{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:23:54Z","timestamp":1740122634189,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,1,6]],"date-time":"2022-01-06T00:00:00Z","timestamp":1641427200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,6]],"date-time":"2022-01-06T00:00:00Z","timestamp":1641427200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004837","name":"micinn","doi-asserted-by":"crossref","award":["PID2019-107339GB-100"],"award-info":[{"award-number":["PID2019-107339GB-100"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2022,2]]},"DOI":"10.1007\/s10851-021-01058-8","type":"journal-article","created":{"date-parts":[[2022,1,6]],"date-time":"2022-01-06T00:05:58Z","timestamp":1641427558000},"page":"131-150","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Continuous Well-Composedness Implies Digital Well-Composedness in n-D"],"prefix":"10.1007","volume":"64","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6278-4638","authenticated-orcid":false,"given":"Nicolas","family":"Boutry","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rocio","family":"Gonzalez-Diaz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurent","family":"Najman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thierry","family":"G\u00e9raud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,1,6]]},"reference":[{"key":"1058_CR1","unstructured":"Alexandrov, P.S.: Combinatorial topology, volume 1-3. Graylock (1956)"},{"key":"1058_CR2","unstructured":"Boutry, N.: A study of well-composedness in $$n$$-D. PhD thesis, Universit\u00e9 Paris-Est, France (2016)"},{"key":"1058_CR3","doi-asserted-by":"crossref","unstructured":"Boutry, N., G\u00e9raud, T., Najman, L.: How to make $$n$$-D functions digitally well-composed in a self-dual way. In: Benediktsson, J.A., Chanussot, J., Najman, L., Talbot, H. (eds), Proceedings of the International Symposium on Mathematical Morphology (ISMM), volume 9082 of Lecture Notes in Computer Science, pp. 561\u2013572, Reykjavik, Iceland. Springer (2015)","DOI":"10.1007\/978-3-319-18720-4_47"},{"key":"1058_CR4","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/s10851-017-0769-6","volume":"60","author":"N Boutry","year":"2017","unstructured":"Boutry, N., G\u00e9raud, T., Najman, L.: A tutorial on well-composedness. J. Math. Imaging Vis. 60, 443\u2013478 (2017)","journal-title":"J. Math. Imaging Vis."},{"key":"1058_CR5","doi-asserted-by":"crossref","unstructured":"Boutry, N., Gonzalez-Diaz, R., Jimenez, M.-J.: One more step towards well-composedness of cell complexes over $$n$$-D pictures. In: Discrete Geometry for Computer Imagery, volume 11414, pp. 101\u2013114. Springer (2019)","DOI":"10.1007\/978-3-030-14085-4_9"},{"key":"1058_CR6","doi-asserted-by":"crossref","unstructured":"Boutry, N., Gonzalez-Diaz, R., Jimenez, M.-J., Paluzo-Hildago, E.: Euler well-composedness. In: International Workshop on Combinatorial Image Analysis, volume 12148, pp. 3\u201319. Springer Nature (2020)","DOI":"10.1007\/978-3-030-51002-2_1"},{"key":"1058_CR7","doi-asserted-by":"crossref","unstructured":"Boutry, N., Gonzalez-Diaz, R., Najman, L., G\u00e9raud, T.: A 4D counter-example showing that dwcness does not imply cwcness in $$n$$-D. In: International Workshop on Combinatorial Image Analysis, volume 12148 of Lecture Notes in Computer Science, pp. 73\u201387 (2020)","DOI":"10.1007\/978-3-030-51002-2_6"},{"key":"1058_CR8","unstructured":"Boutry, N., Najman, L., G\u00e9raud, T.: About the equivalence between AWCness and DWCness. Research report, LIGM - Laboratoire d\u2019Informatique Gaspard-Monge ; LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l\u2019EPITA, (October 2016)"},{"key":"1058_CR9","doi-asserted-by":"crossref","unstructured":"Boutry, N., Najman, L., G\u00e9raud, T.: Well-composedness in Alexandrov spaces implies digital well-composedness in $$\\mathbb{Z}^n$$. In: Discrete Geometry for Computer Imagery, volume 10502 of Lecture Notes in Computer Science, pp. 225\u2013237. Springer (2017)","DOI":"10.1007\/978-3-319-66272-5_19"},{"issue":"12","key":"1058_CR10","doi-asserted-by":"publisher","first-page":"5330","DOI":"10.1109\/TIP.2015.2480599","volume":"24","author":"E Carlinet","year":"2015","unstructured":"Carlinet, E., G\u00e9raud, T.: MToS: a tree of shapes for multivariate images. IEEE Trans. Image Process. 24(12), 5330\u20135342 (2015)","journal-title":"IEEE Trans. Image Process."