{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T19:10:05Z","timestamp":1783105805870,"version":"3.54.6"},"reference-count":79,"publisher":"Association for Computing Machinery (ACM)","issue":"5","content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2025,10,31]]},"abstract":"<jats:p>\n            Compressed representations of 3D shapes that are compact, accurate, and can be processed efficiently directly in compressed form, are extremely useful for digital media applications. Recent approaches in this space focus on learned\n            <jats:italic toggle=\"yes\">implicit<\/jats:italic>\n            or\n            <jats:italic toggle=\"yes\">parametric<\/jats:italic>\n            representations. While implicits are well suited for tasks such as in-out queries, they lack natural 2D parameterization, complicating tasks such as texture or normal mapping. Conversely, parametric representations support the latter tasks but are ill-suited for occupancy queries. We propose a novel learned alternative to these approaches, based on intersections of localized\n            <jats:italic toggle=\"yes\">explicit<\/jats:italic>\n            , or\n            <jats:italic toggle=\"yes\">height-field<\/jats:italic>\n            , surfaces. Since explicits can be trivially expressed both implicitly and parametrically, NESI directly supports a wider range of processing operations than implicit alternatives, including occupancy queries and parametric access. We represent input shapes using a collection of differently oriented height-field bounded half-spaces combined using volumetric Boolean intersections. We first tightly bound each input using a pair of oppositely oriented height-fields, forming a\n            <jats:italic toggle=\"yes\">Double Height-Field (DHF) Hull<\/jats:italic>\n            . We refine this hull by intersecting it with additional\n            <jats:italic toggle=\"yes\">localized height-fields (HFs)<\/jats:italic>\n            that capture surface regions in its interior. We minimize the number of HFs necessary to accurately capture each input and compactly encode both the DHF hull and the local HFs as neural functions defined over subdomains of\n            <jats:inline-formula content-type=\"math\/tex\">\n              <jats:tex-math notation=\"LaTeX\" version=\"MathJax\">\\(\\mathbb {R}^2\\)<\/jats:tex-math>\n            <\/jats:inline-formula>\n            . This reduced dimensionality encoding delivers high-quality compact approximations. Given similar parameter count, or storage capacity, NESI significantly reduces approximation error compared to the state-of-the-art, especially at lower parameter counts.\n          <\/jats:p>","DOI":"10.1145\/3742893","type":"journal-article","created":{"date-parts":[[2025,6,14]],"date-time":"2025-06-14T10:49:43Z","timestamp":1749898183000},"page":"1-23","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["NESI: Neural Explicit-Shape-Intersection-Based Geometry Representation"],"prefix":"10.1145","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4259-2863","authenticated-orcid":false,"given":"Congyi","family":"Zhang","sequence":"first","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-9028-3583","authenticated-orcid":false,"given":"Jinfan","family":"Yang","sequence":"additional","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-8097-7510","authenticated-orcid":false,"given":"Eric","family":"Hedlin","sequence":"additional","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-8910-679X","authenticated-orcid":false,"given":"Suzuran","family":"Takikawa","sequence":"additional","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-4369-7852","authenticated-orcid":false,"given":"Nicholas","family":"Vining","sequence":"additional","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]},{"name":"NVIDIA","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9036-3822","authenticated-orcid":false,"given":"Kwang