{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T18:19:49Z","timestamp":1743013189684,"version":"3.40.3"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030040697"},{"type":"electronic","value":"9783030040703"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"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":[[2018]]},"DOI":"10.1007\/978-3-030-04070-3_3","type":"book-chapter","created":{"date-parts":[[2018,11,21]],"date-time":"2018-11-21T13:56:27Z","timestamp":1542808587000},"page":"36-48","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Poisson Equation Solution and Its Gradient Vector Field to Geometric Features Detection"],"prefix":"10.1007","author":[{"given":"Mengzhe","family":"Chen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8299-5448","authenticated-orcid":false,"given":"Nikolay Metodiev","family":"Sirakov","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,11,22]]},"reference":[{"issue":"1","key":"3_CR1","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1023\/A:1007979827043","volume":"22","author":"V Caselles","year":"1997","unstructured":"Caselles, V., Kimmel, R., Sapiro, G.: Geodesic active contours. Int. J. Comput. Vis. 22(1), 61\u201379 (1997)","journal-title":"Int. J. Comput. Vis."},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s10851-006-9004-6","volume":"26","author":"NM Sirakov","year":"2006","unstructured":"Sirakov, N.M.: A new active convex hull model for image regions. J. Math. Imaging Vis. 26, 309\u2013325 (2006)","journal-title":"J. Math. Imaging Vis."},{"key":"3_CR3","doi-asserted-by":"publisher","unstructured":"Bowden, A., Todorov, D., Sirakov, N.M.: Implementation of the Euler-Lagrange and Poisson equations to extract one connected region. In: Proceedings of AMiTANs, vol. 1629, pp. 400\u2013407. American Institute of Physics (2014). https:\/\/doi.org\/10.1063\/1.4902301","DOI":"10.1063\/1.4902301"},{"key":"3_CR4","unstructured":"Bowden, A., Sirakov, M.N.: Applications of the Euler-Lagrange Poisson active contour in vector fields, overcoming noise, and line integrals. Dyn. Contin., Discret. Impuls. Syst. Ser. B Appl. Algorithms 23, 59\u201373 (2016)"},{"issue":"8","key":"3_CR5","first-page":"2096","volume":"16","author":"B Li","year":"2007","unstructured":"Li, B., Acton, B.: Active contour external force using vector field convolution for image segmentation. IEEE TIP 16(8), 2096\u20132106 (2007)","journal-title":"IEEE TIP"},{"issue":"6","key":"3_CR6","doi-asserted-by":"publisher","first-page":"2128","DOI":"10.1137\/S0036139902408928","volume":"63","author":"G Aubert","year":"2003","unstructured":"Aubert, G., Barlaud, M., Faugeras, O., Jehan-Besson, S.: Image segmentation using active contours: calculus of variations or shape gradients? SIAM J. Appl. Math. 63(6), 2128\u20132154 (2003)","journal-title":"SIAM J. Appl. Math."},{"key":"3_CR7","doi-asserted-by":"publisher","first-page":"1991","DOI":"10.1109\/TPAMI.2006.253","volume":"28","author":"L Gorelick","year":"2007","unstructured":"Gorelick, L., Galun, M., Sharon, E., Basri, R., Brandt, A.: Shape representation and classification using the Poisson equation. IEEE Trans. PAMI 28, 1991\u20132005 (2007)","journal-title":"IEEE Trans. PAMI"},{"issue":"1","key":"3_CR8","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/s10851-013-0441-8","volume":"49","author":"S Tari","year":"2014","unstructured":"Tari, S., Genctav, M.: From a non-local ambrosio-tortorelli phase field to a randomized part hierarchy tree. JMIV 49(1), 69\u201386 (2014)","journal-title":"JMIV"},{"key":"3_CR9","unstructured":"Sosinsky, Vector fields on the plane (2015). http:\/\/ium.mccme.ru\/postscript\/s16\/topology1-Lec7.pdf"},{"issue":"3","key":"3_CR10","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1111\/cgf.12107","volume":"32","author":"N Ferreira","year":"2013","unstructured":"Ferreira, N., Klosowski, J.T., Scheidegger, C.E., Silva, C.T.: Vector field k-means: clustering trajectories by fitting multiple vector fields. Comput. Graph. Forum 32(3), 201\u2013210 (2013)","journal-title":"Comput. Graph. Forum"},{"issue":"4","key":"3_CR11","doi-asserted-by":"publisher","first-page":"1294","DOI":"10.1145\/1183287.1183290","volume":"25","author":"E Zhang","year":"2006","unstructured":"Zhang, E., Konstantin, M., Greg, T.: Vector fields design on surfaces. ACM Trans. Graph. 25(4), 1294\u20131326 (2006)","journal-title":"ACM Trans. Graph."},{"issue":"11","key":"3_CR12","doi-asserted-by":"publisher","first-page":"3912","DOI":"10.1016\/j.patcog.2012.04.025","volume":"45","author":"L Wei","year":"2012","unstructured":"Wei, L., Eraldo, R.: Detecting singular patterns in 2-D vector fields using weighted Laurent polynomial. Pattern Recogn. 45(11), 3912\u20133925 (2012)","journal-title":"Pattern Recogn."}],"container-title":["Lecture Notes in Computer Science","Theory and Practice of Natural Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-04070-3_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T14:09:31Z","timestamp":1614866971000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-04070-3_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783030040697","9783030040703"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-04070-3_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"22 November 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"TPNC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Theory and Practice of Natural Computing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Dublin","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ireland","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 December 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 December 2018","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":"tpnc2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/tpnc2018.irdta.eu\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}