{"id":"https://openalex.org/W4403247921","doi":"https://doi.org/10.1090/mcom/4030","title":"Algebra and geometry of camera resectioning","display_name":"Algebra and geometry of camera resectioning","publication_year":2024,"publication_date":"2024-10-09","ids":{"openalex":"https://openalex.org/W4403247921","doi":"https://doi.org/10.1090/mcom/4030"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4030","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/4030","pdf_url":"https://www.ams.org/journals/mcom/earlyview/mcom4035/mcom4035.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/journals/mcom/earlyview/mcom4035/mcom4035.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015116035","display_name":"Erin Connelly","orcid":"https://orcid.org/0000-0002-6558-441X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Erin Connelly","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059697113","display_name":"Timothy Duff","orcid":"https://orcid.org/0000-0003-2065-6309"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Timothy Duff","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5021814905","display_name":"Jessie Loucks-Tavitas","orcid":"https://orcid.org/0000-0003-3770-7117"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jessie Loucks-Tavitas","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015116035"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17718791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"94","issue":"355","first_page":"2613","last_page":"2643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9269999861717224,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9269999861717224,"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/geometry","display_name":"Geometry","score":0.6254742741584778},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5265117883682251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41772931814193726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37185654044151306},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1986144483089447}],"concepts":[{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6254742741584778},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5265117883682251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41772931814193726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37185654044151306},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1986144483089447}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4030","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/4030","pdf_url":"https://www.ams.org/journals/mcom/earlyview/mcom4035/mcom4035.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/mcom/4030","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/4030","pdf_url":"https://www.ams.org/journals/mcom/earlyview/mcom4035/mcom4035.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403247921.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W29798794","https://openalex.org/W616606718","https://openalex.org/W1488435683","https://openalex.org/W1493150189","https://openalex.org/W1502873045","https://openalex.org/W1608655332","https://openalex.org/W1972746153","https://openalex.org/W1992989752","https://openalex.org/W2075560610","https://openalex.org/W2107069774","https://openalex.org/W2112994534","https://openalex.org/W2124706092","https://openalex.org/W2142270940","https://openalex.org/W2147169432","https://openalex.org/W2524653375","https://openalex.org/W2737777105","https://openalex.org/W2806263336","https://openalex.org/W2939858175","https://openalex.org/W2948877681","https://openalex.org/W2962718211","https://openalex.org/W2963247163","https://openalex.org/W2963573086","https://openalex.org/W2963832467","https://openalex.org/W2981664817","https://openalex.org/W2983462479","https://openalex.org/W2988141667","https://openalex.org/W2999824720","https://openalex.org/W3105903694","https://openalex.org/W3108233911","https://openalex.org/W3159716506","https://openalex.org/W3163789115","https://openalex.org/W3167963608","https://openalex.org/W3194165614","https://openalex.org/W4240837394","https://openalex.org/W4296453866","https://openalex.org/W4316038431","https://openalex.org/W4380086575"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,10,39],"study":[1],"algebraic":[2],"varieties":[3],"associated":[4],"with":[5],"the":[6,45,58,63,73],"camera":[7],"resectioning":[8,13,50,64],"problem.":[9],"characterize":[11],"these":[12],"varieties\u2019":[14],"multigraded":[15],"vanishing":[16],"ideals":[17],"using":[18],"Gr\u00f6bner":[19],"basis":[20],"techniques.":[21],"As":[22],"an":[23],"application,":[24],"we":[25],"derive":[26],"and":[27,51,66],"re-interpret":[28],"celebrated":[29],"results":[30],"in":[31],"geometric":[32],"computer":[33],"vision":[34],"related":[35],"to":[36,72],"camera-point":[37],"duality.":[38],"also":[40],"clarify":[41],"some":[42],"relationships":[43],"between":[44],"classical":[46],"problems":[47],"of":[48,62],"optimal":[49],"triangulation,":[52],"state":[53],"a":[54],"conjectural":[55],"formula":[56],"for":[57],"Euclidean":[59],"distance":[60],"degree":[61],"variety,":[65],"discuss":[67],"how":[68],"this":[69],"conjecture":[70],"relates":[71],"recently-resolved":[74],"multiview":[75],"conjecture.":[76]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}