{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T07:11:31Z","timestamp":1719990691615},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,5,17]],"date-time":"2016-05-17T00:00:00Z","timestamp":1463443200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1007\/s00454-016-9789-z","type":"journal-article","created":{"date-parts":[[2016,5,17]],"date-time":"2016-05-17T11:04:44Z","timestamp":1463483084000},"page":"93-113","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Intrinsic Volumes of Random Cubical Complexes"],"prefix":"10.1007","volume":"56","author":[{"given":"Michael","family":"Werman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthew L.","family":"Wright","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,5,17]]},"reference":[{"key":"9789_CR1","volume-title":"Random Fields and Geometry","author":"RJ Adler","year":"2007","unstructured":"Adler, R.J., Taylor, J.E.: Random Fields and Geometry. Springer, New York (2007)"},{"key":"9789_CR2","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/BF01206313","volume":"92","author":"M Aizenman","year":"1983","unstructured":"Aizenman, M., Chayes, J.T., Chayes, L., Frhlich, J., Russo, L.: On a sharp transition from area law to a perimeter law in a system of random surfaces. Commun. Math. Phys. 92, 19\u201369 (1983)","journal-title":"Commun. Math. Phys."},{"key":"9789_CR3","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1016\/j.aim.2013.07.001","volume":"245","author":"Y Baryshnikov","year":"2013","unstructured":"Baryshnikov, Y., Ghrist, R., Wright, M.: Hadwiger\u2019s theorem for definable functions. Adv. Math. 245, 573\u2013586 (2013)","journal-title":"Adv. Math."},{"issue":"1","key":"9789_CR4","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s00454-011-9378-0","volume":"47","author":"D Cohen","year":"2012","unstructured":"Cohen, D., Costa, A., Farber, M., Kappeler, T.: Topology of random 2-complexes. Discrete Comput. Geom. 47(1), 117\u2013149 (2012)","journal-title":"Discrete Comput. Geom."},{"key":"9789_CR5","unstructured":"Curry, J., Ghrist, R., Robinson, M.: Euler calculus and its applications to signals and sensing. In: Proceedings of Symposia in Applied Mathematics. AMS, Boston (2012)"},{"issue":"5","key":"9789_CR6","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1109\/T-C.1971.223289","volume":"20","author":"SB Gray","year":"1971","unstructured":"Gray, S.B.: Local properties of binary images in two dimensions. IEEE Trans. Comput. 20(5), 551\u2013561 (1971)","journal-title":"IEEE Trans. Comput."},{"key":"9789_CR7","doi-asserted-by":"crossref","first-page":"1415","DOI":"10.1214\/EJP.v15-804","volume":"15","author":"GR Grimmett","year":"2010","unstructured":"Grimmett, G.R., Holroyd, A.E.: Plaquettes, spheres, and entanglement. Electron. J. Probab. 15, 1415\u20131428 (2010)","journal-title":"Electron. J. Probab."},{"issue":"4","key":"9789_CR8","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1016\/j.imavis.2006.07.019","volume":"25","author":"R Guderlei","year":"2007","unstructured":"Guderlei, R., Klenk, S., Mayer, J., Schmidt, V., Spodarev, E.: Algorithms for the computation of the Minkowski functionals of deterministic and random polyconvex sets. Image Vis. Comput. 25(4), 464\u2013474 (2007)","journal-title":"Image Vis. Comput."},{"issue":"3","key":"9789_CR9","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1007\/s00454-010-9319-3","volume":"45","author":"M Kahle","year":"2011","unstructured":"Kahle, M.: Random geometric complexes. Discrete Comput. Geom. 45(3), 553\u2013573 (2011)","journal-title":"Discrete Comput. Geom."},{"key":"9789_CR10","volume-title":"Topology of Random Simplicial Complexes: A Survey. AMS Contemporary Volumes in Mathematics","author":"M Kahle","year":"2014","unstructured":"Kahle, M.: Topology of Random Simplicial Complexes: A Survey. AMS Contemporary Volumes in Mathematics. AMS, Boston (2014)"},{"issue":"1","key":"9789_CR11","doi-asserted-by":"crossref","first-page":"343","DOI":"10.4310\/HHA.2013.v15.n1.a17","volume":"15","author":"M Kahle","year":"2013","unstructured":"Kahle, M., Meckes, E.: Limit theorems for Betti numbers of random simplicial complexes. Homol. Homot. Appl. 15(1), 343\u2013374 (2013)","journal-title":"Homol. Homot. Appl."