[{"file_date_updated":"2020-10-08T08:56:14Z","ec_funded":1,"date_updated":"2021-01-12T08:17:06Z","date_created":"2020-07-19T22:00:59Z","volume":15,"author":[{"last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"full_name":"Nikitenko, Anton","id":"3E4FF1BA-F248-11E8-B48F-1D18A9856A87","last_name":"Nikitenko","first_name":"Anton"},{"first_name":"Katharina","last_name":"Ölsböck","id":"4D4AA390-F248-11E8-B48F-1D18A9856A87","full_name":"Ölsböck, Katharina"},{"full_name":"Synak, Peter","id":"331776E2-F248-11E8-B48F-1D18A9856A87","last_name":"Synak","first_name":"Peter"}],"publication_status":"published","department":[{"_id":"HeEd"}],"publisher":"Springer Nature","year":"2020","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 78818 Alpha and No 638176). It is also partially supported by the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, through grant no. I02979-N35 of the Austrian Science Fund (FWF).","month":"06","publication_identifier":{"issn":["21932808"],"isbn":["9783030434076"],"eissn":["21978549"]},"language":[{"iso":"eng"}],"doi":"10.1007/978-3-030-43408-3_8","quality_controlled":"1","project":[{"grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Alpha Shape Theory Extended"},{"name":"Efficient Simulation of Natural Phenomena at Extremely Large Scales","call_identifier":"H2020","_id":"2533E772-B435-11E9-9278-68D0E5697425","grant_number":"638176"},{"_id":"2561EBF4-B435-11E9-9278-68D0E5697425","grant_number":"I02979-N35","call_identifier":"FWF","name":"Persistence and stability of geometric complexes"}],"oa":1,"abstract":[{"text":"Discrete Morse theory has recently lead to new developments in the theory of random geometric complexes. This article surveys the methods and results obtained with this new approach, and discusses some of its shortcomings. It uses simulations to illustrate the results and to form conjectures, getting numerical estimates for combinatorial, topological, and geometric properties of weighted and unweighted Delaunay mosaics, their dual Voronoi tessellations, and the Alpha and Wrap complexes contained in the mosaics.","lang":"eng"}],"alternative_title":["Abel Symposia"],"type":"conference","file":[{"relation":"main_file","file_id":"8628","checksum":"7b5e0de10675d787a2ddb2091370b8d8","success":1,"date_created":"2020-10-08T08:56:14Z","date_updated":"2020-10-08T08:56:14Z","access_level":"open_access","file_name":"2020-B-01-PoissonExperimentalSurvey.pdf","file_size":2207071,"content_type":"application/pdf","creator":"dernst"}],"oa_version":"Submitted Version","ddc":["510"],"status":"public","title":"Radius functions on Poisson–Delaunay mosaics and related complexes experimentally","intvolume":" 15","_id":"8135","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"22","article_processing_charge":"No","has_accepted_license":"1","scopus_import":"1","date_published":"2020-06-22T00:00:00Z","page":"181-218","publication":"Topological Data Analysis","citation":{"chicago":"Edelsbrunner, Herbert, Anton Nikitenko, Katharina Ölsböck, and Peter Synak. “Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.” In Topological Data Analysis, 15:181–218. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-43408-3_8.","mla":"Edelsbrunner, Herbert, et al. “Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.” Topological Data Analysis, vol. 15, Springer Nature, 2020, pp. 181–218, doi:10.1007/978-3-030-43408-3_8.","short":"H. Edelsbrunner, A. Nikitenko, K. Ölsböck, P. Synak, in:, Topological Data Analysis, Springer Nature, 2020, pp. 181–218.","ista":"Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. 2020. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. Topological Data Analysis. , Abel Symposia, vol. 15, 181–218.","apa":"Edelsbrunner, H., Nikitenko, A., Ölsböck, K., & Synak, P. (2020). Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature. https://doi.org/10.1007/978-3-030-43408-3_8","ieee":"H. Edelsbrunner, A. Nikitenko, K. Ölsböck, and P. Synak, “Radius functions on Poisson–Delaunay mosaics and related complexes experimentally,” in Topological Data Analysis, 2020, vol. 15, pp. 181–218.","ama":"Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In: Topological Data Analysis. Vol 15. Springer Nature; 2020:181-218. doi:10.1007/978-3-030-43408-3_8"}},{"month":"07","publication_identifier":{"eissn":["15577368"],"issn":["07300301"]},"external_id":{"isi":["000583700300004"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1145/3386569.3392405"}],"oa":1,"isi":1,"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Efficient Simulation of Natural Phenomena at Extremely Large Scales","grant_number":"638176","_id":"2533E772-B435-11E9-9278-68D0E5697425"}],"doi":"10.1145/3386569.3392405","acknowledged_ssus":[{"_id":"ScienComp"}],"language":[{"iso":"eng"}],"article_number":"31","file_date_updated":"2020-11-23T09:03:19Z","ec_funded":1,"year":"2020","acknowledgement":"We