{"id":"https://openalex.org/W2343559818","doi":"https://doi.org/10.5220/0005714300370047","title":"Re-parameterization of a Deformation Model for Non-rigid Registration","display_name":"Re-parameterization of a Deformation Model for Non-rigid Registration","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2343559818","doi":"https://doi.org/10.5220/0005714300370047","mag":"2343559818"},"language":"en","primary_location":{"id":"doi:10.5220/0005714300370047","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0005714300370047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications","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/A5018857257","display_name":"Van-Toan Cao","orcid":"https://orcid.org/0000-0002-5792-6993"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Van-Toan Cao","raw_affiliation_strings":["Faculty of Science and Engineering and Laval University, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering and Laval University, Canada","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085089552","display_name":"Trung-Thien Tran","orcid":"https://orcid.org/0000-0001-8301-048X"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Trung-Thien Tran","raw_affiliation_strings":["Faculty of Science and Engineering and Laval University, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering and Laval University, Canada","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090585779","display_name":"Denis Laurendeau","orcid":"https://orcid.org/0000-0003-2858-5955"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Denis Laurendeau","raw_affiliation_strings":["Faculty of Science and Engineering and Laval University, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering and Laval University, Canada","institution_ids":["https://openalex.org/I43406934"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018857257"],"corresponding_institution_ids":["https://openalex.org/I43406934"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03038578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9994000196456909,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/affine-transformation","display_name":"Affine transformation","score":0.7422150373458862},{"id":"https://openalex.org/keywords/rigid-transformation","display_name":"Rigid transformation","score":0.7370080947875977},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.6208149194717407},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5883374214172363},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.572606086730957},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.5566043257713318},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"Rotation matrix","score":0.5303837656974792},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.5025491714477539},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4967120289802551},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48581767082214355},{"id":"https://openalex.org/keywords/unit-vector","display_name":"Unit vector","score":0.48499009013175964},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.43022894859313965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3929991126060486},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36179494857788086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3384765386581421},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.30319440364837646},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.14266139268875122},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11480486392974854}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7422150373458862},{"id":"https://openalex.org/C126795593","wikidata":"https://www.wikidata.org/wiki/Q7333813","display_name":"Rigid transformation","level":2,"score":0.7370080947875977},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.6208149194717407},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5883374214172363},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.572606086730957},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5566043257713318},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.5303837656974792},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.5025491714477539},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4967120289802551},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48581767082214355},{"id":"https://openalex.org/C84316537","wikidata":"https://www.wikidata.org/wiki/Q36255","display_name":"Unit vector","level":2,"score":0.48499009013175964},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.43022894859313965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3929991126060486},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36179494857788086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3384765386581421},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.30319440364837646},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.14266139268875122},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11480486392974854},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5220/0005714300370047","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0005714300370047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications","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":28,"referenced_works":["https://openalex.org/W1599364786","https://openalex.org/W1917711508","https://openalex.org/W1938204631","https://openalex.org/W1943647525","https://openalex.org/W1977259876","https://openalex.org/W1985290145","https://openalex.org/W1986652603","https://openalex.org/W1995601900","https://openalex.org/W1998664500","https://openalex.org/W2001358217","https://openalex.org/W2026935851","https://openalex.org/W2035735676","https://openalex.org/W2040436296","https://openalex.org/W2042843908","https://openalex.org/W2047947369","https://openalex.org/W2075402943","https://openalex.org/W2097196392","https://openalex.org/W2098466221","https://openalex.org/W2099011563","https://openalex.org/W2106715340","https://openalex.org/W2121535648","https://openalex.org/W2122025115","https://openalex.org/W2123487031","https://openalex.org/W2134236847","https://openalex.org/W2150190641","https://openalex.org/W2153487529","https://openalex.org/W2168722300","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2388930076","https://openalex.org/W2091132606","https://openalex.org/W2511668269","https://openalex.org/W2106549822","https://openalex.org/W4220867898","https://openalex.org/W2612835386","https://openalex.org/W1544024058","https://openalex.org/W2613206230","https://openalex.org/W2052334218","https://openalex.org/W4285335655"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,58],"present":[4],"a":[5,25,60,70,74],"method":[6,13,129],"for":[7,62],"non-rigid":[8],"registration":[9],"of":[10,65,81,102,126,134],"meshes.":[11],"The":[12,32],"aligns":[14],"two":[15,55,147],"surfaces":[16,133],"of\r\n\r\ndeformable":[17],"objects":[18],"by":[19,37,43,106,130],"automatically":[20],"separating":[21],"the":[22,39,66,95,100,109,117,124,127,132,143,146],"deformation":[23,40,67,144],"into":[24],"single":[26],"global":[27],"transformation":[28],"and":[29,73,94,116,140],"other\r\n\r\nlocal":[30],"deformations.":[31],"local":[33],"deformations":[34],"are":[35,84],"found":[36],"applying":[38],"model":[41],"proposed":[42,128],"Sumner\r\n\r\n(Sumner":[44],"et":[45],"al.,":[46],"2007)":[47],"that":[48],"previous":[49],"methods":[50],"have":[51],"used":[52],"to":[53,108],"register":[54],"surfaces.":[56,148],"However,":[57],"specify":[59],"rigid\r\n\r\ntransformation":[61],"each":[63],"node":[64],"graph":[68],"using":[69,86],"rotation":[71,82],"matrix":[72],"translation":[75],"vector.":[76],"With\r\n\r\nthis":[77],"model,":[78],"unit":[79,92],"quaternions":[80],"matrices":[83],"paramterized":[85],"an":[87],"homeomorphic":[88],"relation":[89],"between\r\n\r\nthe":[90],"4D":[91],"sphere":[93],"3D":[96],"projective":[97],"space.":[98],"Therefore,":[99],"number":[101],"unknowns":[103],"is":[104,120],"reduced":[105],"half\r\n\r\ncompared":[107],"original":[110],"models":[111],"based":[112],"on":[113],"affine":[114],"transformations":[115],"optimization":[118],"process":[119],"less":[121],"complex.\r\n\r\nWe":[122],"demonstrate":[123],"efficiency":[125],"aligning":[131],"data":[135],"sets":[136],"without":[137],"any":[138],"prior\r\n\r\nknowledge":[139],"assumptions":[141],"about":[142],"between":[145]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}