{"id":"https://openalex.org/W2963836651","doi":"https://doi.org/10.1007/s10851-016-0693-1","title":"Second-Order Recursive Filtering on the Rigid-Motion Lie Group $${\\text {SE}}_{3}$$ SE 3 Based on Nonlinear Observations","display_name":"Second-Order Recursive Filtering on the Rigid-Motion Lie Group $${\\text {SE}}_{3}$$ SE 3 Based on Nonlinear Observations","publication_year":2016,"publication_date":"2016-12-21","ids":{"openalex":"https://openalex.org/W2963836651","doi":"https://doi.org/10.1007/s10851-016-0693-1","mag":"2963836651"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-016-0693-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-016-0693-1","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","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/A5018454461","display_name":"Johannes Berger","orcid":"https://orcid.org/0000-0001-8080-5316"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Johannes Berger","raw_affiliation_strings":["Research Training Group 1653, Image and Pattern Analysis Group, Heidelberg University (HCI), Im Neuenheimer Feld 205, 69120, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8080-5316","affiliations":[{"raw_affiliation_string":"Research Training Group 1653, Image and Pattern Analysis Group, Heidelberg University (HCI), Im Neuenheimer Feld 205, 69120, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071963222","display_name":"Frank Lenzen","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Lenzen","raw_affiliation_strings":["Heidelberg Collaboratory for Image Processing, Heidelberg University (HCI), Im Neuenheimer Feld 205, 69120, Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heidelberg Collaboratory for Image Processing, Heidelberg University (HCI), Im Neuenheimer Feld 205, 69120, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019245843","display_name":"Florian Becker","orcid":"https://orcid.org/0000-0003-2268-8232"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Becker","raw_affiliation_strings":["Heidelberg Collaboratory for Image Processing, Heidelberg University (HCI), Im Neuenheimer Feld 205, 69120, Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heidelberg Collaboratory for Image Processing, Heidelberg University (HCI), Im Neuenheimer Feld 205, 69120, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020380680","display_name":"Andreas Neufeld","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Neufeld","raw_affiliation_strings":["Image and Pattern Analysis Group, Heidelberg University (HCI), Im Neuenheimer Feld 205,  69120 , Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Pattern Analysis Group, Heidelberg University (HCI), Im Neuenheimer Feld 205,  69120 , Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088815590","display_name":"Christoph Schn\u00f6rr","orcid":"https://orcid.org/0000-0002-8999-2338"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Schn\u00f6rr","raw_affiliation_strings":["Image and Pattern Analysis Group, Heidelberg University (HCI), Im Neuenheimer Feld 205,  69120 , Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Pattern Analysis Group, Heidelberg University (HCI), Im Neuenheimer Feld 205,  69120 , Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018454461"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.2062,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67413404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"58","issue":"1","first_page":"102","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9997000098228455,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9997000098228455,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9937000274658203,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.986299991607666,"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/mathematics","display_name":"Mathematics","score":0.5494680404663086},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5425698161125183},{"id":"https://openalex.org/keywords/optical-flow","display_name":"Optical flow","score":0.5338273048400879},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5164268612861633},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.5100811123847961},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5023531913757324},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4803403615951538},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46620070934295654},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.433150976896286},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.42814141511917114},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3855547308921814},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3723030686378479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3264922499656677},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27483558654785156},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.21794840693473816},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.18487384915351868},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1133301854133606}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5494680404663086},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5425698161125183},{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.5338273048400879},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5164268612861633},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.5100811123847961},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5023531913757324},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4803403615951538},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46620070934295654},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.433150976896286},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.42814141511917114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3855547308921814},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3723030686378479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3264922499656677},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27483558654785156},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.21794840693473816},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.18487384915351868},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1133301854133606},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-016-0693-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-016-0693-1","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W8105021","https://openalex.org/W19375919","https://openalex.org/W283036238","https://openalex.org/W1447137170","https://openalex.org/W1540059687","https://openalex.org/W1544770838","https://openalex.org/W1547397412","https://openalex.org/W1564897360","https://openalex.org/W1573874356","https://openalex.org/W1595765050","https://openalex.org/W1804110266","https://openalex.org/W1829716368","https://openalex.org/W1852328762","https://openalex.org/W1918419164","https://openalex.org/W1964248020","https://openalex.org/W1980139451","https://openalex.org/W1998846299","https://openalex.org/W2007935444","https://openalex.org/W2011772686","https://openalex.org/W2017849585","https://openalex.org/W2018655096","https://openalex.org/W2020934227","https://openalex.org/W2041339162","https://openalex.org/W2047339782","https://openalex.org/W2049424664","https://openalex.org/W2050256614","https://openalex.org/W2052773943","https://openalex.org/W2074672395","https://openalex.org/W2077991515","https://openalex.org/W2079705635","https://openalex.org/W2098069305","https://openalex.org/W2098613108","https://openalex.org/W2102481828","https://openalex.org/W2102734568","https://openalex.org/W2105532434","https://openalex.org/W2105705004","https://openalex.org/W2105934661","https://openalex.org/W2109635530","https://openalex.org/W2117083552","https://openalex.org/W2117730228","https://openalex.org/W2119467698","https://openalex.org/W2120344048","https://openalex.org/W2122512809","https://openalex.org/W2124313187","https://openalex.org/W2128587390","https://openalex.org/W2134513476","https://openalex.org/W2137448549","https://openalex.org/W2144707556","https://openalex.org/W2148061324","https://openalex.org/W2150066425","https://openalex.org/W2150375101","https://openalex.org/W2155653863","https://openalex.org/W2160337655","https://openalex.org/W2160823029","https://openalex.org/W2168676389","https://openalex.org/W2192370644","https://openalex.org/W2291672095","https://openalex.org/W2501113052","https://openalex.org/W2543420359","https://openalex.org/W2595142274","https://openalex.org/W3217246742","https://openalex.org/W4205293427","https://openalex.org/W6600503824","https://openalex.org/W6634760637","https://openalex.org/W6638720790","https://openalex.org/W6734797129"],"related_works":["https://openalex.org/W2789522126","https://openalex.org/W2066693961","https://openalex.org/W2368363778","https://openalex.org/W122584421","https://openalex.org/W4244295168","https://openalex.org/W2753351751","https://openalex.org/W3185180338","https://openalex.org/W2889348933","https://openalex.org/W2351643838","https://openalex.org/W2476448325"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}