wish to thank the anonymous reviewers and the members of the Visual Computing Group at IST Austria for their valuable feedback, especially Camille Schreck for her help in rendering. This research was supported by the Scientific Service Units (SSU) of IST Austria through resources provided by Scientific Computing. We would like to thank the authors of [Belcour and Barla 2017] for providing their implementation, the authors of [Atkins and Elliott 2010] and [Seychelles et al. 2008] for allowing us to use their results, and Rok Grah for helpful discussions. Finally, we thank Ryoichi Ando for many discussions from the beginning of the project that resulted in important contents of the paper including our formulation, numerical scheme, and initial implementation. This project has received funding from the\r\nEuropean Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 638176.","publication_status":"published","publisher":"Association for Computing Machinery","department":[{"_id":"ChWo"}],"author":[{"full_name":"Ishida, Sadashige","id":"6F7C4B96-A8E9-11E9-A7CA-09ECE5697425","first_name":"Sadashige","last_name":"Ishida"},{"full_name":"Synak, Peter","id":"331776E2-F248-11E8-B48F-1D18A9856A87","first_name":"Peter","last_name":"Synak"},{"full_name":"Narita, Fumiya","last_name":"Narita","first_name":"Fumiya"},{"full_name":"Hachisuka, Toshiya","last_name":"Hachisuka","first_name":"Toshiya"},{"orcid":"0000-0001-6646-5546","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87","last_name":"Wojtan","first_name":"Christopher J","full_name":"Wojtan, Christopher J"}],"date_updated":"2024-02-28T12:57:31Z","date_created":"2020-09-13T22:01:18Z","volume":39,"scopus_import":"1","day":"08","has_accepted_license":"1","article_processing_charge":"No","publication":"ACM Transactions on Graphics","citation":{"ista":"Ishida S, Synak P, Narita F, Hachisuka T, Wojtan C. 2020. A model for soap film dynamics with evolving thickness. ACM Transactions on Graphics. 39(4), 31.","ieee":"S. Ishida, P. Synak, F. Narita, T. Hachisuka, and C. Wojtan, “A model for soap film dynamics with evolving thickness,” ACM Transactions on Graphics, vol. 39, no. 4. Association for Computing Machinery, 2020.","apa":"Ishida, S., Synak, P., Narita, F., Hachisuka, T., & Wojtan, C. (2020). A model for soap film dynamics with evolving thickness. ACM Transactions on Graphics. Association for Computing Machinery. https://doi.org/10.1145/3386569.3392405","ama":"Ishida S, Synak P, Narita F, Hachisuka T, Wojtan C. A model for soap film dynamics with evolving thickness. ACM Transactions on Graphics. 2020;39(4). doi:10.1145/3386569.3392405","chicago":"Ishida, Sadashige, Peter Synak, Fumiya Narita, Toshiya Hachisuka, and Chris Wojtan. “A Model for Soap Film Dynamics with Evolving Thickness.” ACM Transactions on Graphics. Association for Computing Machinery, 2020. https://doi.org/10.1145/3386569.3392405.","mla":"Ishida, Sadashige, et al. “A Model for Soap Film Dynamics with Evolving Thickness.” ACM Transactions on Graphics, vol. 39, no. 4, 31, Association for Computing Machinery, 2020, doi:10.1145/3386569.3392405.","short":"S. Ishida, P. Synak, F. Narita, T. Hachisuka, C. Wojtan, ACM Transactions on Graphics 39 (2020)."},"article_type":"original","date_published":"2020-07-08T00:00:00Z","type":"journal_article","abstract":[{"text":"Previous research on animations of soap bubbles, films, and foams largely focuses on the motion and geometric shape of the bubble surface. These works neglect the evolution of the bubble’s thickness, which is normally responsible for visual phenomena like surface vortices, Newton’s interference patterns, capillary waves, and deformation-dependent rupturing of films in a foam. In this paper, we model these natural phenomena by introducing the film thickness as a reduced degree of freedom in the Navier-Stokes equations and deriving their equations of motion. We discretize the equations on a nonmanifold triangle mesh surface and couple it to an existing bubble solver. In doing so, we also introduce an incompressible fluid solver for 2.5D films and a novel advection algorithm for convecting fields across non-manifold surface junctions. Our simulations enhance state-of-the-art bubble solvers with additional effects caused by convection, rippling, draining, and evaporation of the thin film.","lang":"eng"}],"issue":"4","_id":"8384","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["000"],"title":"A model for soap film dynamics with evolving thickness","status":"public","intvolume":" 39","file":[{"file_name":"2020_soapfilm_submitted.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":14935529,"file_id":"8795","relation":"main_file","date_updated":"2020-11-23T09:03:19Z","date_created":"2020-11-23T09:03:19Z","success":1,"checksum":"813831ca91319d794d9748c276b24578"}],"oa_version":"Submitted Version"}]