{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T06:09:07Z","timestamp":1784268547269,"version":"3.55.0"},"publisher-location":"New York, NY, USA","reference-count":43,"publisher":"ACM","license":[{"start":{"date-parts":[[2023,7,23]],"date-time":"2023-07-23T00:00:00Z","timestamp":1690070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2023,7,23]]},"DOI":"10.1145\/3588432.3591502","type":"proceedings-article","created":{"date-parts":[[2023,7,19]],"date-time":"2023-07-19T13:34:52Z","timestamp":1689773692000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":7,"title":["A Fast Geometric Multigrid Method for Curved Surfaces"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7900-7253","authenticated-orcid":false,"given":"Ruben","family":"Wiersma","sequence":"first","affiliation":[{"name":"Delft University of Technology, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5311-4456","authenticated-orcid":false,"given":"Ahmad","family":"Nasikun","sequence":"additional","affiliation":[{"name":"Universitas Gadjah Mada, Indonesia and Delft University of Technology, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4153-065X","authenticated-orcid":false,"given":"Elmar","family":"Eisemann","sequence":"additional","affiliation":[{"name":"Delft University of Technology, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9196-3923","authenticated-orcid":false,"given":"Klaus","family":"Hildebrandt","sequence":"additional","affiliation":[{"name":"Delft University of Technology, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2023,7,23]]},"reference":[{"key":"e_1_3_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827503430138"},{"key":"e_1_3_2_2_2_1","article-title":"Discrete Laplacians on General Polygonal Meshes","volume":"30","author":"Alexa Marc","year":"2011","unstructured":"Marc Alexa and Max Wardetzky . 2011 . Discrete Laplacians on General Polygonal Meshes . ACM Trans. Graph. 30 , 4 (2011), 102:1\u2013102:10. Marc Alexa and Max Wardetzky. 2011. Discrete Laplacians on General Polygonal Meshes. ACM Trans. Graph. 30, 4 (2011), 102:1\u2013102:10.","journal-title":"ACM Trans. Graph."},{"key":"e_1_3_2_2_3_1","doi-asserted-by":"crossref","first-page":"4142","DOI":"10.21105\/joss.04142","article-title":"PyAMG: Algebraic Multigrid Solvers in Python","volume":"7","author":"Bell Nathan","year":"2022","unstructured":"Nathan Bell , Luke\u00a0 N. Olson , and Jacob Schroder . 2022 . PyAMG: Algebraic Multigrid Solvers in Python . Journal of Open Source Software 7 , 72 (2022), 4142 . https:\/\/doi.org\/10.21105\/joss.04142 10.21105\/joss.04142 Nathan Bell, Luke\u00a0N. Olson, and Jacob Schroder. 2022. PyAMG: Algebraic Multigrid Solvers in Python. Journal of Open Source Software 7, 72 (2022), 4142. https:\/\/doi.org\/10.21105\/joss.04142","journal-title":"Journal of Open Source Software"},{"key":"e_1_3_2_2_4_1","volume-title":"Multigrid Methods","author":"Bramble H","unstructured":"James\u00a0 H Bramble . 1993. Multigrid Methods . Chapman and Hall\/CRC. James\u00a0H Bramble. 1993. Multigrid Methods. Chapman and Hall\/CRC."},{"key":"e_1_3_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(86)90095-0"},{"key":"e_1_3_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1391989.1391995"},{"key":"e_1_3_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492916000076"},{"key":"e_1_3_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2015.2511734"},{"key":"e_1_3_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1002\/1097-0037(200010)36:3<156::AID-NET2>3.0.CO;2-L"},{"key":"e_1_3_2_2_10_1","first-page":"103","volume-title":"Eurographics Italian Chapter Conference, Raffaele\u00a0De Amicis and Giuseppe Conti (Eds.). The Eurographics Association. https:\/\/doi.org\/10","author":"Falcidieno Bianca","year":"2007","unstructured":"Bianca Falcidieno . 2007 . Bringing the Semantics into Digital Shapes: the AIM@SHAPE Approach . In Eurographics Italian Chapter Conference, Raffaele\u00a0De Amicis and Giuseppe Conti (Eds.). The Eurographics Association. https:\/\/doi.org\/10 .2312\/LocalChapterEvents\/ItalChap\/ItalianChapConf2007\/ 103 - 106 10.2312\/LocalChapterEvents Bianca Falcidieno. 