{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T04:15:23Z","timestamp":1747282523996,"version":"3.40.5"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030766566"},{"type":"electronic","value":"9783030766573"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"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":[[2021]]},"DOI":"10.1007\/978-3-030-76657-3_36","type":"book-chapter","created":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T20:02:23Z","timestamp":1621108943000},"page":"499-511","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Eigenfunctions of Ultrametric Morphological Openings and Closings"],"prefix":"10.1007","author":[{"given":"Jes\u00fas","family":"Angulo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,16]]},"reference":[{"key":"36_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/bs.aiep.2017.07.003","volume":"203","author":"J Angulo","year":"2017","unstructured":"Angulo, J.: Convolution in (max, min)-Algebra and Its Role in Mathematical Morphology. Adv. Imaging Electron Phys. 203, 1\u201366 (2017)","journal-title":"Adv. Imaging Electron Phys."},{"key":"36_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1007\/978-3-319-57240-6_3","volume-title":"Mathematical Morphology and Its Applications to Signal and Image Processing","author":"J Angulo","year":"2017","unstructured":"Angulo, J., Velasco-Forero, S.: Morphological semigroups and scale-spaces on ultrametric spaces. In: Angulo, J., Velasco-Forero, S., Meyer, F. (eds.) ISMM 2017. LNCS, vol. 10225, pp. 28\u201339. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-57240-6_3"},{"key":"36_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/978-3-030-20867-7_3","volume-title":"Mathematical Morphology and Its Applications to Signal and Image Processing","author":"J Angulo","year":"2019","unstructured":"Angulo, J., Velasco-Forero, S.: Hierarchical Laplacian and its spectrum in ultrametric image processing. In: Burgeth, B., Kleefeld, A., Naegel, B., Passat, N., Perret, B. (eds.) ISMM 2019. LNCS, vol. 11564, pp. 29\u201340. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-20867-7_3"},{"key":"36_CR4","volume-title":"La th\u00e9orie des graphes et ses applications","author":"C Berge","year":"1958","unstructured":"Berge, C.: La th\u00e9orie des graphes et ses applications. Dunod (Libraire), Paris (1958)"},{"key":"36_CR5","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/0024-3795(92)90302-Q","volume":"175","author":"K Cechl\u00e1rov\u00e1","year":"1992","unstructured":"Cechl\u00e1rov\u00e1, K.: Eigenvectors in bottleneck algebra. Linear Algebra Appl. 175, 63\u201373 (1992)","journal-title":"Linear Algebra Appl."},{"key":"36_CR6","first-page":"73","volume":"12","author":"K Cechl\u00e1rov\u00e1","year":"1997","unstructured":"Cechl\u00e1rov\u00e1, K.: Efficient Computation of the Greatest Eigenvector in Fuzzy Algebra. Tatra Mt. Math. Publ. 12, 73\u201379 (1997)","journal-title":"Tatra Mt. Math. Publ."},{"key":"36_CR7","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0024-3795(01)00488-8","volume":"345","author":"M Gavalec","year":"2002","unstructured":"Gavalec, M.: Monotone Eigenspace Structure in Max-Min Algebra. Linear Algebra Appl. 345, 149\u2013167 (2002)","journal-title":"Linear Algebra Appl."},{"key":"36_CR8","doi-asserted-by":"crossref","unstructured":"Gondran, M.: Valeurs Propres et Vecteurs Propres en Classification Hi\u00e9rarchique, R.A.I.R.O. Informatique Th\u00e9orique 10(3), 39\u201346 (1976)","DOI":"10.1051\/ita\/197610R100391"},{"key":"36_CR9","first-page":"147","volume":"19","author":"M Gondran","year":"1984","unstructured":"Gondran, M., Minoux, M.: Linear Algebra in Dio\u00efds. A Survey of Recent Results. Ann. Discrete Math. 19, 147\u2013164 (1984)","journal-title":"Ann. Discrete Math."},{"key":"36_CR10","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/S0024-3795(98)10039-3","volume":"282","author":"M Gondran","year":"1998","unstructured":"Gondran, M., Minoux, M.: Eigenvalues and Eigen-Functionals of Diagonally Dominant Endomorphophisms in Min-Max Analysis. Linear Algebra Appl. 282, 47\u201361 (1998)","journal-title":"Linear Algebra Appl."},{"key":"36_CR11","unstructured":"Gondran, M., Minoux, M.: Graphes, dio\u00efdes et semi-anneaux. Editions TEC & DOC, Paris (2001)"},{"issue":"12","key":"36_CR12","doi-asserted-by":"publisher","first-page":"1273","DOI":"10.1016\/j.fss.2007.01.016","volume":"158","author":"M Gondran","year":"2007","unstructured":"Gondran, M., Minoux, M.: Dio\u00efds and Semirings: Links to Fuzzy Sets and Other Applications. Fuzzy Sets Syst. 158(12), 1273\u20131294 (2007)","journal-title":"Fuzzy Sets Syst."},{"key":"36_CR13","doi-asserted-by":"crossref","unstructured":"Maragos, P.: Representations for Morphological Image Operators and Analogies with Linear Operators. Adv. Imaging Electron Phys. 177, 45\u2013187 (2013)","DOI":"10.1016\/B978-0-12-407702-7.00002-4"},{"key":"36_CR14","doi-asserted-by":"publisher","DOI":"10.1002\/9781119579519","volume-title":"Topographical Tools for Filtering and Segmentation 1: Watersheds on Node- or Edge-weighted Graphs","author":"F Meyer","year":"2019","unstructured":"Meyer, F.: Topographical Tools for Filtering and Segmentation 1: Watersheds on Node- or Edge-weighted Graphs. Wiley, Hoboken (2019)"},{"key":"36_CR15","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/0165-0114(78)90033-7","volume":"1","author":"E Sanchez","year":"1978","unstructured":"Sanchez, E.: Resolution of Eigen Fuzzy Sets Equations. Fuzzy Sets Syst. 1, 69\u201374 (1978)","journal-title":"Fuzzy Sets Syst."},{"key":"36_CR16","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0024-3795(03)00550-0","volume":"374","author":"YJ Tan","year":"2003","unstructured":"Tan, Y.J.: On the Eigenproblem of Matrices Over Distributive Lattices. Linear Algebra Appl. 374, 87\u2013106 (2003)","journal-title":"Linear Algebra Appl."},{"key":"36_CR17","unstructured":"Serra, J.: Image Analysis and Mathematical Morphology. Vol II: Theoretical Advances. Academic Press, London (1988)"}],"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\/978-3-030-76657-3_36","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T22:03:29Z","timestamp":1747260209000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-76657-3_36"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030766566","9783030766573"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-76657-3_36","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"16 May 2021","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":"Uppsala","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Sweden","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 May 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"27 May 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"dgmm2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.dgmm2021.se\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"59","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"36","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"61% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"1,3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}