{"id":"https://openalex.org/W1971988305","doi":"https://doi.org/10.1109/cvpr.2012.6247766","title":"2D/3D rotation-invariant detection using equivariant filters and kernel weighted mapping","display_name":"2D/3D rotation-invariant detection using equivariant filters and kernel weighted mapping","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W1971988305","doi":"https://doi.org/10.1109/cvpr.2012.6247766","mag":"1971988305"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2012.6247766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2012.6247766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition","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/A5100398744","display_name":"Kun Liu","orcid":"https://orcid.org/0000-0001-6048-0622"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Kun Liu","raw_affiliation_strings":["Department of Computer Science, BIOSS Center for Biological Signaling Studies, University of Freiburg, Germany","Department of Computer Science, University of Freiburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, BIOSS Center for Biological Signaling Studies, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Department of Computer Science, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100691701","display_name":"Qing Wang","orcid":"https://orcid.org/0000-0001-6098-5946"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Qing Wang","raw_affiliation_strings":["Department of Computer Science, University of Freiburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027561182","display_name":"Wolfgang Driever","orcid":"https://orcid.org/0000-0002-9551-9141"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"W. Driever","raw_affiliation_strings":["Institute of Biology I, BIOSS Center for Biological Signaling Studies, University of Freiburg, Germany","[Institute of Biology I, University of Freiburg, Germany]"],"affiliations":[{"raw_affiliation_string":"Institute of Biology I, BIOSS Center for Biological Signaling Studies, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"[Institute of Biology I, University of Freiburg, Germany]","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045981348","display_name":"Olaf Ronneberger","orcid":"https://orcid.org/0000-0002-4266-1515"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"O. Ronneberger","raw_affiliation_strings":["Department of Computer Science, BIOSS Center for Biological Signaling Studies, University of Freiburg, Germany","Department of Computer Science, University of Freiburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, BIOSS Center for Biological Signaling Studies, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Department of Computer Science, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100398744"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":52.2796,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.99462404,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"917","last_page":"924"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.998199999332428,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9973999857902527,"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/equivariant-map","display_name":"Equivariant map","score":0.8198142051696777},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7536188364028931},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.5983662605285645},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5247193574905396},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5111573338508606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4556875228881836},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4537123441696167},{"id":"https://openalex.org/keywords/rotation-group-so","display_name":"Rotation group SO","score":0.4315893352031708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4313628673553467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4176216721534729},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3582967221736908},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2383541464805603},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1890900731086731}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.8198142051696777},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7536188364028931},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5983662605285645},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5247193574905396},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5111573338508606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4556875228881836},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4537123441696167},{"id":"https://openalex.org/C207570611","wikidata":"https://www.wikidata.org/wiki/Q1256500","display_name":"Rotation group SO","level":2,"score":0.4315893352031708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4313628673553467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4176216721534729},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3582967221736908},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2383541464805603},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1890900731086731},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2012.6247766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2012.6247766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.492.5936","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.492.5936","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lmb.informatik.uni-freiburg.de/Publications/2012/LWR12/liu_cvpr2012.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W1482825550","https://openalex.org/W1499409922","https://openalex.org/W1546543530","https://openalex.org/W1551774182","https://openalex.org/W1966805040","https://openalex.org/W1970560687","https://openalex.org/W1971616954","https://openalex.org/W1976443465","https://openalex.org/W1991605728","https://openalex.org/W1995444699","https://openalex.org/W2039457516","https://openalex.org/W2041403134","https://openalex.org/W2049686973","https://openalex.org/W2053275091","https://openalex.org/W2097222246","https://openalex.org/W2106321064","https://openalex.org/W2130068374","https://openalex.org/W2135414191","https://openalex.org/W2137957930","https://openalex.org/W2139266294","https://openalex.org/W2144354855","https://openalex.org/W2151103935","https://openalex.org/W2563964832","https://openalex.org/W4206138299","https://openalex.org/W6628991564","https://openalex.org/W6632807641","https://openalex.org/W6633090903"],"related_works":["https://openalex.org/W2798549588","https://openalex.org/W2023156698","https://openalex.org/W2121718417","https://openalex.org/W1987499760","https://openalex.org/W1614674816","https://openalex.org/W4239494866","https://openalex.org/W1825635013","https://openalex.org/W2043704144","https://openalex.org/W2077255337","https://openalex.org/W4246868476"],"abstract_inverted_index":{"In":[0,27],"many":[1],"vision":[2],"problems,":[3],"rotation-invariant":[4,108],"analysis":[5],"is":[6,60],"necessary":[7],"or":[8,18],"preferred.":[9],"Popular":[10],"solutions":[11],"are":[12],"mainly":[13],"based":[14],"on":[15,38,96,107],"pose":[16],"normalization":[17],"brute-force":[19],"learning,":[20],"neglecting":[21],"the":[22,39,49,56,63,67,75,89],"intrinsic":[23],"properties":[24,54],"of":[25,55,66,74],"rotations.":[26],"this":[28],"paper,":[29],"we":[30],"present":[31],"a":[32,44,104],"rotation":[33,68,72],"invariant":[34],"detection":[35,99,110],"approach":[36],"built":[37],"equivariant":[40],"filter":[41],"framework,":[42],"with":[43,100],"new":[45],"model":[46],"for":[47],"learning":[48,85],"filtering":[50],"behavior.":[51],"The":[52,78],"special":[53],"harmonic":[57],"basis,":[58],"which":[59],"related":[61],"to":[62],"irreducible":[64],"representation":[65],"group,":[69],"directly":[70],"guarantees":[71],"invariance":[73,90],"whole":[76],"approach.":[77],"proposed":[79],"kernel":[80],"weighted":[81],"mapping":[82],"ensures":[83],"high":[84],"capability":[86],"while":[87],"respecting":[88],"constraint.":[91],"We":[92],"demonstrate":[93],"its":[94],"performance":[95],"2D":[97],"object":[98],"in-plane":[101],"rotations,":[102],"and":[103],"3D":[105],"application":[106],"landmark":[109],"in":[111],"microscopic":[112],"volumetric":[113],"data.":[114]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
