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