[{"publisher":"Association for Computing Machinery","date_published":"2008-06-09T00:00:00Z","abstract":[{"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.","lang":"eng"}],"year":"2008","extern":"1","month":"06","date_updated":"2026-05-29T09:01:13Z","conference":{"location":"College Park, MD, United States","end_date":"2008-06-11","name":"SCG: Symposium on Computational Geometry","start_date":"2008-06-09"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"None","publication_status":"published","article_processing_charge":"No","date_created":"2018-12-11T12:06:13Z","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","first_name":"Herbert","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner"},{"full_name":"Harer, John","first_name":"John","last_name":"Harer"},{"id":"34A254A0-F248-11E8-B48F-1D18A9856A87","full_name":"Patel, Amit","first_name":"Amit","last_name":"Patel"}],"language":[{"iso":"eng"}],"citation":{"chicago":"Edelsbrunner, Herbert, John Harer, and Amit Patel. “Reeb Spaces of Piecewise Linear Mappings.” In <i>Proceedings of the Twenty-Fourth Annual Symposium on Computational Geometry</i>, 242–50. Association for Computing Machinery, 2008. <a href=\"https://doi.org/10.1145/1377676.1377720\">https://doi.org/10.1145/1377676.1377720</a>.","ieee":"H. Edelsbrunner, J. Harer, and A. Patel, “Reeb spaces of piecewise linear mappings,” in <i>Proceedings of the twenty-fourth annual symposium on Computational geometry</i>, College Park, MD, United States, 2008, pp. 242–250.","ista":"Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings. Proceedings of the twenty-fourth annual symposium on Computational geometry. SCG: Symposium on Computational Geometry, 242–250.","apa":"Edelsbrunner, H., Harer, J., &#38; Patel, A. (2008). Reeb spaces of piecewise linear mappings. In <i>Proceedings of the twenty-fourth annual symposium on Computational geometry</i> (pp. 242–250). College Park, MD, United States: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/1377676.1377720\">https://doi.org/10.1145/1377676.1377720</a>","ama":"Edelsbrunner H, Harer J, Patel A. Reeb spaces of piecewise linear mappings. In: <i>Proceedings of the Twenty-Fourth Annual Symposium on Computational Geometry</i>. Association for Computing Machinery; 2008:242-250. doi:<a href=\"https://doi.org/10.1145/1377676.1377720\">10.1145/1377676.1377720</a>","mla":"Edelsbrunner, Herbert, et al. “Reeb Spaces of Piecewise Linear Mappings.” <i>Proceedings of the Twenty-Fourth Annual Symposium on Computational Geometry</i>, Association for Computing Machinery, 2008, pp. 242–50, doi:<a href=\"https://doi.org/10.1145/1377676.1377720\">10.1145/1377676.1377720</a>.","short":"H. Edelsbrunner, J. Harer, A. Patel, in:, Proceedings of the Twenty-Fourth Annual Symposium on Computational Geometry, Association for Computing Machinery, 2008, pp. 242–250."},"type":"conference","publication_identifier":{"isbn":["9781605580715"]},"doi":"10.1145/1377676.1377720","status":"public","day":"09","_id":"3974","page":"242 - 250","publist_id":"2155","title":"Reeb spaces of piecewise linear mappings","publication":"Proceedings of the twenty-fourth annual symposium on Computational geometry"}]