},{"key":"9789_CR12","volume-title":"Introduction to Geometric Probability","author":"DA Klain","year":"1997","unstructured":"Klain, D.A., Rota, G.-C.: Introduction to Geometric Probability. Cambridge University Press, New York (1997)"},{"key":"9789_CR13","doi-asserted-by":"crossref","unstructured":"Li, X., Mendon\u00e7a, P.R.S, Bhotika, R.: Texture analysis using Minkowski functionals. In: Proceedings of SPIE Medical Imaging 2012: Image Processing, vol. 8314 (2012)","DOI":"10.1117\/12.912033"},{"key":"9789_CR14","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/s00493-006-0027-9","volume":"26","author":"N Linial","year":"2006","unstructured":"Linial, N., Meshulam, R.: Homological connectivity of random 2-complexes. Combinatorica 26, 475\u2013487 (2006)","journal-title":"Combinatorica"},{"issue":"3","key":"9789_CR15","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1002\/rsa.20238","volume":"34","author":"R Meshulam","year":"2000","unstructured":"Meshulam, R., Wallach, N.: Homological connectivity of random $$k$$ k -dimensional complexes. Random Struct. Algorithms 34(3), 408\u2013417 (2000)","journal-title":"Random Struct. Algorithms"},{"key":"9789_CR16","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.patrec.2014.07.001","volume":"49","author":"E Richardson","year":"2014","unstructured":"Richardson, E., Werman, M.: Efficient classification using the Euler characteristic. Pattern Recognit. Lett. 49, 99\u2013106 (2014)","journal-title":"Pattern Recognit. Lett."},{"key":"9789_CR17","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1214\/11-PS182","volume":"8","author":"N Ross","year":"2011","unstructured":"Ross, N.: Fundamentals of Stein\u2019s method. Probab. Surv. 8, 210\u2013293 (2011)","journal-title":"Probab. Surv."},{"key":"9789_CR18","doi-asserted-by":"crossref","unstructured":"Schladitz, K., Ohser, J., Nagel, W.: Measurement of intrinsic volumes of sets observed on lattices. In: 13th International Conference on Discrete Geometry for Computer Imagery, pp. 247\u2013258 (2006)","DOI":"10.1007\/11907350_21"},{"key":"9789_CR19","volume-title":"What is the Length of a Potato? Lecture Notes in Mathematics","author":"SH Schanuel","year":"1986","unstructured":"Schanuel, S.H.: What is the Length of a Potato? Lecture Notes in Mathematics. Springer, Berlin (1986)"},{"key":"9789_CR20","volume-title":"Stochastic and Integral Geometry","author":"R Schneider","year":"2009","unstructured":"Schneider, R., Weil, W.: Stochastic and Integral Geometry. Springer, Berlin (2009)"},{"issue":"2","key":"9789_CR21","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1007\/s10851-013-0469-9","volume":"49","author":"AM Svane","year":"2014","unstructured":"Svane, A.M.: Estimation of intrinsic volumes from digital grey-scale images. J. Math. Imaging Vis. 49(2), 352\u2013376 (2014)","journal-title":"J. Math. Imaging Vis."},{"key":"9789_CR22","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511525919","volume-title":"Tame Topology and O-Minimal Structures","author":"L Dries van den","year":"1998","unstructured":"van den Dries, L.: Tame Topology and O-Minimal Structures. Cambridge University Press, Cambridge (1998)"},{"issue":"1","key":"9789_CR23","doi-asserted-by":"crossref","first-page":"117","DOI":"10.12775\/TMNA.2015.007","volume":"45","author":"ML Wright","year":"2015","unstructured":"Wright, M.L.: Hadwiger integration of random fields. Topol. Methods Nonlinear Anal. 45(1), 117\u2013128 (2015)","journal-title":"Topol. Methods Nonlinear Anal."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-016-9789-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-016-9789-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-016-9789-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T19:50:43Z","timestamp":1559073043000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-016-9789-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,17]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,7]]}},"alternative-id":["9789"],"URL":"https:\/\/doi.org\/10.1007\/s00454-016-9789-z","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,5,17]]}}}