Moo","family":"Yi","sequence":"additional","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2284-3952","authenticated-orcid":false,"given":"Wenping","family":"Wang","sequence":"additional","affiliation":[{"name":"Texas A&M University","place":["College Station, United States"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9251-3716","authenticated-orcid":false,"given":"Alla","family":"Sheffer","sequence":"additional","affiliation":[{"name":"Computer Science, The University of British Columbia","place":["Vancouver, Canada"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2025,7,4]]},"reference":[{"issue":"6","key":"e_1_3_3_2_1","article-title":"Volume decomposition for two-piece rigid casting.","volume":"40","author":"Alderighi Thomas","year":"2021","unstructured":"Thomas Alderighi, Luigi Malomo, Bernd Bickel, Paolo Cignoni, and Nico Pietroni. 2021. Volume decomposition for two-piece rigid casting. ACM Transactions on Graphics 40, 6 (2021), 272\u20131.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_3_1","first-page":"1","volume-title":"Proceedings of the 13th European Signal Processing Conference","author":"Alliez Pierre","year":"2005","unstructured":"Pierre Alliez. 2005. Recent advances in compression of 3D meshes. In Proceedings of the 13th European Signal Processing Conference. IEEE, 1\u20134."},{"key":"e_1_3_3_4_1","volume-title":"Proceedings of the Graphics Interface\u201906","author":"Baboud Lionel","year":"2006","unstructured":"Lionel Baboud and Xavier D\u00e9coret. 2006. Rendering geometry with relief textures. In Proceedings of the Graphics Interface\u201906."},{"key":"e_1_3_3_5_1","first-page":"4716","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Bednarik Jan","year":"2020","unstructured":"Jan Bednarik, Shaifali Parashar, Erhan Gundogdu, Mathieu Salzmann, and Pascal Fua. 2020. Shape reconstruction by learning differentiable surface representations. In Proceedings of the IEEE\/CVF CVPR. 4716\u20134725."},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/357306.357310"},{"key":"e_1_3_3_7_1","first-page":"185","volume-title":"Proceedings of the Eurographics SGPR","author":"Botsch Mario","year":"2004","unstructured":"Mario Botsch and Leif Kobbelt. 2004. A remeshing approach to multiresolution modeling. In Proceedings of the Eurographics SGPR. 185\u2013192."},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1201\/b10688"},{"key":"e_1_3_3_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/16864360.2017.1397894"},{"key":"e_1_3_3_10_1","first-page":"181","volume-title":"Proceedings of the SGP","author":"Carr Nathan A.","year":"2006","unstructured":"Nathan A. Carr, Jared Hoberock, Keenan Crane, and John C. Hart. 2006. Rectangular multi-chart geometry images. In Proceedings of the SGP. 181\u2013190."},{"key":"e_1_3_3_11_1","volume-title":"Proceedings of the SMI","author":"Chen Jianer","year":"1999","unstructured":"Jianer Chen and Ergun Akleman. 1999. Generalized distance functions. In Proceedings of the SMI."},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/3588432.3591531"},{"key":"e_1_3_3_13_1","first-page":"4182","volume-title":"Proceedings of the IEEE\/CVR CVPR","author":"Chen Zhang","year":"2023","unstructured":"Zhang Chen, Zhong Li, Liangchen Song, Lele Chen, Jingyi Yu, Junsong Yuan, and Yi Xu. 2023b. NeuRBF: A neural fields representation with adaptive radial basis functions. In Proceedings of the IEEE\/CVR CVPR. 4182\u20134194."},{"key":"e_1_3_3_14_1","first-page":"5939","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Chen Zhiqin","year":"2019","unstructured":"Zhiqin Chen and Hao Zhang. 2019. Learning implicit fields for generative shape modeling. In Proceedings of the IEEE\/CVF CVPR. 5939\u20135948."},{"key":"e_1_3_3_15_1","doi-asserted-by":"publisher","DOI":"10.5555\/2834241"},{"key":"e_1_3_3_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2461986"},{"key":"e_1_3_3_17_1","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1145\/237170.237269","volume-title":"Proceedings of the Annual Conference on Computer Graphics and Interactive Techniques.","author":"Curless Brian","year":"1996","unstructured":"Brian Curless and Marc Levoy. 