{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T23:07:13Z","timestamp":1761952033209,"version":"build-2065373602"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783032095435"},{"type":"electronic","value":"9783032095442"}],"license":[{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026]]},"DOI":"10.1007\/978-3-032-09544-2_24","type":"book-chapter","created":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T17:23:42Z","timestamp":1761931422000},"page":"328-340","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Waterfall-Borvka-Based Algorithm for\u00a0Binary Partition Tree"],"prefix":"10.1007","author":[{"given":"Quentin","family":"Lebon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean","family":"Cousty","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thierry","family":"Grandpierre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benjamin","family":"Perret","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,11,1]]},"reference":[{"key":"24_CR1","doi-asserted-by":"crossref","unstructured":"Anderson, R.J., Woll, H.: Wait-free parallel algorithms for the union-find problem. In: ACM symposium on Theory of computing, pp. 370\u2013380 (1991)","DOI":"10.1145\/103418.103458"},{"key":"24_CR2","doi-asserted-by":"crossref","unstructured":"Beucher, S.: Watershed, hierarchical segmentation and waterfall algorithm. In: ISMM, p. 69\u201376 (1994)","DOI":"10.1007\/978-94-011-1040-2_10"},{"issue":"12","key":"24_CR3","first-page":"3520","volume":"33","author":"N Blin","year":"2022","unstructured":"Blin, N., Carlinet, E., Lemaitre, F., Lacassagne, L., G\u00e9raud, T.: Max-tree computation on gpus. IEEE TPDS 33(12), 3520\u20133531 (2022)","journal-title":"Max-tree computation on gpus. IEEE TPDS"},{"key":"24_CR4","unstructured":"Borvka, O.: O jist\u00e9m probl\u00e9mu minim\u00e1ln\u00ed\u00adm. Pr\u00e1ce Moravsk\u00e9 P\u00ed\u00adrodovdeck\u00e9 Spolenosti 3, 37\u201358 (1926)"},{"key":"24_CR5","unstructured":"Chierchia, G., Perret, B.: . NeurIPS 32 (2019)"},{"issue":"5","key":"24_CR6","doi-asserted-by":"publisher","first-page":"925","DOI":"10.1109\/TPAMI.2009.71","volume":"32","author":"J Cousty","year":"2010","unstructured":"Cousty, J., Bertrand, G., Najman, L., Couprie, M.: Watershed cuts: Thinnings, shortest path forests, and topological watersheds. TPAMI 32(5), 925\u2013939 (2010)","journal-title":"TPAMI"},{"issue":"8","key":"24_CR7","doi-asserted-by":"publisher","first-page":"1362","DOI":"10.1109\/TPAMI.2008.173","volume":"31","author":"J Cousty","year":"2008","unstructured":"Cousty, J., Bertrand, G., Najman, L., Couprie, M.: Watershed cuts: minimum spanning forests and the drop of water principle. TPAMI 31(8), 1362\u20131374 (2008)","journal-title":"TPAMI"},{"key":"24_CR8","doi-asserted-by":"crossref","unstructured":"Cousty, J., Najman, L.: Incremental algorithm for hierarchical minimum spanning forests and saliency of watershed cuts. In: ISMM, pp. 272\u2013283 (2011)","DOI":"10.1007\/978-3-642-21569-8_24"},{"issue":"4","key":"24_CR9","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/s10851-017-0768-7","volume":"60","author":"J Cousty","year":"2018","unstructured":"Cousty, J., Najman, L., Kenmochi, Y., Guimar\u00e3es, S.: Hierarchical segmentations with graphs: quasi-flat zones, minimum spanning trees, and saliency maps. JMIV 60(4), 479\u2013502 (2018)","journal-title":"JMIV"},{"key":"24_CR10","doi-asserted-by":"crossref","unstructured":"Cousty, J., Najman, L., Perret, B.: Constructive links between some morphological hierarchies on edge-weighted graphs. In: ISMM, pp. 86\u201397 (2013)","DOI":"10.1007\/978-3-642-38294-9_8"},{"key":"24_CR11","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1007\/s11554-016-0604-0","volume":"16","author":"J Havel","year":"2019","unstructured":"Havel, J., Merciol, F., Lef\u00e8vre, S.: Efficient tree construction for multiscale image representation and processing. J. Real-Time Image Proc. 16, 1129\u20131146 (2019)","journal-title":"J. Real-Time Image Proc."