{"id":"https://openalex.org/W2143921259","doi":"https://doi.org/10.1142/s0218654308001154","title":"NON-TRADITIONAL GRIDS EMBEDDED IN \u2124<sup>n</sup>","display_name":"NON-TRADITIONAL GRIDS EMBEDDED IN \u2124<sup>n</sup>","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2143921259","doi":"https://doi.org/10.1142/s0218654308001154","mag":"2143921259"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654308001154","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654308001154","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065953856","display_name":"Benedek Nagy","orcid":"https://orcid.org/0000-0002-9494-6440"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"BENEDEK NAGY","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018135860","display_name":"Robin Strand","orcid":"https://orcid.org/0000-0001-7764-1787"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"ROBIN STRAND","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4023,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.84197354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"02","first_page":"209","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9570000171661377,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3383708596229553}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3383708596229553}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218654308001154","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654308001154","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"},{"id":"pmh:oai:ganymedesd.lib.unideb.hu:2437/100145","is_oa":false,"landing_page_url":"http://hdl.handle.net/2437/100145","pdf_url":null,"source":{"id":"https://openalex.org/S4306402089","display_name":"University of Debrecen Electronic Archive (University of Debrecen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132735039","host_organization_name":"University of Debrecen","host_organization_lineage":["https://openalex.org/I132735039"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"foly\u00f3iratcikk"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322193","display_name":"Nemzeti Kutat\u00e1si \u00e9s Technol\u00f3giai Hivatal","ror":"https://ror.org/03g2am276"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1538043442","https://openalex.org/W1842287549","https://openalex.org/W1975285565","https://openalex.org/W1986012436","https://openalex.org/W1996342882","https://openalex.org/W2001297280","https://openalex.org/W2012767173","https://openalex.org/W2012848347","https://openalex.org/W2047250593","https://openalex.org/W2097543505","https://openalex.org/W2121628920","https://openalex.org/W2124224160","https://openalex.org/W2138049424","https://openalex.org/W2156838423","https://openalex.org/W2169859779","https://openalex.org/W2618896829","https://openalex.org/W4229750588","https://openalex.org/W4293259454"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880"],"abstract_inverted_index":{"The":[0,43],"two-dimensional":[1],"hexagonal":[2,99],"grid":[3,9],"and":[4,16],"the":[5,30,53,74,94,98],"three-dimensional":[6,37],"face-centered":[7],"cubic":[8],"can":[10],"be":[11],"described":[12],"by":[13,39],"intersecting":[14],"\u21243":[15],"\u21244":[17],"with":[18],"(hyper)planes.":[19],"Corresponding":[20],"grids":[21,38],"in":[22],"higher":[23],"dimensions":[24],"are":[25,65],"examined.":[26],"Also,":[27],"we":[28,88],"explain":[29],"connection":[31],"between":[32],"a":[33,49],"number":[34],"of":[35,45,62,97],"well-known":[36],"using":[40],"this":[41,86],"construction.":[42],"union":[44],"four":[46],"hyperplanes":[47],"(in":[48],"circular":[50],"way)":[51],"gives":[52],"bcc":[54],"grid.":[55,100],"Based":[56],"on":[57,67,93],"these":[58,68],"connections,":[59],"several":[60],"types":[61],"neighborhood":[63],"structures":[64,71],"introduced":[66],"grids.":[69],"These":[70],"span":[72],"from":[73],"most":[75],"natural":[76],"ones":[77],"(crystal":[78],"bonds,":[79],"Voronoi":[80],"neighbors)":[81],"to":[82],"infinite":[83],"families.":[84],"In":[85],"paper,":[87],"define":[89],"path-based":[90],"distance":[91],"functions":[92],"high-dimensional":[95],"generalizations":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}