1996. A volumetric method for building complex models from range images. In Proceedings of the Annual Conference on Computer Graphics and Interactive Techniques.303\u2013312."},{"key":"e_1_3_3_18_1","unstructured":"Thomas Davies Derek Nowrouzezahrai and Alec Jacobson. 2021. On the Effectiveness of Weight-Encoded Neural Implicit 3D Shapes. (2021). arxiv:cs.GR\/2009.09808. Retrieved from https:\/\/arxiv.org\/abs\/2009.09808"},{"key":"e_1_3_3_19_1","first-page":"593","volume-title":"Proceedings of the International Conference on 3D Vision","author":"Deng Zhantao","year":"2020","unstructured":"Zhantao Deng, Jan Bedna\u0159\u00edk, Mathieu Salzmann, and Pascal Fua. 2020. Better patch stitching for parametric surface reconstruction. In Proceedings of the International Conference on 3D Vision. IEEE, 593\u2013602."},{"key":"e_1_3_3_20_1","article-title":"Learning joint surface atlases","author":"Deprelle Theo","year":"2022","unstructured":"Theo Deprelle, Thibault Groueix, Noam Aigerman, Vladimir G. Kim, and Mathieu Aubry. 2022. Learning joint surface atlases. ECCV Workshop, Learning to Generate 3D Shapes and Scenes 2022 (2022).","journal-title":"ECCV Workshop, Learning to Generate 3D Shapes and Scenes 2022"},{"key":"e_1_3_3_21_1","first-page":"7433","volume-title":"Proceedings of the Advances in Neural Information Processing Systems","author":"Deprelle Theo","year":"2019","unstructured":"Theo Deprelle, Thibault Groueix, Matthew Fisher, Vladimir Kim, Bryan Russell, and Mathieu Aubry. 2019. Learning elementary structures for 3D shape generation and matching. In Proceedings of the Advances in Neural Information Processing Systems. 7433\u20137443."},{"key":"e_1_3_3_22_1","volume-title":"Curves and Surfaces for CAGD: A Practical Guide","author":"Farin Gerald E.","year":"2002","unstructured":"Gerald E. Farin. 2002. Curves and Surfaces for CAGD: A Practical Guide. Morgan Kaufmann."},{"issue":"6","key":"e_1_3_3_23_1","article-title":"Terrain decomposition and layered manufacturing","volume":"11","author":"Fekete S\u00e1ndor","year":"2001","unstructured":"S\u00e1ndor Fekete and Joseph Mitchell. 2001. Terrain decomposition and layered manufacturing. Computational Geometry and Applications 11, 6 (2001), 647\u2013668.","journal-title":"Computational Geometry and Applications"},{"key":"e_1_3_3_24_1","doi-asserted-by":"publisher","DOI":"10.1145\/2807442.2807476"},{"key":"e_1_3_3_25_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1952.tb00104.x"},{"key":"e_1_3_3_26_1","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Groueix Thibault","year":"2018","unstructured":"Thibault Groueix, Matthew Fisher, Vladimir G. Kim, Bryan Russell, and Mathieu Aubry. 2018. AtlasNet: A Papier-M\u00e2ch\u00e9 approach to learning 3D surface generation. In Proceedings of the IEEE\/CVF CVPR."},{"key":"e_1_3_3_27_1","first-page":"355","volume-title":"Proceedings of the SIGGRAPH 2002","author":"Gu Xianfeng","year":"2002","unstructured":"Xianfeng Gu, Steven J. Gortler, and Hugues Hoppe. 2002. Geometry images. In Proceedings of the SIGGRAPH 2002. 355\u2013361."},{"key":"e_1_3_3_28_1","first-page":"95","volume-title":"Proceedings of the CGIT","author":"Guskov Igor","year":"2000","unstructured":"Igor Guskov, Kiril Vidim\u010de, Wim Sweldens, and Peter Schr\u00f6der. 2000. Normal meshes. In Proceedings of the CGIT. 95\u2013102."},{"issue":"4","key":"e_1_3_3_29_1","article-title":"MeshCNN: A network with an edge","volume":"38","author":"Hanocka Rana","year":"2019","unstructured":"Rana Hanocka, Amir Hertz, Noa Fish, Raja Giryes, Shachar Fleishman, and Daniel Cohen-Or. 2019. MeshCNN: A network with an edge. ACM Transactions on Graphics 38, 4 (2019).","journal-title":"ACM Transactions on Graphics"},{"issue":"2","key":"e_1_3_3_30_1","article-title":"Approximating free-form geometry with height fields for manufacturing","volume":"34","author":"Herholz Philipp","year":"2015","unstructured":"Philipp Herholz, Wojciech Matusik, and Marc Alexa. 