{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T15:23:53Z","timestamp":1743693833952,"version":"3.37.3"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030108274"},{"type":"electronic","value":"9783030108281"}],"license":[{"start":{"date-parts":[[2018,12,22]],"date-time":"2018-12-22T00:00:00Z","timestamp":1545436800000},"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":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-10828-1_10","type":"book-chapter","created":{"date-parts":[[2018,12,21]],"date-time":"2018-12-21T06:48:05Z","timestamp":1545374885000},"page":"123-136","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Persistent 1-Cycles: Definition, Computation, and Its Application"],"prefix":"10.1007","author":[{"given":"Tamal K.","family":"Dey","sequence":"first","affiliation":[]},{"given":"Tao","family":"Hou","sequence":"additional","affiliation":[]},{"given":"Sayan","family":"Mandal","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,12,22]]},"reference":[{"key":"10_CR1","volume-title":"Category Theory","author":"S Awodey","year":"2010","unstructured":"Awodey, S.: Category Theory. Oxford University Press, Oxford (2010)"},{"key":"10_CR2","first-page":"695","volume-title":"Lecture Notes in Computer Science","author":"Jean-Daniel Boissonnat","year":"2013","unstructured":"Boissonnat, J., Dey, T.K., Maria, C.: The compressed annotation matrix: an efficient data structure for computing persistent cohomology. CoRR abs\/1304.6813 (2013). http:\/\/arxiv.org\/abs\/1304.6813"},{"key":"10_CR3","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1007\/978-3-642-33090-2_63","volume-title":"Algorithms \u2013 ESA 2012","author":"Jean-Daniel Boissonnat","year":"2012","unstructured":"Boissonnat, J.D., Maria., C.: The simplex tree: an efficient data structure for general simplicial complexes. In: 20th Annual European Symposium, Ljubljana, Slovenia, vol. 2, pp. 731\u2013742 (2012)"},{"issue":"3","key":"10_CR4","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1007\/s00454-014-9573-x","volume":"51","author":"P Bubenik","year":"2014","unstructured":"Bubenik, P., Scott, J.A.: Categorification of persistent homology. Discret. Comput. Geom. 51(3), 600\u2013627 (2014)","journal-title":"Discret. Comput. Geom."},{"key":"10_CR5","doi-asserted-by":"publisher","first-page":"e1000502","DOI":"10.1371\/journal.pbio.1000502","volume":"8","author":"A Cardona","year":"2010","unstructured":"Cardona, A., Saalfeld, S., Preibisch, S., Schmid, B., Cheng, A., Pulokas, J., et al.: An integrated micro- and macroarchitectural analysis of the drosophila brain by computer-assisted serial section electron microscopy. PLoS Biol. 8, e1000502 (2010)","journal-title":"PLoS Biol."},{"issue":"1","key":"10_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11263-007-0056-x","volume":"76","author":"G Carlsson","year":"2008","unstructured":"Carlsson, G., Ishkhanov, T., de Silva, V., Zomorodian, A.: On the local behavior of spaces of natural images. Int. J. Comput. Vis. 76(1), 1\u201312 (2008). https:\/\/doi.org\/10.1007\/s11263-007-0056-x","journal-title":"Int. J. Comput. Vis."},{"key":"10_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-42545-0","volume-title":"The Structure and Stability of Persistence Modules","author":"F Chazal","year":"2016","unstructured":"Chazal, F., de Silva, V., Glisse, M., Oudot, S.: The Structure and Stability of Persistence Modules. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-42545-0"},{"key":"10_CR8","unstructured":"Chen, C., Freedman, D.: Quantifying homology classes II: localization and stability. arXiv preprint arXiv:0709.2512 (2007)"},{"issue":"3","key":"10_CR9","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s00454-010-9322-8","volume":"45","author":"C Chen","year":"2011","unstructured":"Chen, C., Freedman, D.: Hardness results for homology localization. Discret. Comput. Geom. 45(3), 425\u2013448 (2011)","journal-title":"Discret. Comput. Geom."},{"key":"10_CR10","doi-asserted-by":"crossref","unstructured":"Cohen-Steiner, D., Edelsbrunner, H., Harer, J.: Stability of persistence diagrams. In: Proceedings of the Twenty-First Annual Symposium on Computational Geometry, pp. 263\u2013271. ACM (2005)","DOI":"10.1145\/1064092.1064133"},{"issue":"2","key":"10_CR11","first-page":"200","volume":"52","author":"H Derksen","year":"2005","unstructured":"Derksen, H., Weyman, J.: Quiver representations. Not. AMS 52(2), 200\u2013206 (2005)","journal-title":"Not. AMS"},{"issue":"4","key":"10_CR12","doi-asserted-by":"publisher","first-page":"1026","DOI":"10.1137\/100800245","volume":"40","author":"TK Dey","year":"2011","unstructured":"Dey, T.K., Hirani, A., Krishnamoorthy, B.: Optimal homologous cycles, total unimodularity, and linear programming. SIAM J. Comput. 40(4), 1026\u20131044 (2011). https:\/\/doi.org\/10.1137\/100800245","journal-title":"SIAM J. Comput."