geometric Modeling for Scientific Visualization","author":"D. Levin","year":"2003","unstructured":"Levin, D.: Mesh-independent surface interpolation. In: Brunnett, G., Hamann, B., Mueller, H. (eds.) Geometric Modeling for Scientific Visualization, pp. 37\u201349. Springer, Berlin (2003)"},{"issue":"2","key":"607_CR12","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.cag.2010.01.004","volume":"34","author":"B. Li","year":"2010","unstructured":"Li, B., Schnabel, R., Klein, R., Cheng, Z., Dang, G., Jin, S.: Robust normal estimation for point clouds with sharp features. Comput. Graph. 34(2), 94\u2013106 (2010)","journal-title":"Comput. Graph."},{"issue":"3","key":"607_CR13","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.cag.2010.03.003","volume":"34","author":"S. Liu","year":"2010","unstructured":"Liu, S., Wang, C.C.L.: Technical section: Orienting unorganized points for surface reconstruction. Comput. Graph. 34(3), 209\u2013218 (2010)","journal-title":"Comput. Graph."},{"key":"607_CR14","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1142\/S0218195904001470","volume":"14","author":"N.J. Mitra","year":"2004","unstructured":"Mitra, N.J., Nguyen, A., Guibas, L.: Estimating surface normals in noisy point cloud data. Int. J. Comput. Geom. Appl. 14, 261\u2013276 (2004)","journal-title":"Int. J. Comput. Geom. Appl."},{"key":"607_CR15","unstructured":"Mount, D.M., Arya, S.: Ann: A library for approximate nearest neighbor searching. http:\/\/www.cs.umd.edu\/~mount\/ann\/ . (2006)"},{"issue":"3","key":"607_CR16","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.gmod.2004.06.003","volume":"67","author":"Y. Ohtake","year":"2005","unstructured":"Ohtake, Y., Belyaev, A., Seidel, H.P.: 3D scattered data interpolation and approximation with multilevel compactly supported RBFs. Graph. Models 67(3), 150\u2013165 (2005)","journal-title":"Graph. Models"},{"issue":"10","key":"607_CR17","doi-asserted-by":"crossref","first-page":"1071","DOI":"10.1016\/j.cad.2004.11.005","volume":"37","author":"D. OuYang","year":"2005","unstructured":"OuYang, D., Feng, H.Y.: On the normal vector estimation for point cloud data from smooth surfaces. Comput. Aided Des. 37(10), 1071\u20131079 (2005)","journal-title":"Comput. Aided Des."},{"issue":"3","key":"607_CR18","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1145\/882262.882319","volume":"22","author":"M. Pauly","year":"2003","unstructured":"Pauly, M., Keiser, R., Kobbelt, L.P., Gross, M.: Shape modeling with point-sampled geometry. ACM Trans. Graph. 22(3), 641\u2013650 (2003)","journal-title":"ACM Trans. Graph."},{"key":"607_CR19","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718058","volume-title":"Matrix Algorithms, Volume II: Eigensystems","author":"G.W. Stewart","year":"2001","unstructured":"Stewart, G.W.: Matrix Algorithms, Volume II: Eigensystems SIAM: Society for Industrial and Applied Mathematics, Philadelphia (2001)"},{"issue":"7","key":"607_CR20","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.1016\/j.imavis.2006.04.024","volume":"25","author":"J. Sun","year":"2007","unstructured":"Sun, J., Smith, M., Smith, L., Farooq, A.: Examining the uncertainty of the recovered surface normal in three light photometric stereo. Image Vis. Comput. 25(7), 1073\u20131079 (2007)","journal-title":"Image Vis. Comput."},{"issue":"12","key":"607_CR21","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1016\/j.cad.2007.08.005","volume":"39","author":"Z. Yang","year":"2007","unstructured":"Yang, Z., Kim, T.W.: Moving parabolic approximation of point clouds. Comput. Aided Des. 39(12), 1091\u20131112 (2007)","journal-title":"Comput. Aided Des."}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-011-0607-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00371-011-0607-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-011-0607-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,12]],"date-time":"2019-06-12T15:08:15Z","timestamp":1560352095000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00371-011-0607-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,1]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,2]]}},"alternative-id":["607"],"URL":"https:\/\/doi.org\/10.1007\/s00371-011-0607-6","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"value":"0178-2789","type":"print"},{"value":"1432-2315","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7,1]]}}}