2015. Approximating free-form geometry with height fields for manufacturing. Computer Graphics Forum 34, 2 (2015), 239\u2013251.","journal-title":"Computer Graphics Forum"},{"issue":"6","key":"e_1_3_3_31_1","article-title":"Approximate pyramidal shape decomposition","volume":"33","author":"Hu Ruizhen","year":"2014","unstructured":"Ruizhen Hu, Honghua Li, Hao Zhang, and Daniel Cohen-Or. 2014. Approximate pyramidal shape decomposition. ACM Transactions on Graphics 33, 6, (2014), 1\u201312.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_32_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2006.56"},{"key":"e_1_3_3_33_1","volume-title":"Proceedings of the ACM SIGGRAPH Talks","author":"Karis Brian","year":"2021","unstructured":"Brian Karis, Rune Stubbe, and Graham Wihlidal. 2021. A deep dive into nanite virtualized geometry. In Proceedings of the ACM SIGGRAPH Talks."},{"issue":"6","key":"e_1_3_3_34_1","article-title":"Spherical fibonacci mapping","volume":"34","author":"Keinert Benjamin","year":"2015","unstructured":"Benjamin Keinert, Matthias Innmann, Michael S\u00e4nger, and Marc Stamminger. 2015. Spherical fibonacci mapping. ACM Transactions on Graphics 34, 6, (2015), 1\u20137.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_35_1","first-page":"271","volume-title":"Proceedings of the CGIT","author":"Khodakovsky Andrei","year":"2000","unstructured":"Andrei Khodakovsky, Peter Schr\u00f6der, and Wim Sweldens. 2000. Progressive geometry compression. In Proceedings of the CGIT. 271\u2013278."},{"key":"e_1_3_3_36_1","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Koch Sebastian","year":"2019","unstructured":"Sebastian Koch, Albert Matveev, Zhongshi Jiang, Francis Williams, Alexey Artemov, Evgeny Burnaev, Marc Alexa, Denis Zorin, and Daniele Panozzo. 2019. ABC: A big CAD model dataset for geometric deep learning. In Proceedings of the IEEE\/CVF CVPR."},{"key":"e_1_3_3_37_1","first-page":"191","volume-title":"Proceedings of the SGP.","author":"Li Wan-Chiu","year":"2006","unstructured":"Wan-Chiu Li, Nicolas Ray, and Bruno L\u00e9vy. 2006. Automatic and interactive mesh to T-spline conversion. In Proceedings of the SGP.191\u2013200."},{"key":"e_1_3_3_38_1","first-page":"292","volume-title":"Proceedings of the Data Compression Conference","author":"Li Yuanzhan","year":"2022","unstructured":"Yuanzhan Li, Yuqi Liu, Yujie Lu, Siyu Zhang, Shen Cai, and Yanting Zhang. 2022. High-fidelity 3D model compression based on key spheres. In Proceedings of the Data Compression Conference. 292\u2013301."},{"key":"e_1_3_3_39_1","first-page":"15217","volume-title":"Proceedings of the Advances in Neural Information Processing Systems","volume":"35","author":"Lin Connor","year":"2022","unstructured":"Connor Lin, Niloy Mitra, Gordon Wetzstein, Leonidas J. Guibas, and Paul Guerrero. 2022. NeuForm: Adaptive overfitting for neural shape editing. In Proceedings of the Advances in Neural Information Processing Systems, S. Koyejo, S. Mohamed, A. Agarwal, D. Belgrave, K. Cho, and A. Oh (Eds.). Vol. 35, Curran Associates, Inc., 15217\u201315229. Retrieved from https:\/\/proceedings.neurips.cc\/paper_files\/paper\/2022\/file\/623e5a86fcedca573d33390dd1173e6b-Paper-Conference.pdf"},{"key":"e_1_3_3_40_1","first-page":"319","volume-title":"Proceedings of the VIS\u201901.","author":"Litke Nathan","year":"2001","unstructured":"Nathan Litke, Adi Levin, and Peter Schr\u00f6der. 2001. Fitting subdivision surfaces. In Proceedings of the VIS\u201901.319\u2013324."},{"key":"e_1_3_3_41_1","doi-asserted-by":"publisher","DOI":"10.1109\/38.920624"},{"key":"e_1_3_3_42_1","doi-asserted-by":"publisher","DOI":"10.1145\/3592440"},{"issue":"3","key":"e_1_3_3_43_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/2693443","article-title":"3d mesh compression: Survey, comparisons, and emerging trends","volume":"47","author":"Maglo Adrien","year":"2015","unstructured":"Adrien Maglo, Guillaume Lavou\u00e9, Florent Dupont, and C\u00e9line Hudelot. 