2007. Bringing the Semantics into Digital Shapes: the AIM@SHAPE Approach. In Eurographics Italian Chapter Conference, Raffaele\u00a0De Amicis and Giuseppe Conti (Eds.). The Eurographics Association. https:\/\/doi.org\/10.2312\/LocalChapterEvents\/ItalChap\/ItalianChapConf2007\/103-106"},{"key":"e_1_3_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cag.2006.02.016"},{"key":"e_1_3_2_2_12_1","volume-title":"ACM Symposium on Solid Modeling and Applications. ACM, 265\u2013272","author":"Green Seth","year":"2002","unstructured":"Seth Green , George Turkiyyah , and Duane\u00a0 W. Storti . 2002 . Subdivision-based multilevel methods for large scale engineering simulation of thin shells . In ACM Symposium on Solid Modeling and Applications. ACM, 265\u2013272 . https:\/\/doi.org\/10.1145\/566282.566321 10.1145\/566282.566321 Seth Green, George Turkiyyah, and Duane\u00a0W. Storti. 2002. Subdivision-based multilevel methods for large scale engineering simulation of thin shells. In ACM Symposium on Solid Modeling and Applications. ACM, 265\u2013272. https:\/\/doi.org\/10.1145\/566282.566321"},{"key":"e_1_3_2_2_13_1","unstructured":"Ga\u00ebl Guennebaud Beno\u00eet Jacob 2010. Eigen v3. http:\/\/eigen.tuxfamily.org.  Ga\u00ebl Guennebaud Beno\u00eet Jacob 2010. Eigen v3. http:\/\/eigen.tuxfamily.org."},{"key":"e_1_3_2_2_14_1","series-title":"Springer series in computational mathematics","volume-title":"Multi-grid methods and applications","author":"Hackbusch Wolfgang","unstructured":"Wolfgang Hackbusch . 1985. Multi-grid methods and applications . Springer series in computational mathematics , Vol.\u00a04. Springer . Wolfgang Hackbusch. 1985. Multi-grid methods and applications. Springer series in computational mathematics, Vol.\u00a04. Springer."},{"key":"e_1_3_2_2_15_1","first-page":"230","article-title":"Factor once: reusing cholesky factorizations on sub-meshes","volume":"37","author":"Herholz Philipp","year":"2018","unstructured":"Philipp Herholz and Marc Alexa . 2018 . Factor once: reusing cholesky factorizations on sub-meshes . ACM Trans. Graph. 37 , 6 (2018), 230 . https:\/\/doi.org\/10.1145\/3272127.3275107 10.1145\/3272127.3275107 Philipp Herholz and Marc Alexa. 2018. Factor once: reusing cholesky factorizations on sub-meshes. ACM Trans. Graph. 37, 6 (2018), 230. https:\/\/doi.org\/10.1145\/3272127.3275107","journal-title":"ACM Trans. Graph."},{"key":"e_1_3_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/3414685.3417828"},{"key":"e_1_3_2_2_17_1","volume-title":"Progressive Meshes. In Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1996","author":"Hoppe Hugues","year":"1996","unstructured":"Hugues Hoppe . 1996 . Progressive Meshes. In Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1996 , New Orleans, LA, USA , August 4-9, 1996, John Fujii (Ed.). ACM, 99\u2013108. https:\/\/dl.acm.org\/citation.cfm?id=237216 Hugues Hoppe. 1996. Progressive Meshes. In Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1996, New Orleans, LA, USA, August 4-9, 1996, John Fujii (Ed.). ACM, 99\u2013108. https:\/\/dl.acm.org\/citation.cfm?id=237216"},{"key":"e_1_3_2_2_18_1","volume-title":"Accessed","author":"Intel Corporation","year":"2023","unstructured":"Intel Corporation . 2023 . oneMKL PARDISO - Parallel Direct Sparse Solver Interface. https:\/\/www.intel.com\/content\/www\/us\/en\/docs\/onemkl\/developer-reference-c\/2023-1\/onemkl-pardiso-parallel-direct-sparse-solver-iface.html . Accessed : April 17, 2023. Intel Corporation. 2023. oneMKL PARDISO - Parallel Direct Sparse Solver Interface. https:\/\/www.intel.com\/content\/www\/us\/en\/docs\/onemkl\/developer-reference-c\/2023-1\/onemkl-pardiso-parallel-direct-sparse-solver-iface.html. Accessed: April 17, 2023."},{"key":"e_1_3_2_2_19_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12209"},{"key":"e_1_3_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.13449"},{"key":"e_1_3_2_2_21_1","volume-title":"Computer Graphics Forum, Vol.