},{"key":"10_CR13","doi-asserted-by":"crossref","unstructured":"Dey, T.K., Fan, F., Wang, Y.: Computing topological persistence for simplicial maps. In: Proceedings of the Thirtieth Annual Symposium on Computational Geometry, p. 345. ACM (2014)","DOI":"10.1145\/2582112.2582165"},{"key":"10_CR14","doi-asserted-by":"crossref","unstructured":"Dey, T.K., Sun, J., Wang, Y.: Approximating loops in a shortest homology basis from point data. In: Proceedings of the Twenty-Sixth Annual Symposium on Computational Geometry, pp. 166\u2013175. ACM (2010)","DOI":"10.1145\/1810959.1810989"},{"key":"10_CR15","doi-asserted-by":"publisher","unstructured":"Dey, T.K., Mandal, S., Varcho, W.: Improved image classification using topological persistence. In: Hullin, M., Klein, R., Schultz, T., Yao, A. (eds.) Vision, Modeling & Visualization. The Eurographics Association (2017). https:\/\/doi.org\/10.2312\/vmv.20171272","DOI":"10.2312\/vmv.20171272"},{"key":"10_CR16","unstructured":"Edelsbrunner, H.: Weighted alpha shapes. Technical report, Champaign, IL, USA (1992)"},{"key":"10_CR17","volume-title":"Computational Topology: An Introduction","author":"H Edelsbrunner","year":"2010","unstructured":"Edelsbrunner, H., Harer, J.: Computational Topology: An Introduction. American Mathematical Society, Providence (2010)"},{"key":"10_CR18","doi-asserted-by":"crossref","unstructured":"Edelsbrunner, H., Letscher, D., Zomorodian, A.: Topological persistence and simplification. In: Proceedings of the 41st Annual Symposium on Foundations of Computer Science, pp. 454\u2013463. IEEE (2000)","DOI":"10.1109\/SFCS.2000.892133"},{"key":"10_CR19","doi-asserted-by":"crossref","unstructured":"Emmett, K., Schweinhart, B., Rabadan, R.: Multiscale topology of chromatin folding. In: Proceedings of the 9th EAI International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS), pp. 177\u2013180. ICST (Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering) (2016)","DOI":"10.4108\/eai.3-12-2015.2262453"},{"key":"10_CR20","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/978-4-431-55420-2_5","volume-title":"Optimization in the Real World","author":"EG Escolar","year":"2016","unstructured":"Escolar, E.G., Hiraoka, Y.: Optimal cycles for persistent homology via linear programming. In: Fujisawa, K., Shinano, Y., Waki, H. (eds.) Optimization in the Real World, vol. 13, pp. 79\u201396. Springer, Tokyo (2016). https:\/\/doi.org\/10.1007\/978-4-431-55420-2_5"},{"issue":"8","key":"10_CR21","doi-asserted-by":"publisher","first-page":"951","DOI":"10.1109\/TMI.2003.815900","volume":"22","author":"A Hoover","year":"2003","unstructured":"Hoover, A., Goldbaum, M.: Locating the optic nerve in a retinal image using the fuzzy convergence of the blood vessels. IEEE Trans. Med. Imaging 22(8), 951\u2013958 (2003). https:\/\/doi.org\/10.1109\/TMI.2003.815900","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"2","key":"10_CR22","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1083\/jcb.149.2.471","volume":"149","author":"DP Kiehart","year":"2000","unstructured":"Kiehart, D.P., Galbraith, C.G., Edwards, K.A., Rickoll, W.L., Montague, R.A.: Multiple forces contribute to cell sheet morphogenesis for dorsal closure in Drosophila. J. Cell Biol. 149(2), 471\u2013490 (2000). https:\/\/doi.org\/10.1083\/jcb.149.2.471 . http:\/\/jcb.rupress.org\/content\/149\/2\/471","journal-title":"J. Cell Biol."},{"key":"10_CR23","doi-asserted-by":"crossref","unstructured":"Obayashi, I.: Volume optimal cycle: tightest representative cycle of a generator on persistent homology. arXiv preprint arXiv:1712.05103 (2017)","DOI":"10.1137\/17M1159439"},{"issue":"3","key":"10_CR24","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1016\/0022-0000(91)90023-X","volume":"43","author":"CH Papadimitriou","year":"1991","unstructured":"Papadimitriou, C.H., Yannakakis, M.: Optimization, approximation, and complexity classes. J. Comput. Syst. Sci. 43(3), 425\u2013440 (1991)","journal-title":"J. Comput. Syst. Sci."},{"key":"10_CR25","unstructured":"The GUDHI Project: GUDHI User and Reference Manual. GUDHI Editorial Board (2015). http:\/\/gudhi.gforge.inria.fr\/doc\/latest\/"},{"key":"10_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1007\/978-3-319-59050-9_7","volume-title":"Information Processing in Medical Imaging","author":"P Wu","year":"2017","unstructured":"Wu, P., et al.: Optimal topological cycles and their application in cardiac trabeculae restoration. In: Niethammer, M., et al. (eds.) IPMI 2017. LNCS, vol. 10265, pp. 80\u201392. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-59050-9_7"}],"container-title":["Lecture Notes in Computer Science","Computational Topology in Image Context"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-10828-1_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,11,12]],"date-time":"2019-11-12T16:59:56Z","timestamp":1573577996000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-10828-1_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,22]]},"ISBN":["9783030108274","9783030108281"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-10828-1_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018,12,22]]},"assertion":[{"value":"CTIC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on Computational Topology in Image Context","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"M\u00e1laga","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 January 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 January 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ctic2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.ctic2019.uma.es\/","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"}},{"value":"ConfTool","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"21","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"14","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"14","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"67% - 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"}},{"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"}},{"value":"1.2","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}}]}}