{"id":"https://openalex.org/W1497932353","doi":"https://doi.org/10.1109/icarcv.2002.1234803","title":"Markov random fields for square and hexagonal textures","display_name":"Markov random fields for square and hexagonal textures","publication_year":2004,"publication_date":"2004-04-23","ids":{"openalex":"https://openalex.org/W1497932353","doi":"https://doi.org/10.1109/icarcv.2002.1234803","mag":"1497932353"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2002.1234803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2002.1234803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"7th International Conference on Control, Automation, Robotics and Vision, 2002. ICARCV 2002.","raw_type":"proceedings-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/A5072823158","display_name":"Lee Middleton","orcid":"https://orcid.org/0000-0003-4621-1922"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"L. Middleton","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, University of Auckland, Auckland, New Zealand","[Dept. of Electr. & Electron. Eng., Auckland Univ., New Zealand]"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"[Dept. of Electr. & Electron. Eng., Auckland Univ., New Zealand]","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072823158"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05131999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"96","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.994700014591217,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.994700014591217,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9932000041007996,"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":0.991100013256073,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.7835819721221924},{"id":"https://openalex.org/keywords/square-lattice","display_name":"Square lattice","score":0.678828239440918},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.6444087028503418},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6314098834991455},{"id":"https://openalex.org/keywords/hexagonal-lattice","display_name":"Hexagonal lattice","score":0.5753316879272461},{"id":"https://openalex.org/keywords/markov-random-field","display_name":"Markov random field","score":0.5578201413154602},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5128905773162842},{"id":"https://openalex.org/keywords/random-field","display_name":"Random field","score":0.4648182988166809},{"id":"https://openalex.org/keywords/texture","display_name":"Texture (cosmology)","score":0.45656996965408325},{"id":"https://openalex.org/keywords/hexagonal-tiling","display_name":"Hexagonal tiling","score":0.45482969284057617},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.44473692774772644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3776688873767853},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3452885150909424},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.3326183557510376},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3284846544265747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3205159306526184},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24542486667633057},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24508947134017944},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.20893463492393494},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.20621684193611145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19933205842971802},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10082578659057617},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.0963769257068634},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09538301825523376},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.07586288452148438}],"concepts":[{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.7835819721221924},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.678828239440918},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.6444087028503418},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6314098834991455},{"id":"https://openalex.org/C90626534","wikidata":"https://www.wikidata.org/wiki/Q4523381","display_name":"Hexagonal lattice","level":3,"score":0.5753316879272461},{"id":"https://openalex.org/C2778045648","wikidata":"https://www.wikidata.org/wiki/Q176827","display_name":"Markov random field","level":4,"score":0.5578201413154602},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5128905773162842},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.4648182988166809},{"id":"https://openalex.org/C2781195486","wikidata":"https://www.wikidata.org/wiki/Q289436","display_name":"Texture (cosmology)","level":3,"score":0.45656996965408325},{"id":"https://openalex.org/C35908053","wikidata":"https://www.wikidata.org/wiki/Q3063631","display_name":"Hexagonal tiling","level":3,"score":0.45482969284057617},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.44473692774772644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3776688873767853},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3452885150909424},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3326183557510376},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3284846544265747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3205159306526184},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24542486667633057},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24508947134017944},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.20893463492393494},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.20621684193611145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19933205842971802},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10082578659057617},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.0963769257068634},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09538301825523376},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.07586288452148438},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2002.1234803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2002.1234803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"7th International Conference on Control, Automation, Robotics and Vision, 2002. ICARCV 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.8399999737739563,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W186419298","https://openalex.org/W1507028917","https://openalex.org/W2044465660","https://openalex.org/W2063087073","https://openalex.org/W2065301447","https://openalex.org/W2067153519","https://openalex.org/W2104494306","https://openalex.org/W2114220616","https://openalex.org/W3023540311","https://openalex.org/W6677388911"],"related_works":["https://openalex.org/W2087433219","https://openalex.org/W2105466040","https://openalex.org/W2170079321","https://openalex.org/W987019958","https://openalex.org/W4233015508","https://openalex.org/W1977023273","https://openalex.org/W2030382593","https://openalex.org/W1983122994","https://openalex.org/W2142528991","https://openalex.org/W2078379274"],"abstract_inverted_index":{"Computer":[0],"vision":[1],"on":[2,5,39],"lattices":[3],"based":[4],"hexagonal":[6,56,73,79,100],"pixels":[7],"is":[8,67],"considered":[9],"to":[10,14,23],"be":[11],"advantageous":[12],"due":[13],"the":[15,19,40,51,62,76,103,106],"consistent":[16],"connectivity":[17],"within":[18],"lattice.":[20,57],"This":[21,36,113],"leads":[22],"more":[24],"sensible":[25],"definitions":[26],"for":[27,46],"neighbourhoods":[28],"and":[29,49,72,108],"positive":[30],"benefits":[31,52],"when":[32],"processing":[33],"curved":[34],"structures.":[35],"work":[37],"concentrates":[38],"autobinomial":[41],"Markov":[42],"random":[43],"field":[44],"model":[45,101],"texture":[47],"generation":[48],"examines":[50],"of":[53,64,78,88,105],"using":[54],"a":[55,97],"The":[58],"results":[59],"showed":[60],"that":[61],"range":[63],"textures":[65,89],"produced":[66],"similar":[68,115],"in":[69,86],"both":[70],"square":[71,111],"images.":[74],"In":[75],"case":[77],"images":[80],"however,":[81],"there":[82],"are":[83],"definite":[84],"advantages":[85],"replication":[87],"with":[90,117],"symmetries":[91],"along":[92],"60/spl":[93],"deg/":[94],"axes.":[95],"Furthermore,":[96],"first":[98,107],"order":[99,110],"combines":[102],"features":[104],"second":[109],"model.":[112],"provides":[114],"performance":[116],"fewer":[118],"parameters.":[119]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}