2015. 3d mesh compression: Survey, comparisons, and emerging trends. ACM Computing Surveys 47, 3 (2015), 1\u201341.","journal-title":"ACM Computing Surveys"},{"issue":"4","key":"e_1_3_3_44_1","article-title":"Convolutional neural networks on surfaces via seamless toric covers.","volume":"36","author":"Maron Haggai","year":"2017","unstructured":"Haggai Maron, Meirav Galun, Noam Aigerman, Miri Trope, Nadav Dym, Ersin Yumer, Vladimir G Kim, and Yaron Lipman. 2017. Convolutional neural networks on surfaces via seamless toric covers. ACM Transactions on Graphics 36, 4 (2017), 71\u20131.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_45_1","doi-asserted-by":"crossref","DOI":"10.1007\/b138823","volume-title":"Applied Geometry for Computer Graphics and CAD","author":"Marsh Duncan","year":"2005","unstructured":"Duncan Marsh. 2005. Applied Geometry for Computer Graphics and CAD. Springer Science and Business Media."},{"key":"e_1_3_3_46_1","first-page":"4460","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Mescheder Lars","year":"2019","unstructured":"Lars Mescheder, Michael Oechsle, Michael Niemeyer, Sebastian Nowozin, and Andreas Geiger. 2019. Occupancy networks: Learning 3d reconstruction in function space. In Proceedings of the IEEE\/CVF CVPR. 4460\u20134470."},{"key":"e_1_3_3_47_1","first-page":"19333","volume-title":"Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition","author":"Morreale Luca","year":"2022","unstructured":"Luca Morreale, Noam Aigerman, Paul Guerrero, Vladimir G. Kim, and Niloy J. Mitra. 2022. Neural convolutional surfaces. In Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition. 19333\u201319342."},{"key":"e_1_3_3_48_1","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR46437.2021.00461"},{"key":"e_1_3_3_49_1","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR46437.2021.00461"},{"key":"e_1_3_3_50_1","doi-asserted-by":"publisher","DOI":"10.1145\/3528223.3530127"},{"issue":"5","key":"e_1_3_3_51_1","first-page":"169:1\u2013169:15","article-title":"Axis-aligned height-field block decomposition of 3D shapes","volume":"37","author":"Muntoni Alessandro","year":"2018","unstructured":"Alessandro Muntoni, Marco Livesu, Riccardo Scateni, Alla Sheffer, and Daliele Panozzo. 2018. Axis-aligned height-field block decomposition of 3D shapes. ACM Transactions on Graphics 37, 5 (2018), 169:1\u2013169:15.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_52_1","volume-title":"Proceedings of the Smart Tools and Apps for Graphics","author":"Muntoni Alessandro","year":"2019","unstructured":"Alessandro Muntoni, Lucio Davide Spano, and Riccardo Scateni. 2019. Split and mill: User assisted height-field block decomposition for fabrication. In Proceedings of the Smart Tools and Apps for Graphics."},{"issue":"3","key":"e_1_3_3_53_1","article-title":"VDB: High-resolution sparse volumes with dynamic topology","volume":"32","year":"2013","unstructured":"Ken Museth. 2013. VDB: High-resolution sparse volumes with dynamic topology. ACM Transactions on Graphics 32, 3 (2013), 1\u201322.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_54_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601154"},{"key":"e_1_3_3_55_1","first-page":"403","volume-title":"Proceedings of the Computer Graphics Forum","author":"Nov\u00e1k Jan","year":"2012","unstructured":"Jan Nov\u00e1k and Carsten Dachsbacher. 2012. Rasterized bounding volume hierarchies. In Proceedings of the Computer Graphics Forum. Wiley Online Library, 403\u2013412."},{"key":"e_1_3_3_56_1","doi-asserted-by":"publisher","DOI":"10.1145\/344779.344947"},{"key":"e_1_3_3_57_1","volume-title":"Level Set Methods and Dynamic Implicit Surfaces","author":"Osher Stanley","year":"2005","unstructured":"Stanley Osher and Ronald P. Fedkiw. 2005. Level Set Methods and Dynamic Implicit Surfaces. Springer-Verlag."},{"key":"e_1_3_3_58_1","first-page":"165","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Park Jeong Joon","year":"2019","unstructured":"Jeong Joon Park, Peter Florence, Julian Straub, Richard Newcombe, and Steven Lovegrove. 