{"id":"https://openalex.org/W4249862099","doi":"https://doi.org/10.1109/icpr.2004.1334500","title":"Transitions of the pre-symmetry set","display_name":"Transitions of the pre-symmetry set","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W4249862099","doi":"https://doi.org/10.1109/icpr.2004.1334500"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2004.1334500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2004.1334500","pdf_url":null,"source":{"id":"https://openalex.org/S4363608750","display_name":"Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5046597105","display_name":"Arjan Kuijper","orcid":"https://orcid.org/0000-0002-6413-0061"},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"A. Kuijper","raw_affiliation_strings":["Image Group, IT-University of Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image Group, IT-University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111858771","display_name":"O.F. Olsen","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"O.F. Olsen","raw_affiliation_strings":["Image Group, IT-University of Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image Group, IT-University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83467386"],"apc_list":null,"apc_paid":null,"fwci":1.4269,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82238538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"190","last_page":"193 Vol.3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9861000180244446,"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":0.9861000180244446,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9846000075340271,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9786999821662903,"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/symmetry","display_name":"Symmetry (geometry)","score":0.7454606294631958},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6003292798995972},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5447479486465454},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47160062193870544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46185553073883057},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45231834053993225},{"id":"https://openalex.org/keywords/symmetry-group","display_name":"Symmetry group","score":0.41917884349823},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40098437666893005},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3701237738132477},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3239887058734894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30707669258117676},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2645719051361084}],"concepts":[{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.7454606294631958},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6003292798995972},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5447479486465454},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47160062193870544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46185553073883057},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45231834053993225},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.41917884349823},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40098437666893005},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3701237738132477},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3239887058734894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30707669258117676},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2645719051361084},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr.2004.1334500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2004.1334500","pdf_url":null,"source":{"id":"https://openalex.org/S4363608750","display_name":"Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W96629785","https://openalex.org/W1490233362","https://openalex.org/W1513047926","https://openalex.org/W2028785429","https://openalex.org/W2077931785","https://openalex.org/W2114766304","https://openalex.org/W2118782734","https://openalex.org/W4238332724","https://openalex.org/W6629312194","https://openalex.org/W6630641971"],"related_works":["https://openalex.org/W1986893398","https://openalex.org/W2903687319","https://openalex.org/W2021918652","https://openalex.org/W2467723682","https://openalex.org/W2165709755","https://openalex.org/W2145815337","https://openalex.org/W3165734106","https://openalex.org/W2069602920","https://openalex.org/W1967165360","https://openalex.org/W237118499"],"abstract_inverted_index":{"The":[0,18],"symmetry":[1],"set":[2],"(SS)":[3],"and":[4,75],"its":[5],"subset":[6],"the":[7,21,28,33,39,45,52,55,62,70,73,85,88,91],"medial":[8],"axis":[9],"(MA),":[10],"can":[11,57],"be":[12,58],"used":[13,59],"to":[14,38,60,68],"describe":[15],"a":[16],"shape.":[17],"representation":[19],"of":[20,44,72,87],"SS":[22],"in":[23,32,90],"parameter":[24],"space":[25],"is":[26,66],"called":[27],"pre-symmetry":[29],"set.":[30],"Changes":[31],"shape":[34,63],"are":[35],"directly":[36],"related":[37],"so-called":[40],"transitions":[41,71],"(topological":[42],"changes)":[43],"SS.":[46],"They":[47],"have":[48],"also":[49],"effect":[50],"on":[51],"pre-SS.":[53,92],"Since":[54],"pre-SS":[56,74],"represent":[61],"efficiently,":[64],"it":[65],"important":[67],"study":[69],"their":[76],"impact.":[77],"We":[78],"present":[79],"these":[80],"transitions,":[81],"as":[82,84],"well":[83],"presence":[86],"MA":[89]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
