{"id":"https://openalex.org/W3024528115","doi":"https://doi.org/10.1109/wacv45572.2020.9093265","title":"Two-Grid Preconditioned Solver for Bundle Adjustment","display_name":"Two-Grid Preconditioned Solver for Bundle Adjustment","publication_year":2020,"publication_date":"2020-03-01","ids":{"openalex":"https://openalex.org/W3024528115","doi":"https://doi.org/10.1109/wacv45572.2020.9093265","mag":"3024528115"},"language":"en","primary_location":{"id":"doi:10.1109/wacv45572.2020.9093265","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wacv45572.2020.9093265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Winter Conference on Applications of Computer Vision (WACV)","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/A5091819282","display_name":"Siddhant Katyan","orcid":null},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Siddhant Katyan","raw_affiliation_strings":["International Institute of Information Technology, Hyderabad"],"affiliations":[{"raw_affiliation_string":"International Institute of Information Technology, Hyderabad","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023259943","display_name":"Shrutimoy Das","orcid":null},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shrutimoy Das","raw_affiliation_strings":["International Institute of Information Technology, Hyderabad"],"affiliations":[{"raw_affiliation_string":"International Institute of Information Technology, Hyderabad","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067384528","display_name":"Pawan Kumar","orcid":"https://orcid.org/0000-0001-5632-6964"},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pawan Kumar","raw_affiliation_strings":["International Institute of Information Technology, Hyderabad"],"affiliations":[{"raw_affiliation_string":"International Institute of Information Technology, Hyderabad","institution_ids":["https://openalex.org/I64189192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091819282"],"corresponding_institution_ids":["https://openalex.org/I64189192"],"apc_list":null,"apc_paid":null,"fwci":2.4161,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88763155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3588","last_page":"3595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9984999895095825,"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":0.9984999895095825,"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/T10531","display_name":"Advanced Vision and Imaging","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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9958999752998352,"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/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.7685986757278442},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7441815137863159},{"id":"https://openalex.org/keywords/bundle-adjustment","display_name":"Bundle adjustment","score":0.6031619310379028},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.5668738484382629},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5339818000793457},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5203532576560974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5173008441925049},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.48515090346336365},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4753044545650482},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47472795844078064},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4611544609069824},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.45269328355789185},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4312751889228821},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.40416476130485535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3862444758415222},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12303614616394043},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08640789985656738},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07968544960021973}],"concepts":[{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.7685986757278442},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7441815137863159},{"id":"https://openalex.org/C179458375","wikidata":"https://www.wikidata.org/wiki/Q1020763","display_name":"Bundle adjustment","level":3,"score":0.6031619310379028},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.5668738484382629},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5339818000793457},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5203532576560974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5173008441925049},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.48515090346336365},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4753044545650482},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47472795844078064},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4611544609069824},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.45269328355789185},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4312751889228821},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.40416476130485535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3862444758415222},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12303614616394043},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08640789985656738},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07968544960021973},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wacv45572.2020.9093265","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wacv45572.2020.9093265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Winter Conference on Applications of Computer Vision (WACV)","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":50,"referenced_works":["https://openalex.org/W145691285","https://openalex.org/W147998453","https://openalex.org/W349087979","https://openalex.org/W1484371059","https://openalex.org/W1506342804","https://openalex.org/W1548589512","https://openalex.org/W1669374329","https://openalex.org/W1874298837","https://openalex.org/W1977061454","https://openalex.org/W1981908221","https://openalex.org/W2001790138","https://openalex.org/W2017085690","https://openalex.org/W2044262951","https://openalex.org/W2048349268","https://openalex.org/W2052579356","https://openalex.org/W2056458921","https://openalex.org/W2063955637","https://openalex.org/W2087070363","https://openalex.org/W2099443716","https://openalex.org/W2100388501","https://openalex.org/W2102481828","https://openalex.org/W2110274481","https://openalex.org/W2124313187","https://openalex.org/W2129201358","https://openalex.org/W2132820324","https://openalex.org/W2133192850","https://openalex.org/W2140153041","https://openalex.org/W2151317657","https://openalex.org/W2156539155","https://openalex.org/W2156598602","https://openalex.org/W2160972224","https://openalex.org/W2162947735","https://openalex.org/W2167512083","https://openalex.org/W2170392325","https://openalex.org/W2256578114","https://openalex.org/W2296279693","https://openalex.org/W2471962767","https://openalex.org/W2536680313","https://openalex.org/W3105210974","https://openalex.org/W4213384572","https://openalex.org/W4230055019","https://openalex.org/W4250530934","https://openalex.org/W4312258136","https://openalex.org/W6611892259","https://openalex.org/W6629250111","https://openalex.org/W6630354094","https://openalex.org/W6678941962","https://openalex.org/W6684286390","https://openalex.org/W6697640024","https://openalex.org/W6785800006"],"related_works":["https://openalex.org/W3157581606","https://openalex.org/W2113830538","https://openalex.org/W2385105452","https://openalex.org/W2091702533","https://openalex.org/W2034237012","https://openalex.org/W2118830201","https://openalex.org/W2137797529","https://openalex.org/W2109920203","https://openalex.org/W4320490673","https://openalex.org/W3000446122"],"abstract_inverted_index":{"We":[0,136],"present":[1],"the":[2,19,37,53,60,68,78,89,105,112,132,139,147],"design":[3],"and":[4,14,150],"implementation":[5],"of":[6,52,59,76,85,107],"Two-Grid":[7],"Preconditioned":[8],"Bundle":[9,29],"Adjustment":[10],"(TPBA),":[11],"a":[12,41,74,99,116,129],"robust":[13],"efficient":[15],"technique":[16],"for":[17,33,127],"solving":[18,67,128],"non-linear":[20,42],"least":[21,43],"squares":[22,44],"problem":[23,39,45,130],"that":[24,71,115,138],"arises":[25],"in":[26,62,131],"bundle":[27],"adjustment.":[28],"adjustment":[30],"(BA)":[31],"methods":[32],"multi-view":[34],"reconstruction":[35],"formulate":[36],"BA":[38],"as":[40,73],"which":[46,95],"is":[47,96,111,142],"solved":[48],"by":[49],"some":[50],"variant":[51],"traditional":[54],"Levenberg-Marquardt":[55],"(LM)":[56],"algorithm.":[57],"Most":[58],"computation":[61],"LM":[63],"goes":[64],"into":[65],"repeatedly":[66],"normal":[69],"equations":[70,86],"arise":[72],"result":[75],"linearizing":[77],"objective":[79],"function.":[80],"To":[81,104],"solve":[82],"these":[83],"system":[84],"we":[87],"use":[88],"Generalized":[90],"Minimal":[91],"Residual":[92],"(GMRES)":[93],"method,":[94],"preconditioned":[97,153],"using":[98],"deflated":[100,117],"algebraic":[101,118],"two-grid":[102,119],"method.":[103],"best":[106],"our":[108],"knowledge":[109],"this":[110],"first":[113],"time":[114],"preconditioner":[120],"has":[121],"been":[122],"used":[123],"along":[124],"with":[125],"GMRES,":[126],"computer":[133],"vision":[134],"domain.":[135],"show":[137],"proposed":[140],"method":[141,149],"several":[143],"times":[144],"faster":[145],"than":[146],"direct":[148],"block":[151],"Jacobi":[152],"GMRES.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
