{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T10:23:29Z","timestamp":1776680609087,"version":"3.51.2"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030140847","type":"print"},{"value":"9783030140854","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"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":[[2019]]},"DOI":"10.1007\/978-3-030-14085-4_3","type":"book-chapter","created":{"date-parts":[[2019,2,22]],"date-time":"2019-02-22T16:39:58Z","timestamp":1550853598000},"page":"27-37","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Rhombic Dodecahedron Grid\u2014Coordinate System and 3D Digital Object Definitions"],"prefix":"10.1007","author":[{"given":"Ranita","family":"Biswas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ga\u00eblle","family":"Largeteau-Skapin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rita","family":"Zrour","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eric","family":"Andres","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,2,23]]},"reference":[{"issue":"5","key":"3_CR1","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1006\/gmip.1997.0427","volume":"59","author":"E Andres","year":"1997","unstructured":"Andres, E., Acharya, R., Sibata, C.: Discrete analytical hyperplanes. Graph. Models Image Process. 59(5), 302\u2013309 (1997)","journal-title":"Graph. Models Image Process."},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1109\/2945.582354","volume":"3","author":"E Andres","year":"1997","unstructured":"Andres, E., Jacob, M.-A.: The discrete analytical hyperspheres. IEEE Trans. Vis. Comput. Graph. 3, 75\u201386 (1997)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"2","key":"3_CR3","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1093\/comjnl\/bxh075","volume":"48","author":"VE Brimkov","year":"2005","unstructured":"Brimkov, V.E., Barneva, R.P.: Analytical honeycomb geometry for raster and volume graphics. Comput. J. 48(2), 180\u2013199 (2005)","journal-title":"Comput. J."},{"key":"3_CR4","doi-asserted-by":"crossref","unstructured":"Comic, L., Nagy, B.: A combinatorial 3-coordinate system for the face centered cubic grid. In: 2015 9th International Symposium on Image and Signal Processing and Analysis (ISPA), pp. 298\u2013303 (2015)","DOI":"10.1109\/ISPA.2015.7306076"},{"key":"3_CR5","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.patrec.2016.03.012","volume":"83","author":"L Comic","year":"2016","unstructured":"Comic, L., Nagy, B.: A topological 4-coordinate system for the face centered cubic grid. Pattern Recognit. Lett. 83, 67\u201374 (2016)","journal-title":"Pattern Recognit. Lett."},{"key":"3_CR6","doi-asserted-by":"crossref","unstructured":"Grigoryan, A.M., Agaian, S.S.: 2D hexagonal quaternion Fourier transform in color image processing. In: Mobile Multimedia\/Image Processing, Security, and Applications 2016, vol. 9869, p. 98690N. International Society for Optics and Photonics (2016)","DOI":"10.1117\/12.2223115"},{"key":"3_CR7","unstructured":"He, X., Jia, W.: Hexagonal structure for intelligent vision. In: 2005 First International Conference on Information and Communication Technologies, ICICT 2005, pp. 52\u201364. IEEE (2005)"},{"key":"3_CR8","volume-title":"Introduction to Solid State Physics","author":"C Kittel","year":"2004","unstructured":"Kittel, C.: Introduction to Solid State Physics, 8th edn. Wiley, New York (2004)","edition":"8"},{"key":"3_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/978-3-030-05288-1_7","volume-title":"Combinatorial Image Analysis","author":"G Koshti","year":"2018","unstructured":"Koshti, G., Biswas, R., Largeteau-Skapin, G., Zrour, R., Andres, E., Bhowmick, P.: Sphere construction on the FCC grid interpreted as layered hexagonal grids in 3D. In: Barneva, R.P., Brimkov, V.E., Tavares, J.M.R.S. (eds.) IWCIA 2018. LNCS, vol. 11255, pp. 82\u201396. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-030-05288-1_7"},{"key":"3_CR10","volume-title":"Geometry of Locally Finite Spaces: Computer Agreeble Topology and Algorithms for Computer Imagery","author":"VA Kovalevsky","year":"2008","unstructured":"Kovalevsky, V.A.: Geometry of Locally Finite Spaces: Computer Agreeble Topology and Algorithms for Computer Imagery. Editing House Dr. Barbel Kovalevski, Berlin (2008)"},{"key":"3_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1007\/978-3-540-30503-3_7","volume-title":"Combinatorial Image Analysis","author":"TK Linh","year":"2004","unstructured":"Linh, T.K., Imiya, A., Strand, R., Borgefors, G.: Supercover of non-square and non-cubic grids. In: Klette, R., \u017duni\u0107, J. (eds.) IWCIA 2004. LNCS, vol. 3322, pp. 88\u201397. Springer, Heidelberg (2004). https:\/\/doi.org\/10.1007\/978-3-540-30503-3_7"},{"issue":"4","key":"3_CR12","first-page":"161","volume":"10","author":"K Mostafa","year":"2016","unstructured":"Mostafa, K., Her, I.: An edge detection method for hexagonal images. Int. J. Image Process. (IJIP) 10(4), 161 (2016)","journal-title":"Int. J. Image Process. (IJIP)"},{"key":"3_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/978-3-642-34732-0_11","volume-title":"Combinatorial Image Analaysis","author":"B Nagy","year":"2012","unstructured":"Nagy, B.: Cellular topology on the triangular grid. In: Barneva, R.P., Brimkov, V.E., Aggarwal, J.K. (eds.) IWCIA 2012. LNCS, vol. 7655, pp. 143\u2013153. