{"abstract":[{"text":"We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and as- cending manifolds of all critical points. In the generic case, its 3-dimensional cells are shaped like crystals and are sepa- rated by quadrangular faces. In this paper, we give a combi- natorial algorithm for constructing such complexes for piece- wise linear data.","lang":"eng"}],"publist_id":"2829","date_updated":"2021-01-12T07:44:17Z","conference":{"name":"SCG: Symposium on Computational Geometry"},"author":[{"first_name":"Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","full_name":"Herbert Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Harer","first_name":"John","full_name":"Harer, John"},{"last_name":"Natarajan","first_name":"Vijay","full_name":"Natarajan, Vijay"},{"last_name":"Pascucci","first_name":"Valerio","full_name":"Pascucci, Valerio"}],"status":"public","date_created":"2018-12-11T12:03:57Z","publication_status":"published","doi":"10.1145/777792.777846","page":"361 - 370","type":"conference","_id":"3556","extern":1,"date_published":"2003-06-01T00:00:00Z","citation":{"short":"H. Edelsbrunner, J. Harer, V. Natarajan, V. Pascucci, in:, ACM, 2003, pp. 361–370.","mla":"Edelsbrunner, Herbert, et al. <i>Morse-Smale Complexes for Piecewise Linear 3-Manifolds</i>. ACM, 2003, pp. 361–70, doi:<a href=\"https://doi.org/10.1145/777792.777846\">10.1145/777792.777846</a>.","ama":"Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Morse-Smale complexes for piecewise linear 3-manifolds. In: ACM; 2003:361-370. doi:<a href=\"https://doi.org/10.1145/777792.777846\">10.1145/777792.777846</a>","ieee":"H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci, “Morse-Smale complexes for piecewise linear 3-manifolds,” presented at the SCG: Symposium on Computational Geometry, 2003, pp. 361–370.","chicago":"Edelsbrunner, Herbert, John Harer, Vijay Natarajan, and Valerio Pascucci. “Morse-Smale Complexes for Piecewise Linear 3-Manifolds,” 361–70. ACM, 2003. <a href=\"https://doi.org/10.1145/777792.777846\">https://doi.org/10.1145/777792.777846</a>.","ista":"Edelsbrunner H, Harer J, Natarajan V, Pascucci V. 2003. Morse-Smale complexes for piecewise linear 3-manifolds. SCG: Symposium on Computational Geometry, 361–370.","apa":"Edelsbrunner, H., Harer, J., Natarajan, V., &#38; Pascucci, V. (2003). Morse-Smale complexes for piecewise linear 3-manifolds (pp. 361–370). Presented at the SCG: Symposium on Computational Geometry, ACM. <a href=\"https://doi.org/10.1145/777792.777846\">https://doi.org/10.1145/777792.777846</a>"},"main_file_link":[{"open_access":"0","url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.9592"}],"quality_controlled":0,"title":"Morse-Smale complexes for piecewise linear 3-manifolds","publisher":"ACM","day":"01","year":"2003","month":"06"}