{"id":"https://openalex.org/W1963620900","doi":"https://doi.org/10.1016/0262-8856(89)90044-9","title":"A digital geometry for hexagonal pixels","display_name":"A digital geometry for hexagonal pixels","publication_year":1989,"publication_date":"1989-08-01","ids":{"openalex":"https://openalex.org/W1963620900","doi":"https://doi.org/10.1016/0262-8856(89)90044-9","mag":"1963620900"},"language":"en","primary_location":{"id":"doi:10.1016/0262-8856(89)90044-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0262-8856(89)90044-9","pdf_url":null,"source":{"id":"https://openalex.org/S177430994","display_name":"Image and Vision Computing","issn_l":"0262-8856","issn":["0262-8856","1872-8138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Image and Vision Computing","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/A5102022933","display_name":"Sarah Bell","orcid":"https://orcid.org/0000-0001-5300-9701"},"institutions":[{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sarah BM Bell","raw_affiliation_strings":["NERC Unit for Thematic Information Systems, Geography Department, University of Reading, Whiteknights, PO Box 227, Reading RG6 2AB, UK"],"affiliations":[{"raw_affiliation_string":"NERC Unit for Thematic Information Systems, Geography Department, University of Reading, Whiteknights, PO Box 227, Reading RG6 2AB, UK","institution_ids":["https://openalex.org/I71052956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110054436","display_name":"Fred Holroyd","orcid":null},"institutions":[{"id":"https://openalex.org/I204136569","display_name":"The Open University","ror":"https://ror.org/05mzfcs16","country_code":"GB","type":"education","lineage":["https://openalex.org/I204136569"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Fred C Holroyd","raw_affiliation_strings":["Faculty of Mathematics, The Open University. Walton Hall, Milton Keynes MK7 6AA. UK","Faculty of Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA, UK"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, The Open University. Walton Hall, Milton Keynes MK7 6AA. UK","institution_ids":["https://openalex.org/I204136569"]},{"raw_affiliation_string":"Faculty of Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA, UK","institution_ids":["https://openalex.org/I204136569"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109967778","display_name":"David C. Mason","orcid":null},"institutions":[{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David C Mason","raw_affiliation_strings":["NERC Unit for Thematic Information Systems, Geography Department, University of Reading, Whiteknights, PO Box 227, Reading RG6 2AB, UK"],"affiliations":[{"raw_affiliation_string":"NERC Unit for Thematic Information Systems, Geography Department, University of Reading, Whiteknights, PO Box 227, Reading RG6 2AB, UK","institution_ids":["https://openalex.org/I71052956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102022933"],"corresponding_institution_ids":["https://openalex.org/I71052956"],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":null,"fwci":1.7148,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.84468491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"3","first_page":"194","last_page":"204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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":1.0,"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":0.9951000213623047,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9613999724388123,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/oblique-case","display_name":"Oblique case","score":0.7506417036056519},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.7403894662857056},{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.6858577728271484},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.634357750415802},{"id":"https://openalex.org/keywords/digital-geometry","display_name":"Digital geometry","score":0.6079227924346924},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5191406607627869},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49173811078071594},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4363344609737396},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4102820158004761},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.39315178990364075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38712042570114136},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.3847053647041321},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3701973855495453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3466343879699707},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.0838891863822937}],"concepts":[{"id":"https://openalex.org/C160697094","wikidata":"https://www.wikidata.org/wiki/Q1233197","display_name":"Oblique case","level":2,"score":0.7506417036056519},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.7403894662857056},{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.6858577728271484},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.634357750415802},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.6079227924346924},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5191406607627869},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49173811078071594},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4363344609737396},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4102820158004761},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.39315178990364075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38712042570114136},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.3847053647041321},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3701973855495453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3466343879699707},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0838891863822937},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0262-8856(89)90044-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0262-8856(89)90044-9","pdf_url":null,"source":{"id":"https://openalex.org/S177430994","display_name":"Image and Vision Computing","issn_l":"0262-8856","issn":["0262-8856","1872-8138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Image and Vision Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334631","display_name":"Natural Environment Research Council","ror":"https://ror.org/02b5d8509"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W148757918","https://openalex.org/W1512955671","https://openalex.org/W1842287549","https://openalex.org/W1968203978","https://openalex.org/W1975048877","https://openalex.org/W1976678415","https://openalex.org/W1988501608","https://openalex.org/W2012799661","https://openalex.org/W2029812024","https://openalex.org/W2050576295","https://openalex.org/W2052795245","https://openalex.org/W2060968961","https://openalex.org/W2074145928","https://openalex.org/W2096248838","https://openalex.org/W4254622438","https://openalex.org/W6665820069"],"related_works":["https://openalex.org/W2065550022","https://openalex.org/W230695242","https://openalex.org/W2101716776","https://openalex.org/W3094993849","https://openalex.org/W4302308045","https://openalex.org/W3039460879","https://openalex.org/W3083335825","https://openalex.org/W4283762067","https://openalex.org/W1964912095","https://openalex.org/W2116361737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
