{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T19:16:31Z","timestamp":1742930191882,"version":"3.40.3"},"publisher-location":"Cham","reference-count":19,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031319747"},{"type":"electronic","value":"9783031319754"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"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":[[2023]]},"DOI":"10.1007\/978-3-031-31975-4_51","type":"book-chapter","created":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T21:56:29Z","timestamp":1683755789000},"page":"665-676","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["$$\\alpha $$-Pixels for\u00a0Hierarchical Analysis of\u00a0Digital Objects"],"prefix":"10.1007","author":[{"given":"Kouki","family":"Tosaka","sequence":"first","affiliation":[]},{"given":"Atsushi","family":"Imiya","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,10]]},"reference":[{"key":"51_CR1","volume-title":"Digital Geometry: Geometric Methods for Digital Image Analysis (The Morgan Kaufmann Series in Computer Graphics)","author":"A Rosenfeld","year":"2004","unstructured":"Rosenfeld, A., Klette, R.: Digital Geometry: Geometric Methods for Digital Image Analysis (The Morgan Kaufmann Series in Computer Graphics). Morgan Kaufmann, San Diego (2004)"},{"key":"51_CR2","series-title":"Lecture Notes in Computational Vision and Biomechanics","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-4174-4_1","volume-title":"Digital Geometry Algorithms","author":"AM Bruckstein","year":"2012","unstructured":"Bruckstein, A.M.: Digital geometry in image-based metrology. In: Brimkov, V., Barneva, R. (eds.) Digital Geometry Algorithms. Lecture Notes in Computational Vision and Biomechanics, vol. 2. Springer, Cham (2012). https:\/\/doi.org\/10.1007\/978-94-007-4174-4_1"},{"key":"51_CR3","series-title":"Lecture Notes in Computational Vision and Biomechanics","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-4174-4_11","volume-title":"Digital Geometry Algorithms","author":"A Imiya","year":"2012","unstructured":"Imiya, A., Sato, K.: Shape from silhouettes in discrete space. In: Brimkov, V., Barneva, R. (eds.) Digital Geometry Algorithms. Lecture Notes in Computational Vision and Biomechanics, vol. 2. Springer, Dordrecht (2012). https:\/\/doi.org\/10.1007\/978-94-007-4174-4_11"},{"key":"51_CR4","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.cag.2005.10.009","volume":"30","author":"D Coeurjolly","year":"2006","unstructured":"Coeurjolly, D., Zerarga, L.: Supercover model, digital straight line recognition and curve reconstruction on the irregular isothetic grids. Comput. Graph. 30, 46\u201353 (2006). https:\/\/doi.org\/10.1016\/j.cag.2005.10.009","journal-title":"Comput. Graph."},{"doi-asserted-by":"publisher","unstructured":"Amenta, N., Choi, S., Dey, T.K., Leekha, N.: A simple algorithm for homeomorphic surface reconstruction. In: SCG 2000: Proceedings of the Sixteenth Annual Symposium on Computational Geometry, pp. 213\u2013222 (2000). https:\/\/doi.org\/10.1145\/336154.336207","key":"51_CR5","DOI":"10.1145\/336154.336207"},{"key":"51_CR6","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1145\/99902.99905","volume":"10","author":"M Karasick","year":"1991","unstructured":"Karasick, M., Lieber, D., Nackman, L.: Efficient Delaunay triangulation using rational arithmetic. ACM Trans. Graph. 10, 71\u201391 (1991)","journal-title":"ACM Trans. Graph."},{"key":"51_CR7","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1016\/S0377-0427(00)00342-3","volume":"121","author":"G Alefeld","year":"2000","unstructured":"Alefeld, G., Mayer, G.: Interval analysis: theory and applications. J. Comput. Appl. Math. 121, 421\u2013464 (2000). https:\/\/doi.org\/10.1016\/S0377-0427(00)00342-3","journal-title":"J. Comput. Appl. Math."},{"doi-asserted-by":"crossref","unstructured":"Ratschek, H.J., Rokne, J.: Geometric Computations with Interval and New Robust Methods Applications in Computer Graphics, GIS and Computational Geometry. Woodhead Publishing Limited (2003)","key":"51_CR8","DOI":"10.1533\/9780857099518"},{"key":"51_CR9","doi-asserted-by":"publisher","first-page":"438","DOI":"10.1016\/j.cviu.2012.07.006","volume":"117","author":"A Vacavant","year":"2013","unstructured":"Vacavant, A., Roussillon, T., Kerautret, B., Lachaud, J.-O.: A combined multi-scale\/irregular algorithm for the vectorization of noisy digital contours. CVIU 117, 438\u2013450 (2013). https:\/\/doi.org\/10.1016\/j.cviu.2012.07.006","journal-title":"CVIU"},{"key":"51_CR10","doi-asserted-by":"publisher","first-page":"3348","DOI":"10.1016\/j.patcog.2010.04.018","volume":"43","author":"A Vacavant","year":"2010","unstructured":"Vacavant, A.: Fast distance transformation on two-dimensional irregular grids. Pattern Recogn. 