[{"publist_id":"2131","abstract":[{"lang":"eng","text":"We combine topological and geometric methods to construct a multi-resolution data structure for functions over two-dimensional domains. Starting with the Morse-Smale complex, we construct a topological hierarchy by progressively canceling critical points in pairs. Concurrently, we create a geometric hierarchy by adapting the geometry to the changes in topology. The data structure supports mesh traversal operations similarly to traditional multi-resolution representations."}],"publication_identifier":{"isbn":["0780381203"]},"day":"01","doi":"10.1109/VISUAL.2003.1250365","type":"conference","date_published":"2003-08-01T00:00:00Z","year":"2003","citation":{"chicago":"Bremer, Peer, Herbert Edelsbrunner, Bernd Hamann, and Valerio Pascucci. “A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions.” In <i>Proceedings of the 14th IEEE Conference on Visualization </i>, 139–46. IEEE, 2003. <a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">https://doi.org/10.1109/VISUAL.2003.1250365</a>.","ieee":"P. Bremer, H. Edelsbrunner, B. Hamann, and V. Pascucci, “A multi-resolution data structure for two-dimensional Morse-Smale functions,” in <i>Proceedings of the 14th IEEE Conference on Visualization </i>, Seattle, WA, USA , 2003, pp. 139–146.","ama":"Bremer P, Edelsbrunner H, Hamann B, Pascucci V. A multi-resolution data structure for two-dimensional Morse-Smale functions. In: <i>Proceedings of the 14th IEEE Conference on Visualization </i>. IEEE; 2003:139-146. doi:<a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">10.1109/VISUAL.2003.1250365</a>","apa":"Bremer, P., Edelsbrunner, H., Hamann, B., &#38; Pascucci, V. (2003). A multi-resolution data structure for two-dimensional Morse-Smale functions. In <i>Proceedings of the 14th IEEE Conference on Visualization </i> (pp. 139–146). Seattle, WA, USA : IEEE. <a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">https://doi.org/10.1109/VISUAL.2003.1250365</a>","ista":"Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2003. A multi-resolution data structure for two-dimensional Morse-Smale functions. Proceedings of the 14th IEEE Conference on Visualization . VIS: IEEE Visualization, 139–146.","short":"P. Bremer, H. Edelsbrunner, B. Hamann, V. Pascucci, in:, Proceedings of the 14th IEEE Conference on Visualization , IEEE, 2003, pp. 139–146.","mla":"Bremer, Peer, et al. “A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions.” <i>Proceedings of the 14th IEEE Conference on Visualization </i>, IEEE, 2003, pp. 139–46, doi:<a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">10.1109/VISUAL.2003.1250365</a>."},"date_updated":"2024-02-27T11:12:50Z","status":"public","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","extern":"1","acknowledgement":"This work was performed under the auspices of the U. S. Department of Energy by University of California Lawrence Livermore National Laboratory under contract No. W-7405-Eng-48. H. Edelsbrunner is partially supported by the National Science Foundation (NFS) under grants EIA-99-72879 and CCR-00-86013. B. Hamann is supported by the NSF under contract ACI 9624034, through the LSSDSV program under contract ACI 9982251, and through the NPACI; the National Institute of Mental Health and the NSF under contract NIMH 2 P20 MH60975-06A2; the Lawrence Livermore National Laboratory under ASCI ASAP Level-2 Memorandum Agreement B347878 and under Memorandum Agreement B503159.","month":"08","title":"A multi-resolution data structure for two-dimensional Morse-Smale functions","article_processing_charge":"No","date_created":"2018-12-11T12:06:21Z","oa_version":"None","publication_status":"published","author":[{"last_name":"Bremer","first_name":"Peer","full_name":"Bremer, Peer"},{"first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Bernd","last_name":"Hamann","full_name":"Hamann, Bernd"},{"first_name":"Valerio","last_name":"Pascucci","full_name":"Pascucci, Valerio"}],"scopus_import":"1","_id":"3997","publication":"Proceedings of the 14th IEEE Conference on Visualization ","conference":{"end_date":"2003-10-24","location":"Seattle, WA, USA ","name":"VIS: IEEE Visualization","start_date":"2003-10-19"},"publisher":"IEEE","language":[{"iso":"eng"}],"quality_controlled":"1","page":"139 - 146"}]