{"quality_controlled":"1","year":"1989","oa_version":"None","date_published":"1989-06-01T00:00:00Z","extern":"1","author":[{"first_name":"Herbert","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833"}],"abstract":[{"lang":"eng","text":"Let C be a cell complex in d-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope in d + 1 dimensions. For example, the Delaunay triangulation of a finite point set is such a cell complex. This paper shows that the in_front/behind relation defined for the faces of C with respect to any fixed viewpoint x is acyclic. This result has applications to hidden line/surface removal and other problems in computational geometry."}],"citation":{"short":"H. Edelsbrunner, in:, Proceedings of the 5th Annual Symposium on Computational Geometry, ACM, 1989, pp. 145–151.","mla":"Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” <i>Proceedings of the 5th Annual Symposium on Computational Geometry</i>, ACM, 1989, pp. 145–51, doi:<a href=\"https://doi.org/10.1145/73833.73850\">10.1145/73833.73850</a>.","ama":"Edelsbrunner H. An acyclicity theorem for cell complexes in d dimension. In: <i>Proceedings of the 5th Annual Symposium on Computational Geometry</i>. ACM; 1989:145-151. doi:<a href=\"https://doi.org/10.1145/73833.73850\">10.1145/73833.73850</a>","ista":"Edelsbrunner H. 1989. An acyclicity theorem for cell complexes in d dimension. Proceedings of the 5th annual symposium on Computational geometry. SCG: Symposium on Computational Geometry, 145–151.","ieee":"H. Edelsbrunner, “An acyclicity theorem for cell complexes in d dimension,” in <i>Proceedings of the 5th annual symposium on Computational geometry</i>, Saarbruchen, Germany, 1989, pp. 145–151.","chicago":"Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” In <i>Proceedings of the 5th Annual Symposium on Computational Geometry</i>, 145–51. ACM, 1989. <a href=\"https://doi.org/10.1145/73833.73850\">https://doi.org/10.1145/73833.73850</a>.","apa":"Edelsbrunner, H. (1989). An acyclicity theorem for cell complexes in d dimension. In <i>Proceedings of the 5th annual symposium on Computational geometry</i> (pp. 145–151). Saarbruchen, Germany: ACM. <a href=\"https://doi.org/10.1145/73833.73850\">https://doi.org/10.1145/73833.73850</a>"},"publist_id":"2033","_id":"4085","publication_identifier":{"isbn":["978-0-89791-318-8"]},"language":[{"iso":"eng"}],"type":"conference","conference":{"name":"SCG: Symposium on Computational Geometry","location":"Saarbruchen, Germany","start_date":"1989-06-05","end_date":"1989-06-07"},"scopus_import":"1","date_created":"2018-12-11T12:06:51Z","publisher":"ACM","title":"An acyclicity theorem for cell complexes in d dimension","date_updated":"2022-02-10T10:56:49Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","month":"06","publication":"Proceedings of the 5th annual symposium on Computational geometry","publication_status":"published","day":"01","main_file_link":[{"url":"https://dl.acm.org/doi/10.1145/73833.73850"}],"status":"public","doi":"10.1145/73833.73850","page":"145 - 151","article_processing_charge":"No"}