{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T12:07:43Z","timestamp":1747397263962},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642331787"},{"type":"electronic","value":"9783642331794"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-33179-4_7","type":"book-chapter","created":{"date-parts":[[2012,8,21]],"date-time":"2012-08-21T19:38:51Z","timestamp":1345577931000},"page":"61-70","source":"Crossref","is-referenced-by-count":3,"title":["Multigrid Narrow Band Surface Reconstruction via Level Set Functions"],"prefix":"10.1007","author":[{"given":"Jian","family":"Ye","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Igor","family":"Yanovsky","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Dong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rima","family":"Gandlin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Achi","family":"Brandt","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stanley","family":"Osher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"7_CR1","unstructured":"Rogers, D.F.: An Introduction to NURBS. Morgan Kaufmann (2003)"},{"key":"7_CR2","volume-title":"The NURBS book","author":"L. Piegl","year":"1996","unstructured":"Piegl, L., Tiller, W.: The NURBS book. Springer, Berlin (1996)"},{"key":"7_CR3","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1006\/gmip.1998.0465","volume":"60","author":"N. Amenta","year":"1998","unstructured":"Amenta, N., Bern, M., Eppstein, D.: The crust and the \u03b2-skeleton: Combinatorial curve reconstruction. Graphical Models and Image Processing\u00a060, 125\u2013135 (1998)","journal-title":"Graphical Models and Image Processing"},{"key":"7_CR4","first-page":"415","volume-title":"Proceedings of the 25th Annual Conference on Computer Graphics and Interactive Techniques","author":"N. Amenta","year":"1998","unstructured":"Amenta, N., Bern, M., Kamvysselis, M.: A new Voronoi-based surface reconstruction algorithm. In: Proceedings of the 25th Annual Conference on Computer Graphics and Interactive Techniques, pp. 415\u2013421. ACM, New York (1998)"},{"key":"7_CR5","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1145\/357346.357349","volume":"3","author":"J.D. Boissonnat","year":"1984","unstructured":"Boissonnat, J.D.: Geometric structures for three dimensional shape reconstruction. ACM Trans. Graphics\u00a03, 266\u2013286 (1984)","journal-title":"ACM Trans. Graphics"},{"key":"7_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/BFb0054315","volume-title":"LATIN\u201998: Theoretical Informatics","author":"H. Edelsbrunner","year":"1998","unstructured":"Edelsbrunner, H.: Shape Reconstruction with Delaunay Complex. In: Lucchesi, C.L., Moura, A.V. (eds.) LATIN 1998. LNCS, vol.\u00a01380, pp. 119\u2013132. Springer, Heidelberg (1998)"},{"key":"7_CR7","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1145\/174462.156635","volume":"13","author":"H. Edelsbrunner","year":"1994","unstructured":"Edelsbrunner, H., Mucke, E.P.: Three dimensional \u03b1 shapes. ACM Trans. Graphics\u00a013, 43\u201372 (1994)","journal-title":"ACM Trans. Graphics"},{"key":"7_CR8","doi-asserted-by":"crossref","unstructured":"Osher, S., Fedkiw, R.P.: Level set methods and dynamic implicit surfaces. Springer (2003)","DOI":"10.1007\/b98879"},{"key":"7_CR9","doi-asserted-by":"publisher","first-page":"2993","DOI":"10.1016\/j.jcp.2009.01.005","volume":"228","author":"S. Leung","year":"2009","unstructured":"Leung, S., Zhao, H.: A grid based particle method for moving interface problems. Journal of Computational Physics\u00a0228, 2993\u20133024 (2009)","journal-title":"Journal of Computational Physics"},{"key":"7_CR10","doi-asserted-by":"crossref","unstructured":"Ruuth, S., Merriman, B.: A simple embedding method for solving partial differential equations on surfaces. Journal of Computational Physics (2007)","DOI":"10.1016\/j.jcp.2007.10.009"},{"key":"7_CR11","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1109\/42.552059","volume":"16","author":"J.C. Carr","year":"1997","unstructured":"Carr, J.C., Fright, W.R., Beatson, R.K.: Surface interpolation with radial basis functions for medical imaging. IEEE Transactions on Medical Imaging\u00a016, 96\u2013107 (1997)","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"7_CR12","unstructured":"Zhao, H.K., Osher, S., Fedkiw, R.: Fast surface reconstruction using the level set method. In: Proceedings of the IEEE Workshop on Variational and Level Set Methods in Computer Vision 2001, pp. 194\u2013201. IEEE (2002)"},{"key":"7_CR13","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1006\/cviu.2000.0875","volume":"80","author":"H.K. Zhao","year":"2000","unstructured":"Zhao, H.K., Osher, S., Merriman, B., Kang, M.: Implicit and non-parametric shape reconstruction from unorganized points using variational level set method. Computer Vision and Image Understanding\u00a080, 295\u2013319 (2000)","journal-title":"Computer Vision and Image Understanding"},{"key":"7_CR14","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1007\/s10915-009-9331-z","volume":"45","author":"T. Goldstein","year":"2010","unstructured":"Goldstein, T., Bresson, X., Osher, S.: Geometric applications of the split bregman method: Segmentation and surface reconstruction. Journal of Scientific Computing\u00a045, 272\u2013293 (2010)","journal-title":"Journal of Scientific Computing"},{"key":"7_CR15","unstructured":"Ye, J., Bresson, X., Goldstein, T., Osher, S.: A Fast Variational Method for Surface Reconstruction from Sets of Scattered Points. CAM Report 10-01 (2010)"},{"key":"7_CR16","unstructured":"Gandlin, R.: Multigrid solvers for inverse problems. Ph.D. thesis, Department of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel (2004)"},{"key":"7_CR17","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1090\/S0025-5718-04-01678-3","volume":"74","author":"H. Zhao","year":"2005","unstructured":"Zhao, H.: A fast sweeping method for eikonal equations. Mathematics of Computation\u00a074, 603\u2013628 (2005)","journal-title":"Mathematics of Computation"},{"key":"7_CR18","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1137\/S0036142901396533","volume":"41","author":"Y. Tsai","year":"2004","unstructured":"Tsai, Y., Cheng, L., Osher, S., Zhao, H.: Fast sweeping algorithms for a class of Hamilton-Jacobi equations. SIAM Journal on Numerical Analysis\u00a041, 673\u2013694 (2004)","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"7_CR19","unstructured":"Brandt, A.: Multigrid techniques. Ges. f\u00fcr Mathematik u. Datenverarbeitung (1984)"}],"container-title":["Lecture Notes in Computer Science","Advances in Visual Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-33179-4_7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:58:08Z","timestamp":1620129488000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-33179-4_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642331787","9783642331794"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-33179-4_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}