{"publication_status":"published","_id":"3974","page":"242 - 250","year":"2008","publisher":"ACM","date_published":"2008-01-01T00:00:00Z","publist_id":"2155","type":"conference","abstract":[{"lang":"eng","text":"Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of a point in the range. We study the local and global structure of this space for generic, piecewise linear mappings on a combinatorial manifold."}],"author":[{"first_name":"Herbert","full_name":"Herbert Edelsbrunner","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Harer, John","last_name":"Harer","first_name":"John"},{"id":"34A254A0-F248-11E8-B48F-1D18A9856A87","first_name":"Amit","last_name":"Patel","full_name":"Amit Patel"}],"status":"public","title":"Reeb spaces of piecewise linear mappings","date_updated":"2021-01-12T07:53:35Z","month":"01","doi":"10.1145/1377676.1377720","quality_controlled":0,"day":"01","conference":{"name":"SCG: Symposium on Computational Geometry"},"citation":{"ama":"Edelsbrunner H, Harer J, Patel A. Reeb spaces of piecewise linear mappings. In: ACM; 2008:242-250. doi:<a href=\"https://doi.org/10.1145/1377676.1377720\">10.1145/1377676.1377720</a>","ieee":"H. Edelsbrunner, J. Harer, and A. Patel, “Reeb spaces of piecewise linear mappings,” presented at the SCG: Symposium on Computational Geometry, 2008, pp. 242–250.","apa":"Edelsbrunner, H., Harer, J., &#38; Patel, A. (2008). Reeb spaces of piecewise linear mappings (pp. 242–250). Presented at the SCG: Symposium on Computational Geometry, ACM. <a href=\"https://doi.org/10.1145/1377676.1377720\">https://doi.org/10.1145/1377676.1377720</a>","short":"H. Edelsbrunner, J. Harer, A. Patel, in:, ACM, 2008, pp. 242–250.","mla":"Edelsbrunner, Herbert, et al. <i>Reeb Spaces of Piecewise Linear Mappings</i>. ACM, 2008, pp. 242–50, doi:<a href=\"https://doi.org/10.1145/1377676.1377720\">10.1145/1377676.1377720</a>.","ista":"Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings. SCG: Symposium on Computational Geometry, 242–250.","chicago":"Edelsbrunner, Herbert, John Harer, and Amit Patel. “Reeb Spaces of Piecewise Linear Mappings,” 242–50. ACM, 2008. <a href=\"https://doi.org/10.1145/1377676.1377720\">https://doi.org/10.1145/1377676.1377720</a>."},"extern":1,"date_created":"2018-12-11T12:06:13Z"}