{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T09:33:22Z","timestamp":1777628002151,"version":"3.51.4"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2011,11,16]],"date-time":"2011-11-16T00:00:00Z","timestamp":1321401600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2012,3]]},"DOI":"10.1007\/s00454-011-9382-4","type":"journal-article","created":{"date-parts":[[2011,11,16]],"date-time":"2011-11-16T12:27:54Z","timestamp":1321446474000},"page":"393-414","source":"Crossref","is-referenced-by-count":9,"title":["Dual Complexes of Cubical Subdivisions of \u211d n"],"prefix":"10.1007","volume":"47","author":[{"given":"Herbert","family":"Edelsbrunner","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael","family":"Kerber","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,11,16]]},"reference":[{"key":"9382_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02021-0","volume-title":"Topologie I","author":"P. Alexandroff","year":"1935","unstructured":"Alexandroff, P., Hopf, H.: Topologie I. Springer, Berlin (1935)"},{"key":"9382_CR2","doi-asserted-by":"crossref","first-page":"1251","DOI":"10.1109\/TVCG.2010.139","volume":"16","author":"P. Bendich","year":"2010","unstructured":"Bendich, P., Edelsbrunner, H., Kerber, M.: Computing robustness and persistence for images. IEEE Trans. Vis. Comput. Graph. 16, 1251\u20131260 (2010)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"9382_CR3","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/S0022-0000(05)80059-5","volume":"48","author":"M. Bern","year":"1994","unstructured":"Bern, M., Eppstein, D., Gilbert, J.: Provably good mesh generation. J. Comput. Syst. Sci. 48, 384\u2013409 (1994)","journal-title":"J. Comput. Syst. Sci."},{"key":"9382_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-77974-2","volume-title":"Computational Geometry. Algorithms and Applications","author":"M. Berg de","year":"2008","unstructured":"de Berg, M., Cheong, O., van Kreveld, M., Overmars, M.: Computational Geometry. Algorithms and Applications, 3rd edn. Springer, Berlin (2008)","edition":"3"},{"key":"9382_CR5","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/s00454-010-9303-y","volume":"46","author":"P. Dlotko","year":"2011","unstructured":"Dlotko, P., Kaczy\u0144ski, T., Mrozek, M., Wanner, T.: Coreduction homology algorithm for regular CW-complexes. Discrete Comput. Geom. 46, 361\u2013388 (2011)","journal-title":"Discrete Comput. Geom."},{"key":"9382_CR6","volume-title":"Computational Topology. An Introduction","author":"H. Edelsbrunner","year":"2010","unstructured":"Edelsbrunner, H., Harer, J.L.: Computational Topology. An Introduction. Am. Math. Soc., Providence (2010)"},{"key":"9382_CR7","doi-asserted-by":"crossref","first-page":"580","DOI":"10.2307\/1968813","volume":"43","author":"H. Freudenthal","year":"1942","unstructured":"Freudenthal, H.: Simplizialzerlegung von\u00a0beschr\u00e4nkter Flachheit. Ann. Math. 43, 580\u2013582 (1942)","journal-title":"Ann. Math."},{"key":"9382_CR8","doi-asserted-by":"crossref","first-page":"1670","DOI":"10.1111\/j.1467-8659.2009.01429.x","volume":"28","author":"R. Fuchs","year":"2009","unstructured":"Fuchs, R., Hauser, H.: Visualization of multi-variate scientific data. Comput. Graph. Forum 28, 1670\u20131690 (2009)","journal-title":"Comput. Graph. Forum"},{"key":"9382_CR9","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/MCG.2004.20","volume":"24","author":"C. Johnson","year":"2004","unstructured":"Johnson, C.: Top scientific visualization research problems. IEEE Comput. Graph. Appl. 24, 13\u201317 (2004)","journal-title":"IEEE Comput. Graph. Appl."},{"key":"9382_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/b97315","volume-title":"Computational Homology","author":"T. Kaczy\u0144ski","year":"2004","unstructured":"Kaczy\u0144ski, T., Mischaikow, K., Mrozek, M.: Computational Homology. Springer, New York (2004)"},{"key":"9382_CR11","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1147\/rd.45.0518","volume":"45","author":"H.W. Kuhn","year":"1960","unstructured":"Kuhn, H.W.: Some combinatorial lemmas in topology. IBM J. Res. Dev. 45, 518\u2013524 (1960)","journal-title":"IBM J. Res. Dev."},{"key":"9382_CR12","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1145\/218013.218078","volume-title":"Proc. 3rd ACM Symp. Solid Modeling Appl","author":"D. Moore","year":"1995","unstructured":"Moore, D.: The cost of balancing generalized quadtrees. In: Proc. 3rd ACM Symp. Solid Modeling Appl, pp. 305\u2013312 (1995)"},{"key":"9382_CR13","volume-title":"Elements of Algebraic Topology","author":"J.R. Munkres","year":"1984","unstructured":"Munkres, J.R.: Elements of Algebraic Topology. Perseus, Cambridge (1984)"},{"key":"9382_CR14","volume-title":"The Design and Analysis of Spatial Data Structures","author":"H. Samet","year":"1990","unstructured":"Samet, H.: The Design and Analysis of Spatial Data Structures. Addison-Wesley, Reading (1990)"},{"key":"9382_CR15","volume-title":"Image Processing, Analysis and Machine Vision","author":"M. Sonka","year":"1999","unstructured":"Sonka, M., Hlavac, V., Boyle, R.: Image Processing, Analysis and Machine Vision, 2nd edn. PWS, Pacific\u00a0Grove (1999)","edition":"2"},{"key":"9382_CR16","unstructured":"Stock, S.: High energy X-ray scattering quantification of bone strains. Talk at the First Workshop on \u201cBone Tissue: Hierarchical Simulations for Clinical Applications\u201d, Los Angeles (2010)"},{"key":"9382_CR17","volume-title":"Proc. 4th Workshop on Topology-based Methods in Data Analysis and Visualization","author":"H. Wagner","year":"2011","unstructured":"Wagner, H., Chen, C., Vu\u00e7ini, E.: Efficient computation of persistent homology for cubical data. In: Proc. 4th Workshop on Topology-based Methods in Data Analysis and Visualization (2011)"},{"key":"9382_CR18","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1111\/j.1467-8659.2009.01506.x","volume":"28","author":"K. Weiss","year":"2009","unstructured":"Weiss, K., De Floriani, L.: Diamond hierarchies of arbitrary dimension. Comput. Graph. Forum 28, 1289\u20131300 (2009)","journal-title":"Comput. Graph. Forum"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-011-9382-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-011-9382-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-011-9382-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T14:56:59Z","timestamp":1593269819000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-011-9382-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,11,16]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,3]]}},"alternative-id":["9382"],"URL":"https:\/\/doi.org\/10.1007\/s00454-011-9382-4","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,11,16]]}}}