2019. DeepSDF: Learning continuous signed distance functions for shape representation. In Proceedings of the IEEE\/CVF CVPR. 165\u2013174."},{"key":"e_1_3_3_59_1","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition","author":"Richter Stephan R.","year":"2018","unstructured":"Stephan R. Richter and Stefan Roth. 2018. Matryoshka networks: Predicting 3D geometry via nested shape layers. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition."},{"key":"e_1_3_3_60_1","volume-title":"Proceedings of the SGP 2003","author":"Sander Pedro V.","year":"2003","unstructured":"Pedro V. Sander, Zo\u00eb J. Wood, Steven Gortler, John Snyder, and Hugues Hoppe. 2003. Multi-chart geometry images. In Proceedings of the SGP 2003."},{"key":"e_1_3_3_61_1","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1145\/1179352.1141930","volume-title":"Proceedings of the ACM SIGGRAPH 2006 Papers","author":"Schmidt Ryan","year":"2006","unstructured":"Ryan Schmidt, Cindy Grimm, and Brian Wyvill. 2006. Interactive decal compositing with discrete exponential maps. In Proceedings of the ACM SIGGRAPH 2006 Papers. 605\u2013613."},{"key":"e_1_3_3_62_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280882"},{"key":"e_1_3_3_63_1","first-page":"10136","article-title":"MetaSDF: Meta-learning signed distance functions","volume":"33","author":"Sitzmann Vincent","year":"2020","unstructured":"Vincent Sitzmann, Eric Chan, Richard Tucker, Noah Snavely, and Gordon Wetzstein. 2020a. MetaSDF: Meta-learning signed distance functions. Advances in Neural Information Processing Systems 33 (2020), 10136\u201310147.","journal-title":"Advances in Neural Information Processing Systems"},{"key":"e_1_3_3_64_1","unstructured":"Vincent Sitzmann Julien Martel Alexander Bergman David Lindell and Gordon Wetzstein. 2020. Implicit neural representations with periodic activation functions. Advances in Neural Information Processing Systems 33 (2020) 7462\u20137473."},{"key":"e_1_3_3_65_1","first-page":"1","volume-title":"Proceedings of the ACM SIGGRAPH 2024 Conference Papers","author":"Sivaram Venkataram","year":"2024","unstructured":"Venkataram Sivaram, Tzu-Mao Li, and Ravi Ramamoorthi. 2024. Neural geometry fields for meshes. In Proceedings of the ACM SIGGRAPH 2024 Conference Papers. 1\u201311."},{"key":"e_1_3_3_66_1","article-title":"The Stanford 3D Scanning Repository","year":"2024","unstructured":"Stanford. 2024. The Stanford 3D Scanning Repository. Retrieved from http:\/\/graphics.stanford.edu\/data\/3Dscanrep\/. (2024).","journal-title":"http:\/\/graphics.stanford.edu\/data\/3Dscanrep\/"},{"key":"e_1_3_3_67_1","first-page":"1","volume-title":"Proceedings of the SIGGRAPH 2023 Conference Papers","author":"Takikawa Towaki","year":"2022","unstructured":"Towaki Takikawa, Alex Evans, Jonathan Tremblay, Thomas M\u00fcller, Morgan McGuire, Alec Jacobson, and Sanja Fidler. 2022a. Variable bitrate neural fields. In Proceedings of the SIGGRAPH 2023 Conference Papers. 1\u20139."},{"issue":"2","key":"e_1_3_3_68_1","first-page":"1","article-title":"A dataset and explorer for 3D signed distance functions","volume":"11","author":"Takikawa Towaki","year":"2022","unstructured":"Towaki Takikawa, Andrew Glassner, and Morgan McGuire. 2022b. A dataset and explorer for 3D signed distance functions. Journal of Computer Graphics Techniques 11, 2 (2022), 1\u201329.","journal-title":"Journal of Computer Graphics Techniques"},{"key":"e_1_3_3_69_1","first-page":"11358","volume-title":"Proceedings of the IEEE\/CVF CVPR","author":"Takikawa Towaki","year":"2021","unstructured":"Towaki Takikawa, Joey Litalien, Kangxue Yin, Karsten Kreis, Charles Loop, Derek Nowrouzezahrai, Alec Jacobson, Morgan McGuire, and Sanja Fidler. 2021. Neural geometric level of detail: Real-time rendering with implicit 3D shapes. In Proceedings of the IEEE\/CVF CVPR. 11358\u201311367."