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-34732-0_11"},{"key":"3_CR14","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/s10472-014-9404-z","volume":"75","author":"B Nagy","year":"2015","unstructured":"Nagy, B.: Cellular topology and topological coordinate systems on the hexagonal and on the triangular grids. Ann. Math. Artif. Intell. 75, 117\u2013134 (2015)","journal-title":"Ann. Math. Artif. Intell."},{"key":"3_CR15","doi-asserted-by":"crossref","unstructured":"Nagy, B., Strand, R.: A connection between $$\\mathbb{Z}^n$$ and generalized triangular grids. In: Advances in Visual Computing, Berlin, Heidelberg, pp. 1157\u20131166 (2008)","DOI":"10.1007\/978-3-540-89646-3_115"},{"key":"3_CR16","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1142\/S0218654308001154","volume":"14","author":"B Nagy","year":"2008","unstructured":"Nagy, B., Strand, R.: Non-traditional grids embedded in $$Z^n$$. Int. J. Shape Model. 14, 209\u2013228 (2008)","journal-title":"Int. J. Shape Model."},{"issue":"2","key":"3_CR17","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1002\/ima.20182","volume":"19","author":"B Nagy","year":"2009","unstructured":"Nagy, B., Strand, R.: Neighborhood sequences in the diamond grid: algorithms with two and three neighbors. Int. J. Imaging Syst. Technol. 19(2), 146\u2013157 (2009)","journal-title":"Int. J. Imaging Syst. Technol."},{"key":"3_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/3-540-60246-1_133","volume-title":"Mathematical Foundations of Computer Science 1995","author":"I Stojmenovi\u0107","year":"1995","unstructured":"Stojmenovi\u0107, I.: Honeycomb networks. In: Wiedermann, J., H\u00e1jek, P. (eds.) MFCS 1995. LNCS, vol. 969, pp. 267\u2013276. Springer, Heidelberg (1995). https:\/\/doi.org\/10.1007\/3-540-60246-1_133"},{"key":"3_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1007\/978-3-540-31965-8_7","volume-title":"Discrete Geometry for Computer Imagery","author":"R Strand","year":"2005","unstructured":"Strand, R., Borgefors, G.: Resolution pyramids on the FCC and BCC grids. In: Andres, E., Damiand, G., Lienhardt, P. (eds.) DGCI 2005. LNCS, vol. 3429, pp. 68\u201378. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/978-3-540-31965-8_7"},{"issue":"15","key":"3_CR20","doi-asserted-by":"publisher","first-page":"1350","DOI":"10.1016\/j.tcs.2010.10.027","volume":"412","author":"R Strand","year":"2011","unstructured":"Strand, R., Nagy, B., Borgefors, G.: Digital distance functions on three-dimensional grids. Theor. Comput. Sci. 412(15), 1350\u20131363 (2011)","journal-title":"Theor. Comput. Sci."}],"container-title":["Lecture Notes in Computer Science","Discrete Geometry for Computer Imagery"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-14085-4_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,19]],"date-time":"2023-03-19T01:07:24Z","timestamp":1679188044000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-14085-4_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030140847","9783030140854"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-14085-4_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"23 February 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"DGCI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Discrete Geometry for Computer Imagery","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Marne-la-Vall\u00e9e","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","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":"26 March 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 March 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"dgci2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/dgci2019.sciencesconf.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":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"50","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":"38","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":"76% - 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":"1-2","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)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}