{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T05:05:36Z","timestamp":1750309536125,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":40,"publisher":"ACM","license":[{"start":{"date-parts":[[2024,12,3]],"date-time":"2024-12-03T00:00:00Z","timestamp":1733184000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,12,3]]},"DOI":"10.1145\/3680528.3687693","type":"proceedings-article","created":{"date-parts":[[2024,12,3]],"date-time":"2024-12-03T08:14:37Z","timestamp":1733213677000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Polar Interpolants for Thin-Shell Microstructure Homogenization"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4632-9579","authenticated-orcid":false,"given":"Antoine","family":"Chan-Lock","sequence":"first","affiliation":[{"name":"Universidad Rey Juan Carlos, Madrid, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3880-7622","authenticated-orcid":false,"given":"Miguel A.","family":"Otaduy","sequence":"additional","affiliation":[{"name":"Universidad Rey Juan Carlos, Madrid, Spain and Facebook Reality Labs, Madrid, Spain"}]}],"member":"320","published-online":{"date-parts":[[2024,12,3]]},"reference":[{"key":"e_1_3_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.5555\/846276.846282"},{"key":"e_1_3_3_2_3_1","doi-asserted-by":"crossref","unstructured":"Bernd Bickel Moritz B\u00e4cher Miguel\u00a0A. Otaduy Hyunho\u00a0Richard Lee Hanspeter Pfister Markus Gross and Wojciech Matusik. 2010. Design and Fabrication of Materials with Desired Deformation Behavior. ACM Trans. Graph. 29 4 Article 63 (2010) 10\u00a0pages.","DOI":"10.1145\/1778765.1778800"},{"key":"e_1_3_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576246.1531395"},{"key":"e_1_3_3_2_5_1","doi-asserted-by":"publisher","unstructured":"J. Blinn. 1996. Consider the lowly 2 x 2 matrix. IEEE Computer Graphics and Applications 16 2 (1996) 82\u201388. 10.1109\/38.486688 https:\/\/dl.acm.org\/doi\/10.1109\/38.486688","DOI":"10.1109\/38.486688"},{"key":"e_1_3_3_2_6_1","doi-asserted-by":"crossref","unstructured":"Antoine Chan-Lock Jes\u00fas P\u00e9rez and Miguel\u00a0A. Otaduy. 2022. High-Order Elasticity Interpolants for Microstructure Simulation. Computer Graphics Forum 41 8 (2022) 63\u201374.","DOI":"10.1111\/cgf.14624"},{"key":"e_1_3_3_2_7_1","doi-asserted-by":"crossref","unstructured":"G. Colasante and P.D. Gosling. 2016. Including Shear in a Neural Network Constitutive Model for Architectural Textiles. Procedia Engineering 155 (2016) 103\u2013112.","DOI":"10.1016\/j.proeng.2016.08.011"},{"key":"e_1_3_3_2_8_1","doi-asserted-by":"crossref","unstructured":"Xudong Feng Wenchao Huang Weiwei Xu and Huamin Wang. 2022. Learning-Based Bending Stiffness Parameter Estimation by a Drape Tester. ACM Trans. Graph. 41 6 Article 221 (2022) 16\u00a0pages.","DOI":"10.1145\/3550454.3555464"},{"key":"e_1_3_3_2_9_1","doi-asserted-by":"crossref","unstructured":"Edward Fuselier. 2008. Sobolev-type approximation rates for divergence-free and curl-free RBF interpolants. Math. Comput. 77 (2008) 1407\u20131423.","DOI":"10.1090\/S0025-5718-07-02096-0"},{"key":"e_1_3_3_2_10_1","doi-asserted-by":"crossref","unstructured":"Theodore\u00a0F. Gast Craig Schroeder Alexey Stomakhin Chenfanfu Jiang and Joseph\u00a0M. Teran. 