\u00a031","author":"Kazhdan Michael","unstructured":"Michael Kazhdan , Jake Solomon , and Mirela Ben-Chen . 2012. Can mean-curvature flow be modified to be non-singular? . In Computer Graphics Forum, Vol.\u00a031 . Wiley Online Library , 1745\u20131754. Michael Kazhdan, Jake Solomon, and Mirela Ben-Chen. 2012. Can mean-curvature flow be modified to be non-singular?. In Computer Graphics Forum, Vol.\u00a031. Wiley Online Library, 1745\u20131754."},{"key":"e_1_3_2_2_22_1","volume-title":"Symposium on Geometry Processing(ACM International Conference Proceeding Series, Vol.\u00a0256)","author":"Kazhdan M.","year":"2006","unstructured":"Michael\u00a0 M. Kazhdan , Matthew Bolitho , and Hugues Hoppe . 2006 . Poisson surface reconstruction . In Symposium on Geometry Processing(ACM International Conference Proceeding Series, Vol.\u00a0256) . Eurographics Association, 61\u201370. Michael\u00a0M. Kazhdan, Matthew Bolitho, and Hugues Hoppe. 2006. Poisson surface reconstruction. In Symposium on Geometry Processing(ACM International Conference Proceeding Series, Vol.\u00a0256). Eurographics Association, 61\u201370."},{"key":"e_1_3_2_2_23_1","doi-asserted-by":"publisher","DOI":"10.1145\/3072959.3073599"},{"key":"e_1_3_2_2_24_1","volume-title":"Proceedings of the Graphics Interface 1998 Conference","author":"Kobbelt Leif","year":"1998","unstructured":"Leif Kobbelt , Swen Campagna , and Hans-Peter Seidel . 1998 . A General Framework for Mesh Decimation . In Proceedings of the Graphics Interface 1998 Conference , June 18-20, 1998, Vancouver, BC, Canada, Wayne\u00a0A. Davis, Kellogg\u00a0S. Booth, and Alain Fournier (Eds.). Canadian Human-Computer Communications Society, 43\u201350. Leif Kobbelt, Swen Campagna, and Hans-Peter Seidel. 1998. A General Framework for Mesh Decimation. In Proceedings of the Graphics Interface 1998 Conference, June 18-20, 1998, Vancouver, BC, Canada, Wayne\u00a0A. Davis, Kellogg\u00a0S. Booth, and Alain Fournier (Eds.). Canadian Human-Computer Communications Society, 43\u201350."},{"key":"e_1_3_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2461992"},{"key":"e_1_3_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/2070781.2024211"},{"key":"e_1_3_2_2_27_1","doi-asserted-by":"publisher","DOI":"10.1137\/120869730"},{"key":"e_1_3_2_2_28_1","doi-asserted-by":"publisher","DOI":"10.1145\/3450626.3459768"},{"key":"e_1_3_2_2_29_1","volume-title":"Symposium on Computer Animation. Eurographics Association, 65\u201373","author":"McAdams Aleka","year":"2010","unstructured":"Aleka McAdams , Eftychios Sifakis , and Joseph Teran . 2010 . A Parallel Multigrid Poisson Solver for Fluids Simulation on Large Grids . In Symposium on Computer Animation. Eurographics Association, 65\u201373 . Aleka McAdams, Eftychios Sifakis, and Joseph Teran. 2010. A Parallel Multigrid Poisson Solver for Fluids Simulation on Large Grids. In Symposium on Computer Animation. Eurographics Association, 65\u201373."},{"key":"e_1_3_2_2_30_1","article-title":"The Hierarchical Subspace Iteration Method for Laplace\u2013Beltrami Eigenproblems","volume":"41","author":"Nasikun Ahmad","year":"2022","unstructured":"Ahmad Nasikun and Klaus Hildebrandt . 2022 . The Hierarchical Subspace Iteration Method for Laplace\u2013Beltrami Eigenproblems . ACM Trans. Graph. 41 , 2 (2022), 17:1\u201317:14. https:\/\/doi.org\/10.1145\/3495208 10.1145\/3495208 Ahmad Nasikun and Klaus Hildebrandt. 2022. The Hierarchical Subspace Iteration Method for Laplace\u2013Beltrami Eigenproblems. ACM Trans. Graph. 41, 2 (2022), 17:1\u201317:14. https:\/\/doi.org\/10.1145\/3495208","journal-title":"ACM Trans. Graph."},{"key":"e_1_3_2_2_31_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015769"},{"key":"e_1_3_2_2_32_1","first-page":"181","volume-title":"Proceedings of the 2007 ACM SIGGRAPH\/Eurographics Symposium on Computer Animation, SCA 2007","author":"Otaduy A.","year":"2007","unstructured":"Miguel\u00a0 A. Otaduy , Daniel Germann , Stephane Redon , and Markus\u00a0 H. Gross . 