{"oa":1,"publication":"SIGGRAPH Conference Papers","date_created":"2026-05-29T12:53:59Z","ddc":["000"],"month":"06","corr_author":"1","title":"Synchronizing fields with singularities","abstract":[{"text":"A variety of problems in geometry processing boil down to finding the most\r\nparallel field relative to a connection. Instances of this prototypical problem\r\nshow up in computing direction fields and stripe patterns, quadrilateral\r\nmeshing, and visualization of fluid flows. When the class of allowed fields\r\nincludes those with topological defects, a relaxation is required to make\r\nthe problem well-posed. We observe that these problems can be viewed\r\nas synchronization problems, which admit a natural semidefinite relaxation.\r\nWe propose a unified method of solving all these problems via the efficient\r\nBurer-Monteiro factorization method. Geometrically, this amounts to lifting the field values to a higher-dimensional manifold, naturally resolving\r\nthe singular nature of defects. Practically, we show that our convex relaxation method achieves better and more reliable optima than previous work\r\nemploying alternative relaxations","lang":"eng"}],"doi":"10.1145/3799902.3811225","OA_place":"repository","oa_version":"Accepted Version","language":[{"iso":"eng"}],"date_updated":"2026-06-02T06:26:52Z","publication_status":"accepted","citation":{"ista":"Pacheco-Tallaj N, Couplet M, Chien E, Palmer D. Synchronizing fields with singularities. SIGGRAPH Conference Papers. SIGGRAPH: International Conference and Exhibition on Computer Graphics and Interactive Techniques.","ama":"Pacheco-Tallaj N, Couplet M, Chien E, Palmer D. Synchronizing fields with singularities. In: <i>SIGGRAPH Conference Papers</i>. ACM. doi:<a href=\"https://doi.org/10.1145/3799902.3811225\">10.1145/3799902.3811225</a>","ieee":"N. Pacheco-Tallaj, M. Couplet, E. Chien, and D. Palmer, “Synchronizing fields with singularities,” in <i>SIGGRAPH Conference Papers</i>, Los Angeles, CA, United States.","apa":"Pacheco-Tallaj, N., Couplet, M., Chien, E., &#38; Palmer, D. (n.d.). Synchronizing fields with singularities. In <i>SIGGRAPH Conference Papers</i>. Los Angeles, CA, United States: ACM. <a href=\"https://doi.org/10.1145/3799902.3811225\">https://doi.org/10.1145/3799902.3811225</a>","chicago":"Pacheco-Tallaj, Natalia, Matteo Couplet, Edward Chien, and David Palmer. “Synchronizing Fields with Singularities.” In <i>SIGGRAPH Conference Papers</i>. ACM, n.d. <a href=\"https://doi.org/10.1145/3799902.3811225\">https://doi.org/10.1145/3799902.3811225</a>.","short":"N. Pacheco-Tallaj, M. Couplet, E. Chien, D. Palmer, in:, SIGGRAPH Conference Papers, ACM, n.d.","mla":"Pacheco-Tallaj, Natalia, et al. “Synchronizing Fields with Singularities.” <i>SIGGRAPH Conference Papers</i>, ACM, doi:<a href=\"https://doi.org/10.1145/3799902.3811225\">10.1145/3799902.3811225</a>."},"OA_type":"green","type":"conference","quality_controlled":"1","publication_identifier":{"eisbn":["9798400725548"]},"has_accepted_license":"1","file":[{"file_name":"main.pdf","checksum":"384524659fbaf3b9da80c3852ba835af","content_type":"application/pdf","creator":"dpalmer","file_id":"21922","relation":"main_file","access_level":"open_access","date_updated":"2026-05-29T12:53:25Z","file_size":39491071,"date_created":"2026-05-29T12:53:25Z"}],"status":"public","file_date_updated":"2026-05-29T12:53:25Z","acknowledgement":"The authors thank Steven J. Gortler and Nicolas Boumal for interesting discussions.\r\nDavid Palmer acknowledges the generous support of the NSF\r\nMSPRF under award #2303403 during his time at Harvard University.\r\nNatalia Pacheco-Tallaj was supported by the NSF DGE-2141064.\r\nMattéo Couplet was supported by Wallonie-Bruxelles International","conference":{"location":"Los Angeles, CA, United States","end_date":"2026-07-23","name":"SIGGRAPH: International Conference and Exhibition on Computer Graphics and Interactive Techniques","start_date":"2026-07-19"},"department":[{"_id":"ChWo"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2026","day":"01","date_published":"2026-06-01T00:00:00Z","publisher":"ACM","article_processing_charge":"No","_id":"21921","author":[{"last_name":"Pacheco-Tallaj","full_name":"Pacheco-Tallaj, Natalia","first_name":"Natalia"},{"full_name":"Couplet, Matteo","last_name":"Couplet","first_name":"Matteo"},{"full_name":"Chien, Edward","last_name":"Chien","first_name":"Edward"},{"full_name":"Palmer, David","last_name":"Palmer","first_name":"David","id":"6574708f-2fd3-11f0-89e2-ae42ebc712a4","orcid":"0000-0002-1931-5673"}]}