2015. Optimization Integrator for Large Time Steps. IEEE Transactions on Visualization and Computer Graphics 21 10 (2015) 1103\u20131115.","DOI":"10.1109\/TVCG.2015.2459687"},{"key":"e_1_3_3_2_11_1","doi-asserted-by":"crossref","unstructured":"J. Ghaboussi J.\u00a0H. Garrett and X. Wu. 1991. Knowledge\u2010Based Modeling of Material Behavior with Neural Networks. Journal of Engineering Mechanics 117 1 (1991) 132\u2013153.","DOI":"10.1061\/(ASCE)0733-9399(1991)117:1(132)"},{"key":"e_1_3_3_2_12_1","doi-asserted-by":"publisher","unstructured":"Eitan Grinspun Yotam Gingold Jason Reisman and Denis Zorin. 2006. Computing discrete shape operators on general meshes. Computer Graphics Forum (Eurographics) 25 3 (2006) 547\u2013556. 10.1111\/j.1467-8659.2006.00974.x","DOI":"10.1111\/j.1467-8659.2006.00974.x"},{"key":"e_1_3_3_2_13_1","doi-asserted-by":"crossref","unstructured":"Theodore Kim. 2020. A Finite Element Formulation of Baraff-Witkin Cloth. Computer Graphics Forum 39 8 (2020) 171\u2013179.","DOI":"10.1111\/cgf.14111"},{"key":"e_1_3_3_2_14_1","doi-asserted-by":"crossref","unstructured":"Mina Konakovi\u0107-Lukovi\u0107 Julian Panetta Keenan Crane and Mark Pauly. 2018. Rapid Deployment of Curved Surfaces via Programmable Auxetics. ACM Trans. Graph. 37 4 Article 106 (2018) 13\u00a0pages.","DOI":"10.1145\/3197517.3201373"},{"key":"e_1_3_3_2_15_1","doi-asserted-by":"crossref","unstructured":"B.\u00a0A. Le J. Yvonnet and Q.-C. He. 2015. Computational homogenization of nonlinear elastic materials using neural networks. Internat. J. Numer. Methods Engrg. 104 12 (2015) 1061\u20131084.","DOI":"10.1002\/nme.4953"},{"key":"e_1_3_3_2_16_1","doi-asserted-by":"crossref","unstructured":"Minchen Li Zachary Ferguson Teseo Schneider Timothy Langlois Denis Zorin Daniele Panozzo Chenfanfu Jiang and Danny\u00a0M. Kaufman. 2020. Incremental potential contact: intersection-and inversion-free large-deformation dynamics. ACM Trans. Graph. 39 4 Article 49 (2020) 20\u00a0pages.","DOI":"10.1145\/3386569.3392425"},{"key":"e_1_3_3_2_17_1","doi-asserted-by":"crossref","unstructured":"Y. Li and J. Barbic. 2015. Stable Anisotropic Materials. IEEE Transactions on Visualization & Computer Graphics 21 10 (2015) 1129\u20131137.","DOI":"10.1109\/TVCG.2015.2448105"},{"key":"e_1_3_3_2_18_1","doi-asserted-by":"crossref","unstructured":"Yue Li Stelian Coros and Bernhard Thomaszewski. 2023. Neural Metamaterial Networks for Nonlinear Material Design. ACM Trans. Graph. 42 6 Article 186 (2023) 13\u00a0pages.","DOI":"10.1145\/3618325"},{"key":"e_1_3_3_2_19_1","doi-asserted-by":"crossref","unstructured":"Kevin Linka Markus Hillg\u00c3\u00a4rtner Kian\u00a0P. Abdolazizi Roland\u00a0C. Aydin Mikhail Itskov and Christian\u00a0J. Cyron. 2021. Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning. J. Comput. Phys. 429 (2021) 110010.","DOI":"10.1016\/j.jcp.2020.110010"},{"key":"e_1_3_3_2_20_1","doi-asserted-by":"crossref","unstructured":"Filippo Masi Ioannis Stefanou Paolo Vannucci and Victor Maffi-Berthier. 2021. Thermodynamics-based Artificial Neural Networks for constitutive modeling. Journal of the Mechanics and Physics of Solids 147 (2021) 104277.","DOI":"10.1016\/j.jmps.2020.104277"},{"key":"e_1_3_3_2_21_1","doi-asserted-by":"crossref","unstructured":"E. Miguel D. Bradley B. Thomaszewski B. Bickel W. Matusik M.\u00a0A. Otaduy and S. Marschner. 