{"day":"01","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."}],"author":[{"full_name":"Bremer, Peer-Timo","first_name":"Peer","last_name":"Bremer"},{"orcid":"0000-0002-9823-6833","full_name":"Herbert Edelsbrunner","first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Hamann","first_name":"Bernd","full_name":"Hamann, Bernd"},{"last_name":"Pascucci","full_name":"Pascucci, Valerio","first_name":"Valerio"}],"conference":{"name":"VIS: IEEE Visualization"},"quality_controlled":0,"publication_status":"published","title":"A multi-resolution data structure for two-dimensional Morse-Smale functions","_id":"3997","doi":"10.1109/VISUAL.2003.1250365","date_updated":"2021-01-12T07:53:45Z","date_published":"2003-08-01T00:00:00Z","page":"139 - 146","publisher":"IEEE","extern":1,"status":"public","month":"08","citation":{"ista":"Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2003. A multi-resolution data structure for two-dimensional Morse-Smale functions. VIS: IEEE Visualization, 139–146.","chicago":"Bremer, Peer, Herbert Edelsbrunner, Bernd Hamann, and Valerio Pascucci. “A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions,” 139–46. IEEE, 2003. <a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">https://doi.org/10.1109/VISUAL.2003.1250365</a>.","short":"P. Bremer, H. Edelsbrunner, B. Hamann, V. Pascucci, in:, IEEE, 2003, pp. 139–146.","apa":"Bremer, P., Edelsbrunner, H., Hamann, B., &#38; Pascucci, V. (2003). A multi-resolution data structure for two-dimensional Morse-Smale functions (pp. 139–146). Presented at the VIS: IEEE Visualization, IEEE. <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,” presented at the VIS: IEEE Visualization, 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: IEEE; 2003:139-146. doi:<a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">10.1109/VISUAL.2003.1250365</a>","mla":"Bremer, Peer, et al. <i>A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions</i>. IEEE, 2003, pp. 139–46, doi:<a href=\"https://doi.org/10.1109/VISUAL.2003.1250365\">10.1109/VISUAL.2003.1250365</a>."},"type":"conference","year":"2003","publist_id":"2131","date_created":"2018-12-11T12:06:21Z"}