},{"key":"e_1_3_3_70_1","first-page":"1","volume-title":"Proceedings of the SIGGRAPH Asia 2023 Conference Papers","author":"Takikawa Towaki","year":"2023","unstructured":"Towaki Takikawa, Thomas M\u00fcller, Merlin Nimier-David, Alex Evans, Sanja Fidler, Alec Jacobson, and Alexander Keller. 2023. Compact neural graphics primitives with learned hash probing. In Proceedings of the SIGGRAPH Asia 2023 Conference Papers. 1\u201310."},{"key":"e_1_3_3_71_1","first-page":"7537","article-title":"Fourier features let networks learn high frequency functions in low dimensional domains","volume":"33","author":"Tancik Matthew","year":"2020","unstructured":"Matthew Tancik, Pratul Srinivasan, Ben Mildenhall, Sara Fridovich-Keil, Nithin Raghavan, Utkarsh Singhal, Ravi Ramamoorthi, Jonathan Barron, and Ren Ng. 2020. Fourier features let networks learn high frequency functions in low dimensional domains. Advances in Neural Information Processing Systems 33 (2020), 7537\u20137547.","journal-title":"Advances in Neural Information Processing Systems"},{"key":"e_1_3_3_72_1","doi-asserted-by":"publisher","DOI":"10.1145\/3478513.3480535"},{"key":"e_1_3_3_73_1","doi-asserted-by":"publisher","DOI":"10.1145\/192161.192241"},{"key":"e_1_3_3_74_1","doi-asserted-by":"publisher","DOI":"10.1145\/3658226"},{"key":"e_1_3_3_75_1","doi-asserted-by":"crossref","unstructured":"Brian Wyvill Eric Galin and Andrew Guy. 1999. Extending the CSG tree. Warping blending and boolean operations in an implicit surface modeling system. Computer Graphics Forum 18 2 (1999) 149\u2013158.","DOI":"10.1111\/1467-8659.00365"},{"issue":"6","key":"e_1_3_3_76_1","article-title":"DHFSlicer: Double height-field slicing for milling fixed-height materials","volume":"39","author":"Yang Jinfan","year":"2020","unstructured":"Jinfan Yang, Chrystiano Ara\u00fajo, Nicholas Vining, Zachary Ferguson, Enrique Rosales, Daniele Panozzo, Sylvain Lefevbre, Paolo Cignoni, and Alla Sheffer. 2020. DHFSlicer: Double height-field slicing for milling fixed-height materials. ACM Transactions on Graphics 39, 6 (2020), 17.","journal-title":"ACM Transactions on Graphics"},{"key":"e_1_3_3_77_1","unstructured":"Lei Yang Yongqing Liang Xin Li Congyi Zhang Guying Lin Alla Sheffer Scott Schaefer John Keyser and Wenping Wang. 2023. Neural Parametric Surfaces for Shape Modeling. (2023). arxiv:cs.GR\/2309.09911. Retrieved from https:\/\/arxiv.org\/abs\/2309.09911"},{"key":"e_1_3_3_78_1","doi-asserted-by":"crossref","DOI":"10.2737\/FPL-GTR-290","volume-title":"Proceedings of the ICLR","author":"Yifan Wang","year":"2022","unstructured":"Wang Yifan, Lukas Rahmann, and Olga Sorkine-Hornung. 2022. Geometry-consistent neural shape representation with implicit displacement fields. In Proceedings of the ICLR."},{"key":"e_1_3_3_79_1","first-page":"22807","volume-title":"Proceedings of the Advances in Neural Information Processing Systems","author":"Yu Fenggen","year":"2023","unstructured":"Fenggen Yu, Qimin Chen, Maham Tanveer, Ali Mahdavi Amiri, and Hao Zhang. 2023. D \\(^2\\) CSG: Unsupervised learning of compact CSG trees with dual complements and dropouts. In Proceedings of the Advances in Neural Information Processing Systems. 22807\u201322819."},{"key":"e_1_3_3_80_1","unstructured":"Qingnan Zhou and Alec Jacobson. 2016. Thingi10K: A dataset of 10 000 3D-Printing models. (2016)."}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3742893","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T10:55:51Z","timestamp":1751626551000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3742893"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,4]]},"references-count":79,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,10,31]]}},"alternative-id":["10.1145\/3742893"],"URL":"https:\/\/doi.org\/10.1145\/3742893","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,4]]},"assertion":[{"value":"2024-09-09","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-05-20","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-07-04","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}