2007 . Adaptive deformations with fast tight bounds . In Proceedings of the 2007 ACM SIGGRAPH\/Eurographics Symposium on Computer Animation, SCA 2007 , San Diego, California, USA , August 2-4, 2007, Michael Gleicher and Daniel Thalmann (Eds.). Eurographics Association, 181\u2013190. https:\/\/doi.org\/10.2312\/SCA\/SCA07\/ 181 - 190 10.2312\/SCA Miguel\u00a0A. Otaduy, Daniel Germann, Stephane Redon, and Markus\u00a0H. Gross. 2007. Adaptive deformations with fast tight bounds. In Proceedings of the 2007 ACM SIGGRAPH\/Eurographics Symposium on Computer Animation, SCA 2007, San Diego, California, USA, August 2-4, 2007, Michael Gleicher and Daniel Thalmann (Eds.). Eurographics Association, 181\u2013190. https:\/\/doi.org\/10.2312\/SCA\/SCA07\/181-190"},{"key":"e_1_3_2_2_33_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882269"},{"key":"e_1_3_2_2_34_1","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.1993.10504266"},{"key":"e_1_3_2_2_35_1","volume-title":"Hierarchical Least Squares Conformal Map. In Pacific Conference on Graphics and Applications. IEEE, 263\u2013270","author":"Ray Nicolas","year":"2003","unstructured":"Nicolas Ray and Bruno L\u00e9vy . 2003 . Hierarchical Least Squares Conformal Map. In Pacific Conference on Graphics and Applications. IEEE, 263\u2013270 . https:\/\/doi.org\/10.1109\/PCCGA.2003.1238268 10.1109\/PCCGA.2003.1238268 Nicolas Ray and Bruno L\u00e9vy. 2003. Hierarchical Least Squares Conformal Map. In Pacific Conference on Graphics and Applications. IEEE, 263\u2013270. https:\/\/doi.org\/10.1109\/PCCGA.2003.1238268"},{"key":"e_1_3_2_2_36_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.14069"},{"key":"e_1_3_2_2_37_1","doi-asserted-by":"publisher","DOI":"10.1145\/1141911.1142001"},{"key":"e_1_3_2_2_38_1","first-page":"173","article-title":"Out-of-core multigrid solver for streaming meshes","volume":"28","author":"Shi Xiaohan","year":"2009","unstructured":"Xiaohan Shi , Hujun Bao , and Kun Zhou . 2009 . Out-of-core multigrid solver for streaming meshes . ACM Trans. Graph. 28 , 5 (2009), 173 . https:\/\/doi.org\/10.1145\/1618452.1618519 10.1145\/1618452.1618519 Xiaohan Shi, Hujun Bao, and Kun Zhou. 2009. Out-of-core multigrid solver for streaming meshes. ACM Trans. Graph. 28, 5 (2009), 173. https:\/\/doi.org\/10.1145\/1618452.1618519","journal-title":"ACM Trans. Graph."},{"key":"e_1_3_2_2_39_1","volume-title":"Computer Graphics Forum, Vol.\u00a031","author":"Skouras M\u00e9lina","unstructured":"M\u00e9lina Skouras , Bernhard Thomaszewski , Bernd Bickel , and Markus Gross . 2012. Computational design of rubber balloons . In Computer Graphics Forum, Vol.\u00a031 . Wiley Online Library , 835\u2013844. M\u00e9lina Skouras, Bernhard Thomaszewski, Bernd Bickel, and Markus Gross. 2012. Computational design of rubber balloons. In Computer Graphics Forum, Vol.\u00a031. Wiley Online Library, 835\u2013844."},{"key":"e_1_3_2_2_40_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00516-1"},{"key":"e_1_3_2_2_41_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cag.2021.10.003"},{"key":"e_1_3_2_2_42_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.13554"},{"key":"e_1_3_2_2_43_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2007.07.006"}],"event":{"name":"SIGGRAPH '23: Special Interest Group on Computer Graphics and Interactive Techniques Conference","location":"Los Angeles CA USA","acronym":"SIGGRAPH '23","sponsor":["SIGCHI ACM Special Interest Group on Computer-Human Interaction"]},"container-title":["Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Proceedings"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3588432.3591502","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T17:51:29Z","timestamp":1750182689000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3588432.3591502"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,23]]},"references-count":43,"alternative-id":["10.1145\/3588432.3591502","10.1145\/3588432"],"URL":"https:\/\/doi.org\/10.1145\/3588432.3591502","relation":{},"subject":[],"published":{"date-parts":[[2023,7,23]]},"assertion":[{"value":"2023-07-23","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}