2012. Data-Driven Estimation of Cloth Simulation Models. Comput. Graph. Forum 31 2pt2 (2012) 519\u2013528.","DOI":"10.1111\/j.1467-8659.2012.03031.x"},{"key":"e_1_3_3_2_22_1","doi-asserted-by":"crossref","unstructured":"Eder Miguel David Miraut and Miguel\u00a0A. Otaduy. 2016. Modeling and Estimation of Energy-Based Hyperelastic Objects. Computer Graphics Forum 35 2 (2016) 385\u2013396.","DOI":"10.1111\/cgf.12840"},{"key":"e_1_3_3_2_23_1","doi-asserted-by":"crossref","unstructured":"Eder Miguel Rasmus Tamstorf Derek Bradley Sara\u00a0C. Schvartzman Bernhard Thomaszewski Bernd Bickel Wojciech Matusik Steve Marschner and Miguel\u00a0A. Otaduy. 2013. Modeling and estimation of internal friction in cloth. ACM Trans. Graph. 32 6 Article 212 (2013) 10\u00a0pages.","DOI":"10.1145\/2508363.2508389"},{"key":"e_1_3_3_2_24_1","doi-asserted-by":"crossref","unstructured":"Zahra Montazeri Chang Xiao Yun Fei Changxi Zheng and Shuang Zhao. 2021. Mechanics-Aware Modeling of Cloth Appearance. IEEE Transactions on Visualization and Computer Graphics 27 1 (2021) 137\u2013150.","DOI":"10.1109\/TVCG.2019.2937301"},{"key":"e_1_3_3_2_25_1","doi-asserted-by":"publisher","unstructured":"Davood Mousanezhad Sahab Babaee Hamid Ebrahimi Ranajay Ghosh A.M.S Hamouda Katia Bertoldi and Ashkan Vaziri. 2015. Hierarchical honeycomb auxetic metamaterials. Scientific reports 5 (12 2015) 18306. 10.1038\/srep18306","DOI":"10.1038\/srep18306"},{"key":"e_1_3_3_2_26_1","doi-asserted-by":"crossref","unstructured":"Francis\u00a0J. Narcowich and Joseph\u00a0D. Ward. 1994. Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions. Math. Comp. 63 208 (1994) 661\u2013687.","DOI":"10.2307\/2153288"},{"key":"e_1_3_3_2_27_1","doi-asserted-by":"crossref","unstructured":"Julian Panetta Qingnan Zhou Luigi Malomo Nico Pietroni Paolo Cignoni and Denis Zorin. 2015. Elastic Textures for Additive Fabrication. ACM Trans. Graph. 34 4 Article 135 (2015) 12\u00a0pages.","DOI":"10.1145\/2766937"},{"key":"e_1_3_3_2_28_1","doi-asserted-by":"crossref","unstructured":"Carlos Rodriguez-Pardo Melania Prieto-Martin Dan Casas and Elena Garces. 2023. How Will It Drape Like? Capturing Fabric Mechanics from Depth Images. Computer Graphics Forum 42 2 (2023) 149\u2013160.","DOI":"10.1111\/cgf.14750"},{"key":"e_1_3_3_2_29_1","doi-asserted-by":"crossref","unstructured":"Christian Schumacher Bernd Bickel Jan Rys Steve Marschner Chiara Daraio and Markus Gross. 2015. Microstructures to Control Elasticity in 3D Printing. ACM Trans. Graph. 34 4 (2015) 136:1\u2013136:13.","DOI":"10.1145\/2766926"},{"key":"e_1_3_3_2_30_1","doi-asserted-by":"crossref","unstructured":"Christian Schumacher Steve Marschner Markus Gross and Bernhard Thomaszewski. 2018. Mechanical Characterization of Structured Sheet Materials. ACM Trans. Graph. 37 4 Article 148 (2018) 15\u00a0pages.","DOI":"10.1145\/3197517.3201278"},{"key":"e_1_3_3_2_31_1","doi-asserted-by":"crossref","unstructured":"Y. Shen K. Chandrashekhara W.F. Breig and L.R. Oliver. 2005. Finite element analysis of V-ribbed belts using neural network based hyperelastic material model. International Journal of Non-Linear Mechanics 40 6 (2005) 875\u2013890.","DOI":"10.1016\/j.ijnonlinmec.2004.10.005"},{"key":"e_1_3_3_2_32_1","doi-asserted-by":"crossref","unstructured":"Breannan Smith Fernando\u00a0De Goes and Theodore Kim. 2018. Stable Neo-Hookean Flesh Simulation. ACM Trans. Graph. 