{"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","month":"06","year":"1989","article_processing_charge":"No","publication_identifier":{"isbn":["978-0-89791-318-8"]},"publisher":"ACM","day":"01","title":"An acyclicity theorem for cell complexes in d dimension","quality_controlled":"1","main_file_link":[{"url":"https://dl.acm.org/doi/10.1145/73833.73850"}],"date_published":"1989-06-01T00:00:00Z","extern":"1","citation":{"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>","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.","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>.","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.","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>","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>.","short":"H. Edelsbrunner, in:, Proceedings of the 5th Annual Symposium on Computational Geometry, ACM, 1989, pp. 145–151."},"scopus_import":"1","_id":"4085","doi":"10.1145/73833.73850","type":"conference","page":"145 - 151","publication_status":"published","publication":"Proceedings of the 5th annual symposium on Computational geometry","language":[{"iso":"eng"}],"status":"public","date_created":"2018-12-11T12:06:51Z","conference":{"end_date":"1989-06-07","name":"SCG: Symposium on Computational Geometry","start_date":"1989-06-05","location":"Saarbruchen, Germany"},"author":[{"last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"}],"oa_version":"None","abstract":[{"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.","lang":"eng"}],"date_updated":"2022-02-10T10:56:49Z","publist_id":"2033"}