{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T18:33:45Z","timestamp":1742927625413,"version":"3.40.3"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031371288"},{"type":"electronic","value":"9783031371295"}],"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\/978-3-031-37129-5_15","type":"book-chapter","created":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T05:01:46Z","timestamp":1688014906000},"page":"173-183","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Role of\u00a0the\u00a0Essential Manifold in\u00a0Data Mining \u2013 An Introductory Approach"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3738-1153","authenticated-orcid":false,"given":"Maria","family":"de F\u00e1tima Pina","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5412-7144","authenticated-orcid":false,"given":"Marina Alexandra","family":"Andrade","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,6,30]]},"reference":[{"key":"15_CR1","doi-asserted-by":"publisher","unstructured":"Altafini, C.: The De Casteljau algorithm on SE(3). In: Lecture Notes in Control and Information Sciences. Springer, London (2007). https:\/\/doi.org\/10.1007\/BFb0110205","DOI":"10.1007\/BFb0110205"},{"key":"15_CR2","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/j.laa.2014.10.003","volume":"466","author":"E Batzies","year":"2015","unstructured":"Batzies, E., H\u00fcper, K., Machado, L., Silva Leite, F.: Geometric mean and geodesic regression on grassmannians. Linear Algebra Appl. 466, 83\u2013101 (2015)","journal-title":"Linear Algebra Appl."},{"key":"15_CR3","doi-asserted-by":"publisher","DOI":"10.1002\/9783527687077","volume-title":"From Physics to Daily Life: Applications in Informatics, Energy, and Environment","author":"B Bressan","year":"2014","unstructured":"Bressan, B.: From Physics to Daily Life: Applications in Informatics, Energy, and Environment. Wiley-Blackwell, Hoboken (2014)"},{"issue":"3","key":"15_CR4","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1023\/A:1021770717822","volume":"5","author":"P Crouch","year":"1999","unstructured":"Crouch, P., Kun, G., Leite, F.S.: The De Casteljau algorithm on Lie groups and spheres. J. Dyn. Control Syst. 5(3), 397\u2013429 (1999)","journal-title":"J. Dyn. Control Syst."},{"key":"15_CR5","unstructured":"de Casteljau, P.: Outillages M\u00e9thodes Calcul. Technical Report, Andr\u00e9 Citro\u00ebn Automobiles SA (1959)"},{"key":"15_CR6","volume-title":"Curves and Surfaces for Computer-Aided Geometric Design - A Practical Guide","author":"G Farin","year":"2002","unstructured":"Farin, G.: Curves and Surfaces for Computer-Aided Geometric Design - A Practical Guide, 5th edn. Academic Press, New York (2002)","edition":"5"},{"key":"15_CR7","doi-asserted-by":"crossref","unstructured":"Higham, N.: Functions of Matrices: Theory and Computation. SIAM (2008)","DOI":"10.1137\/1.9780898717778"},{"key":"15_CR8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511840371","volume-title":"Topics in Matrix Analysis","author":"RA Horn","year":"1991","unstructured":"Horn, R.A., Johnson, C.R.: Topics in Matrix Analysis. Cambridge University Press, New York (1991)"},{"key":"15_CR9","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1007\/s10883-007-9027-3","volume":"4","author":"K H\u00fcper","year":"2007","unstructured":"H\u00fcper, K., Leite, F.S.: On the geometry of rolling and interpolation curves on $$S^n$$, $$\\text{ SO }({n})$$, and Grassmann manifolds. J. Dyn. Control Syst. 4, 467\u2013502 (2007)","journal-title":"J. Dyn. Control Syst."},{"key":"15_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21779-6","volume-title":"An Invitation to 3D Vision: From Images to Geometric Models","author":"Y Ma","year":"2004","unstructured":"Ma, Y., Soatto, S., Koseck\u00e1, J., Sastry, S.: An Invitation to 3D Vision: From Images to Geometric Models. Springer, New York (2004). https:\/\/doi.org\/10.1007\/978-0-387-21779-6"},{"issue":"7","key":"15_CR11","doi-asserted-by":"publisher","first-page":"722","DOI":"10.1016\/j.cagd.2013.06.002","volume":"30","author":"E Nava-Yazdani","year":"2013","unstructured":"Nava-Yazdani, E., Polthier, K.: De Casteljau\u2019s algorithm on manifolds. Comput. Aided Geom. Des. 30(7), 722\u2013732 (2013)","journal-title":"Comput. Aided Geom. Des."},{"key":"15_CR12","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1115\/1.2826114","volume":"117","author":"F Park","year":"1995","unstructured":"Park, F., Ravani, B.: B\u00e9zier curves on Riemannian manifolds and Lie groups with kinematics applications. ASME J. Mech. Des. 117, 36\u201340 (1995)","journal-title":"ASME J. Mech. Des."},{"key":"15_CR13","doi-asserted-by":"crossref","unstructured":"Pina, F., Silva Leite, F.: Cubic splines in the Grassmann manifold generated by the De Casteljau algorithm. In: Preprint Series - Department of Mathematics - University of Coimbra, Portugal, no. 20\u201307 (2020)","DOI":"10.1007\/978-3-030-58653-9_23"},{"key":"15_CR14","series-title":"Lecture Notes in Electrical Engineering","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1007\/978-3-030-58653-9_23","volume-title":"CONTROLO 2020","author":"F Pina","year":"2021","unstructured":"Pina, F., Silva Leite, F.: Cubic splines in the Grassmann manifold. In: Gon\u00e7alves, J.A., Braz-C\u00e9sar, M., Coelho, J.P. (eds.) CONTROLO 2020. LNEE, vol. 695, pp. 243\u2013252. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-58653-9_23"},{"key":"15_CR15","doi-asserted-by":"publisher","unstructured":"Szeliski, R.: Computer Vision: Algorithms and Applications. Texts in Computer Science, Springer, London (2011). https:\/\/doi.org\/10.1007\/978-1-84882-935-0","DOI":"10.1007\/978-1-84882-935-0"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2023 Workshops"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-37129-5_15","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T06:05:57Z","timestamp":1688018757000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-37129-5_15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031371288","9783031371295"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-37129-5_15","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":"30 June 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICCSA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computational Science and Its Applications","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Athens","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Greece","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":"3 July 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6 July 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccsa2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/iccsa.org\/","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":"Custom based on Cyberchair 4","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"283","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":"67","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":"13","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":"24% - 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":"2.5","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":"8,5","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)"}},{"value":"PHD Showcase Papers: 6(for main conf) \/ For ICCSA 2023 Workshops 876 subm sent, 350 full papers and 29 short papers accepted, additional PHD Showcase Papers: 2","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}