{"id":"https://openalex.org/W2099589526","doi":"https://doi.org/10.1109/icra.2011.5980519","title":"Sensor alignment using rotors in Geometric Algebra","display_name":"Sensor alignment using rotors in Geometric Algebra","publication_year":2011,"publication_date":"2011-05-01","ids":{"openalex":"https://openalex.org/W2099589526","doi":"https://doi.org/10.1109/icra.2011.5980519","mag":"2099589526"},"language":"en","primary_location":{"id":"doi:10.1109/icra.2011.5980519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icra.2011.5980519","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Robotics and Automation","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/A5013962612","display_name":"M. Jordan Stanway","orcid":"https://orcid.org/0000-0003-4014-1767"},"institutions":[{"id":"https://openalex.org/I66958751","display_name":"Woods Hole Oceanographic Institution","ror":"https://ror.org/03zbnzt98","country_code":"US","type":"funder","lineage":["https://openalex.org/I66958751"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Jordan Stanway","raw_affiliation_strings":["Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, Woods Hole, MA, USA","Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, MA 02543-1535, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, Woods Hole, MA, USA","institution_ids":["https://openalex.org/I66958751"]},{"raw_affiliation_string":"Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, MA 02543-1535, USA","institution_ids":["https://openalex.org/I66958751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108384534","display_name":"James C. Kinsey","orcid":null},"institutions":[{"id":"https://openalex.org/I66958751","display_name":"Woods Hole Oceanographic Institution","ror":"https://ror.org/03zbnzt98","country_code":"US","type":"funder","lineage":["https://openalex.org/I66958751"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James C. Kinsey","raw_affiliation_strings":["Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, Woods Hole, MA, USA","Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, MA 02543-1535, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, Woods Hole, MA, USA","institution_ids":["https://openalex.org/I66958751"]},{"raw_affiliation_string":"Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, MA 02543-1535, USA","institution_ids":["https://openalex.org/I66958751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66958751"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"994","last_page":"999"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13885","display_name":"Geophysics and Sensor Technology","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/identifier","display_name":"Identifier","score":0.8922706842422485},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.7711240649223328},{"id":"https://openalex.org/keywords/rotor","display_name":"Rotor (electric)","score":0.6205746531486511},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.5726315379142761},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.555778980255127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5307790040969849},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5210896730422974},{"id":"https://openalex.org/keywords/rigid-body","display_name":"Rigid body","score":0.5002710819244385},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4569249153137207},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4523497521877289},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44134238362312317},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4103803336620331},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4102531671524048},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39644965529441833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35565993189811707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3070847988128662},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24156224727630615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2317097783088684},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.1430804431438446},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13614067435264587},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11223262548446655},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08214825391769409}],"concepts":[{"id":"https://openalex.org/C154504017","wikidata":"https://www.wikidata.org/wiki/Q853614","display_name":"Identifier","level":2,"score":0.8922706842422485},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.7711240649223328},{"id":"https://openalex.org/C17281054","wikidata":"https://www.wikidata.org/wiki/Q193466","display_name":"Rotor (electric)","level":2,"score":0.6205746531486511},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.5726315379142761},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.555778980255127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5307790040969849},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5210896730422974},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.5002710819244385},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4569249153137207},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4523497521877289},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44134238362312317},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4103803336620331},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4102531671524048},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39644965529441833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35565993189811707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3070847988128662},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24156224727630615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2317097783088684},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.1430804431438446},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13614067435264587},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11223262548446655},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08214825391769409},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icra.2011.5980519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icra.2011.5980519","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Robotics and Automation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1033550578","https://openalex.org/W1502308290","https://openalex.org/W1545855501","https://openalex.org/W1564897360","https://openalex.org/W1569812177","https://openalex.org/W1595823061","https://openalex.org/W1985807403","https://openalex.org/W1988874269","https://openalex.org/W2045682702","https://openalex.org/W2062576967","https://openalex.org/W2116021467","https://openalex.org/W2116865153","https://openalex.org/W2126842969","https://openalex.org/W2128019145","https://openalex.org/W2140428171","https://openalex.org/W3008422510","https://openalex.org/W3217246742","https://openalex.org/W4285719527","https://openalex.org/W6626860320","https://openalex.org/W6629917956","https://openalex.org/W6632551992"],"related_works":["https://openalex.org/W4394650907","https://openalex.org/W4378651134","https://openalex.org/W154364797","https://openalex.org/W2964290513","https://openalex.org/W4254119641","https://openalex.org/W1482404553","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W2099589526"],"abstract_inverted_index":{"This":[0,20],"paper":[1],"uses":[2],"rotors":[3],"in":[4],"Geometric":[5],"Algebra":[6],"to":[7,24,48],"formulate":[8],"a":[9,35],"stable":[10],"adaptive":[11],"identifier":[12,21],"on":[13,40],"the":[14,26,50,53],"group":[15],"of":[16,52],"rigid":[17],"body":[18],"rotations.":[19],"is":[22,46],"intended":[23],"estimate":[25],"alignment":[27],"offsets":[28],"between":[29],"independent":[30],"sensors.":[31],"The":[32],"approach":[33],"provides":[34],"straightforward":[36],"geometric":[37],"interpretation":[38],"based":[39],"first-order":[41],"rotor":[42],"kinematics.":[43],"Lyapunov":[44],"theory":[45],"used":[47],"prove":[49],"stability":[51],"identifier,":[54],"and":[55,62],"numerical":[56],"simulations":[57],"illustrate":[58],"its":[59],"behavior":[60],"with":[61],"without":[63],"measurement":[64],"noise.":[65]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}