},{"key":"1058_CR11","doi-asserted-by":"crossref","unstructured":"Caselles, V., Monasse, P.: Geometric description of images as topographic maps. Lecture Notes in Computer Science, 1984, (2009)","DOI":"10.1007\/978-3-642-04611-7"},{"key":"1058_CR12","doi-asserted-by":"crossref","unstructured":"G\u00e9raud, T., Carlinet, E., Crozet, S., Najman, L.: A quasi-linear algorithm to compute the tree of shapes of $$n$$-D images. In: Proceedings of the International Symposium on Mathematical Morphology (ISMM), volume 7883 of Lecture Notes in Computer Science, pp. 98\u2013110. Springer (2013)","DOI":"10.1007\/978-3-642-38294-9_9"},{"key":"1058_CR13","volume-title":"Computational Homology","author":"T Kaczynski","year":"2006","unstructured":"Kaczynski, T., Mischaikow, K., Mrozek, M.: Computational Homology, vol. 157. Springer Science & Business Media, Berlin (2006)"},{"key":"1058_CR14","volume-title":"General Topology","author":"J\u00a0L Kelley","year":"2017","unstructured":"Kelley, J.\u00a0L.: General Topology. Courier Dover Publications, New York (2017)"},{"issue":"3","key":"1058_CR15","first-page":"347","volume":"138","author":"A\u00c8 Kharlap","year":"1975","unstructured":"Kharlap, A.\u00c8.: Local homology and cohomology, homology dimension and generalized manifolds. Matematicheskii Sbornik 138(3), 347\u2013373 (1975)","journal-title":"Matematicheskii Sbornik"},{"issue":"3","key":"1058_CR16","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1006\/gmip.1997.0422","volume":"59","author":"LJ Latecki","year":"1997","unstructured":"Latecki, L.J.: 3D well-composed pictures. Graph. Models Image Process. 59(3), 164\u2013172 (1997)","journal-title":"Graph. Models Image Process."},{"key":"1058_CR17","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/S1076-5670(00)80028-2","volume":"112","author":"LJ Latecki","year":"2000","unstructured":"Latecki, L.J.: Well-composed sets. Adv. Imaging Electron Phys. 112, 95\u2013163 (2000)","journal-title":"Adv. Imaging Electron Phys."},{"key":"1058_CR18","volume-title":"Introduction to Topological Manifolds","author":"J Lee","year":"2010","unstructured":"Lee, J.: Introduction to Topological Manifolds, vol. 202. Springer Science & Business Media, Berlin (2010)"},{"key":"1058_CR19","volume-title":"Elements of Algebraic Topology","author":"RM James","year":"2018","unstructured":"James, R.M.: Elements of Algebraic Topology. CRC Press, Boca Raton (2018)"},{"key":"1058_CR20","doi-asserted-by":"crossref","unstructured":"Najman, L., G\u00e9raud, T.: Discrete set-valued continuity and interpolation. In: Proceedings of the International Symposium on Mathematical Morphology (ISMM), volume 7883 of Lecture Notes in Computer Science, pp. 37\u201348. Springer (2013)","DOI":"10.1007\/978-3-642-38294-9_4"},{"key":"1058_CR21","unstructured":"Ranicki, A.A., Casson, A., Sullivan, D., Armstrong, M., Rourke, C., Cooke, G.: The hauptvermutung book. Collection of papers by Casson, Sullivan, Armstrong, Cooke, Rourke and Ranicki, K-Monographs in Mathematics, 1, (1996)"},{"issue":"4","key":"1058_CR22","first-page":"831","volume":"35","author":"EG Sklyarenko","year":"1971","unstructured":"Sklyarenko, E.G.: On the theory of generalized manifolds. Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 35(4), 831\u2013843 (1971)","journal-title":"Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya"},{"issue":"3","key":"1058_CR23","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1006\/cviu.1997.0551","volume":"68","author":"Y Wang","year":"1997","unstructured":"Wang, Y., Bhattacharya, P.: Digital connectivity and extended well-composed sets for gray images. Comput. Vis. Image Understand. 68(3), 330\u2013345 (1997)","journal-title":"Comput. Vis. Image Understand."}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-021-01058-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10851-021-01058-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-021-01058-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,12]],"date-time":"2022-02-12T09:08:39Z","timestamp":1644656919000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10851-021-01058-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,6]]},"references-count":23,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["1058"],"URL":"https:\/\/doi.org\/10.1007\/s10851-021-01058-8","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"type":"print","value":"0924-9907"},{"type":"electronic","value":"1573-7683"}],"subject":[],"published":{"date-parts":[[2022,1,6]]},"assertion":[{"value":"22 July 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 November 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 January 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}