43, 3348\u20133358 (2010). https:\/\/doi.org\/10.1016\/j.patcog.2010.04.018","journal-title":"Pattern Recogn."},{"key":"51_CR11","doi-asserted-by":"publisher","first-page":"69","DOI":"10.4310\/jdg\/1214439902","volume":"23","author":"M Gage","year":"1986","unstructured":"Gage, M., Hamilton, R.S.: The heat equation shrinking convex plane curves. J. Differ. Geom. 23, 69\u201396 (1986). https:\/\/doi.org\/10.4310\/jdg\/1214439902","journal-title":"J. Differ. Geom."},{"key":"51_CR12","doi-asserted-by":"publisher","first-page":"285","DOI":"10.4310\/jdg\/1214441371","volume":"26","author":"MA Grayson","year":"1987","unstructured":"Grayson, M.A.: The heat equation shrinks embedded plane curves to round points. J. Differ. Geom. 26, 285\u2013314 (1987). https:\/\/doi.org\/10.4310\/jdg\/1214441371","journal-title":"J. Differ. Geom."},{"key":"51_CR13","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1142\/S0218001495000407","volume":"9","author":"AM Bruckstein","year":"1995","unstructured":"Bruckstein, A.M., Sapiro, G., Shaked, D.: Evolutions of planar polygons. IJPRAI 9, 991\u20131014 (1995). https:\/\/doi.org\/10.1142\/S0218001495000407","journal-title":"IJPRAI"},{"unstructured":"Serra, J.: Image Analysis and Mathematical Morphology. Academic Press (1983)","key":"51_CR14"},{"doi-asserted-by":"crossref","unstructured":"Barrodale, I., Roberts, F.D.K.: An improved algorithm for discrete $$l_1$$ linear approximation. SIAM J. Numer. Anal. 10, 839\u2013848 (1973). https:\/\/www.jstor.org\/stable\/2156318","key":"51_CR15","DOI":"10.1137\/0710069"},{"key":"51_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0377-0427(00)00333-2","volume":"121","author":"GA Wstson","year":"2000","unstructured":"Wstson, G.A.: Approximation in normed linear spaces. J. Comput. Appl. Math. 121, 1\u201336 (2000). https:\/\/doi.org\/10.1016\/S0377-0427(00)00333-2","journal-title":"J. Comput. Appl. Math."},{"key":"51_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-30717-4","author":"J Matou\u01ceek","year":"2007","unstructured":"Matou\u01ceek, J., G\u00e4rtner, B.: Understanding and using linear programming. Springer (2007). https:\/\/doi.org\/10.1007\/978-3-540-30717-4","journal-title":"Springer"},{"key":"51_CR18","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/BF01553880","volume":"4","author":"H Imai","year":"1989","unstructured":"Imai, H., Kato, K., Yamamoto, P.: A linear-time algorithm for linear $$L_1$$ approximation of points. Algorithmica 4, 77\u201396 (1989). https:\/\/doi.org\/10.1007\/BF01553880","journal-title":"Algorithmica"},{"key":"51_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/978-3-540-30551-4_9","volume-title":"Algorithms and Computation","author":"B Aronov","year":"2004","unstructured":"Aronov, B., Asano, T., Katoh, N., Mehlhorn, K., Tokuyama, T.: Polyline fitting of planar points under min-sum criteria. In: Fleischer, R., Trippen, G. (eds.) ISAAC 2004. LNCS, vol. 3341, pp. 77\u201388. Springer, Heidelberg (2004). https:\/\/doi.org\/10.1007\/978-3-540-30551-4_9"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-31975-4_51","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T12:23:16Z","timestamp":1710246196000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-31975-4_51"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031319747","9783031319754"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-31975-4_51","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"10 May 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SSVM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Scale Space and Variational Methods in Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Santa Margherita di Pula","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 May 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 May 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"scalespace2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/eventi.unibo.it\/ssvm2023","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"CMT","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"72","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":"57","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":"79% - 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":"2","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)"}}]}}