{"id":"https://openalex.org/W4239420033","doi":"https://doi.org/10.1109/icpr.2004.1334088","title":"Estimating rigid motions via the conformal model of Euclidean space","display_name":"Estimating rigid motions via the conformal model of Euclidean space","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W4239420033","doi":"https://doi.org/10.1109/icpr.2004.1334088"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2004.1334088","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2004.1334088","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":"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/A5053205713","display_name":"D. Tweed","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"D. Tweed","raw_affiliation_strings":["Institute Perception, Action & Behaviour, Department of Informatics, Edinburgh University, UK"],"affiliations":[{"raw_affiliation_string":"Institute Perception, Action & Behaviour, Department of Informatics, Edinburgh University, UK","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053205713"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":null,"apc_paid":null,"fwci":0.7607,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65736607,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"171","last_page":"174 Vol.2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9990000128746033,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9975000023841858,"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/conformal-map","display_name":"Conformal map","score":0.7959136962890625},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.7745943665504456},{"id":"https://openalex.org/keywords/rigid-transformation","display_name":"Rigid transformation","score":0.6271032691001892},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6024665832519531},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5431896448135376},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.536604106426239},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5336720943450928},{"id":"https://openalex.org/keywords/euclidean-distance-matrix","display_name":"Euclidean distance matrix","score":0.5269297361373901},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4983513355255127},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.49756506085395813},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.47972479462623596},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.4435940682888031},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4428035616874695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42659008502960205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42303410172462463},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3682909905910492},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31479310989379883},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24681493639945984}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7959136962890625},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.7745943665504456},{"id":"https://openalex.org/C126795593","wikidata":"https://www.wikidata.org/wiki/Q7333813","display_name":"Rigid transformation","level":2,"score":0.6271032691001892},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6024665832519531},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5431896448135376},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.536604106426239},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5336720943450928},{"id":"https://openalex.org/C171558263","wikidata":"https://www.wikidata.org/wiki/Q5406122","display_name":"Euclidean distance matrix","level":3,"score":0.5269297361373901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4983513355255127},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.49756506085395813},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.47972479462623596},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.4435940682888031},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4428035616874695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42659008502960205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42303410172462463},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3682909905910492},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31479310989379883},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24681493639945984},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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.2004.1334088","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2004.1334088","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W122875470","https://openalex.org/W571624185","https://openalex.org/W631193014","https://openalex.org/W1483307070","https://openalex.org/W1557571532","https://openalex.org/W2057069782","https://openalex.org/W2094493012","https://openalex.org/W2103710030","https://openalex.org/W2144573889","https://openalex.org/W2492400030","https://openalex.org/W3021282624","https://openalex.org/W4239420033"],"related_works":["https://openalex.org/W4294328694","https://openalex.org/W2908582041","https://openalex.org/W2389652943","https://openalex.org/W2129888254","https://openalex.org/W4229699757","https://openalex.org/W2033213447","https://openalex.org/W2369008545","https://openalex.org/W2105228010","https://openalex.org/W2047725887","https://openalex.org/W4239420033"],"abstract_inverted_index":{"Estimating":[0],"rigid":[1],"motions":[2],"from":[3],"3-D":[4],"point":[5],"correspondences":[6],"and":[7],"image":[8],"projections":[9],"is":[10],"an":[11,32,44],"important":[12],"computer":[13],"vision":[14],"problem.":[15],"We":[16,30],"present":[17],"a":[18],"novel":[19],"estimation":[20],"algorithm":[21],"using":[22,43],"the":[23,38],"recent":[24],"conformal":[25],"model":[26],"of":[27],"Euclidean":[28],"space.":[29],"derive":[31],"origin":[33],"independent":[34],"semi-closed":[35],"form":[36],"for":[37],"optimal":[39],"transformation,":[40],"solving":[41],"it":[42],"SVD-based":[45],"technique.":[46]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}