},{"issue":"02","key":"24_CR12","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1142\/S0129626411000187","volume":"21","author":"D Merrill","year":"2011","unstructured":"Merrill, D., Grimshaw, A.: High performance and scalable radix sorting: a case study of implementing dynamic parallelism for GPU computing. Parallel Proc. Lett. 21(02), 245\u2013272 (2011)","journal-title":"Parallel Proc. Lett."},{"key":"24_CR13","doi-asserted-by":"crossref","unstructured":"Meyer, F.: The dynamics of minima and contours. ISMM pp. 329\u2013336 (1996)","DOI":"10.1007\/978-1-4613-0469-2_38"},{"key":"24_CR14","doi-asserted-by":"crossref","unstructured":"Meyer, F.: The waterfall hierarchy on weighted graphs. In: ISMM, pp. 325\u2013336 (2015)","DOI":"10.1007\/978-3-319-18720-4_28"},{"key":"24_CR15","doi-asserted-by":"crossref","unstructured":"Meyer, F., Maragos, P.: Morphological scale-space representation with levelings. In: International Conference on Scale-Space Theories in Computer Vision, pp. 187\u2013198 (1999)","DOI":"10.1007\/3-540-48236-9_17"},{"key":"24_CR16","doi-asserted-by":"crossref","unstructured":"Najman, L., Cousty, J., Perret, B.: Playing with kruskal: algorithms for morphological trees in edge-weighted graphs. In: ISMM, pp. 135\u2013146 (2013)","DOI":"10.1007\/978-3-642-38294-9_12"},{"issue":"1\u20133","key":"24_CR17","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0012-365X(00)00224-7","volume":"233","author":"J Ne\u0161et\u0159il","year":"2001","unstructured":"Ne\u0161et\u0159il, J., Milkov\u00e1, E., Ne\u0161et\u0159ilov\u00e1, H.: Otakar borvka on minimum spanning tree problem translation of both the 1926 papers, comments, history. Discret. Math. 233(1\u20133), 3\u201336 (2001)","journal-title":"Discret. Math."},{"key":"24_CR18","unstructured":"Ouzounis, G.K., et\u00a0al.: The alpha-tree algorithm. JRC Scientific and Policy Report (2012)"},{"key":"24_CR19","first-page":"433","volume":"128","author":"B Perret","year":"2019","unstructured":"Perret, B., Cousty, J., Guimar\u00e3es, S.J.F., Kenmochi, Y., Najman, L.: Removing non-significant regions in hierarchical clustering and segmentation. PRL 128, 433\u2013439 (2019)","journal-title":"PRL"},{"key":"24_CR20","doi-asserted-by":"crossref","unstructured":"Santana\u00a0Maia, D., de\u00a0Albuquerque\u00a0Araujo, A., Cousty, J., Najman, L., Perret, B., Talbot, H.: Evaluation of combinations of watershed hierarchies. In: ISMM, pp. 133\u2013145 (2017)","DOI":"10.1007\/978-3-319-57240-6_11"},{"key":"24_CR21","doi-asserted-by":"crossref","unstructured":"Sao, P., Prokopenko, A., Lebrun-Grandie, D.: Pandora: a parallel dendrogram construction algorithm for single linkage clustering on GPU. In: ICPP, p. 908\u2013918. ACM (2024)","DOI":"10.1145\/3673038.3673148"}],"container-title":["Lecture Notes in Computer Science","Discrete Geometry and Mathematical Morphology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-09544-2_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T23:02:37Z","timestamp":1761951757000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-09544-2_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,1]]},"ISBN":["9783032095435","9783032095442"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-09544-2_24","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2025,11,1]]},"assertion":[{"value":"1 November 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"DGMM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Discrete Geometry and Mathematical Morphology","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Groningen","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 November 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6 November 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"dgmm2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/research.rug.nl\/en\/activities\/discrete-geometry-and-mathematical-morphology-2025","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}