37 2 Article 12 (mar 2018) 15\u00a0pages.","DOI":"10.1145\/3180491"},{"key":"e_1_3_3_2_33_1","doi-asserted-by":"crossref","unstructured":"Georg Sperl Rahul Narain and Chris Wojtan. 2020. Homogenized Yarn-Level Cloth. ACM Transactions on Graphics (TOG) 39 4 Article 48 (2020) 16\u00a0pages.","DOI":"10.1145\/3386569.3392412"},{"key":"e_1_3_3_2_34_1","doi-asserted-by":"crossref","unstructured":"Georg Sperl Rahul Narain and Chris Wojtan. 2021. Mechanics-aware deformation of yarn pattern geometry. ACM Trans. Graph. 40 4 Article 168 (2021) 11\u00a0pages.","DOI":"10.1145\/3476576.3476754"},{"key":"e_1_3_3_2_35_1","doi-asserted-by":"crossref","unstructured":"Georg Sperl Rosa\u00a0M. S\u00e1nchez-Banderas Manwen Li Chris Wojtan and Miguel\u00a0A. Otaduy. 2022. Estimation of Yarn-Level Simulation Models for Production Fabrics. ACM Transactions on Graphics (TOG) 41 4 Article 65 (2022) 15\u00a0pages.","DOI":"10.1145\/3528223.3530167"},{"key":"e_1_3_3_2_36_1","doi-asserted-by":"crossref","unstructured":"Bin Wang Yuanmin Deng Paul Kry Uri Ascher Hui Huang and Baoquan Chen. 2020. Learning Elastic Constitutive Material and Damping Models. Computer Graphics Forum 39 7 (2020) 81\u201391.","DOI":"10.1111\/cgf.14128"},{"key":"e_1_3_3_2_37_1","doi-asserted-by":"publisher","DOI":"10.1145\/1964921.1964966"},{"key":"e_1_3_3_2_38_1","doi-asserted-by":"crossref","unstructured":"Jiahao Wen and Jernej Barbi\u010d. 2023. Kirchhoff-Love Shells with Arbitrary Hyperelastic Materials. ACM Trans. Graph. 42 6 Article 174 (2023) 15\u00a0pages.","DOI":"10.1145\/3618405"},{"key":"e_1_3_3_2_39_1","doi-asserted-by":"crossref","unstructured":"Hongyi Xu Funshing Sin Yufeng Zhu and Jernej Barbi\u010d. 2015. Nonlinear Material Design Using Principal Stretches. ACM Trans. Graph. 34 4 Article 75 (2015) 11\u00a0pages.","DOI":"10.1145\/2766917"},{"key":"e_1_3_3_2_40_1","doi-asserted-by":"crossref","unstructured":"Kailai Xu Daniel\u00a0Z. Huang and Eric Darve. 2021. Learning constitutive relations using symmetric positive definite neural networks. J. Comput. Phys. 428 (2021) 110072.","DOI":"10.1016\/j.jcp.2020.110072"},{"key":"e_1_3_3_2_41_1","doi-asserted-by":"crossref","unstructured":"Zhan Zhang Christopher Brandt Jean Jouve Yue Wang Tian Chen Mark Pauly and Julian Panetta. 2023. Computational Design of Flexible Planar Microstructures. ACM Trans. Graph. 42 6 Article 185 (2023) 16\u00a0pages.","DOI":"10.1145\/3618396"}],"event":{"name":"SA '24: SIGGRAPH Asia 2024 Conference Papers","sponsor":["SIGGRAPH ACM Special Interest Group on Computer Graphics and Interactive Techniques"],"location":"Tokyo Japan","acronym":"SA '24"},"container-title":["SIGGRAPH Asia 2024 Conference Papers"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3680528.3687693","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3680528.3687693","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T01:18:20Z","timestamp":1750295900000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3680528.3687693"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,3]]},"references-count":40,"alternative-id":["10.1145\/3680528.3687693","10.1145\/3680528"],"URL":"https:\/\/doi.org\/10.1145\/3680528.3687693","relation":{},"subject":[],"published":{"date-parts":[[2024,12,3]]},"assertion":[{"value":"2024-12-03","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}