{"publisher":"Springer","scopus_import":"1","publication_status":"published","month":"09","issue":"3","title":"An acyclicity theorem for cell complexes in d dimension","_id":"4069","doi":"10.1007/BF02122779","publication_identifier":{"eissn":["1439-6912"],"issn":["0209-9683"]},"citation":{"apa":"Edelsbrunner, H. (1990). An acyclicity theorem for cell complexes in d dimension. Combinatorica. Springer. https://doi.org/10.1007/BF02122779","short":"H. Edelsbrunner, Combinatorica 10 (1990) 251–260.","mla":"Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” Combinatorica, vol. 10, no. 3, Springer, 1990, pp. 251–60, doi:10.1007/BF02122779.","ieee":"H. Edelsbrunner, “An acyclicity theorem for cell complexes in d dimension,” Combinatorica, vol. 10, no. 3. Springer, pp. 251–260, 1990.","chicago":"Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” Combinatorica. Springer, 1990. https://doi.org/10.1007/BF02122779.","ama":"Edelsbrunner H. An acyclicity theorem for cell complexes in d dimension. Combinatorica. 1990;10(3):251-260. doi:10.1007/BF02122779","ista":"Edelsbrunner H. 1990. An acyclicity theorem for cell complexes in d dimension. Combinatorica. 10(3), 251–260."},"type":"journal_article","oa_version":"None","date_created":"2018-12-11T12:06:45Z","publication":"Combinatorica","article_processing_charge":"No","date_published":"1990-09-01T00:00:00Z","year":"1990","author":[{"orcid":"0000-0002-9823-6833","first_name":"Herbert","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"2050","language":[{"iso":"eng"}],"page":"251 - 260","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","volume":10,"article_type":"original","status":"public","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."}],"intvolume":" 10","date_updated":"2022-02-21T11:08:30Z","quality_controlled":"1","day":"01","extern":"1","acknowledgement":"Research reported in this paper was supported by the National Science Foundation under grant CCR-8714565.","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF02122779"}]}