{"id":"https://openalex.org/W2379733883","doi":"https://doi.org/10.1109/tpami.2016.2567398","title":"Hyperbolic Harmonic Mapping for Surface Registration","display_name":"Hyperbolic Harmonic Mapping for Surface Registration","publication_year":2016,"publication_date":"2016-05-12","ids":{"openalex":"https://openalex.org/W2379733883","doi":"https://doi.org/10.1109/tpami.2016.2567398","mag":"2379733883","pmid":"https://pubmed.ncbi.nlm.nih.gov/27187948"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2016.2567398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2016.2567398","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5101404387","display_name":"Rui Shi","orcid":"https://orcid.org/0000-0002-7569-9894"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rui Shi","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100660205","display_name":"Wei Zeng","orcid":"https://orcid.org/0000-0002-5600-8824"},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Zeng","raw_affiliation_strings":["School of Computing & Information Sciences, Florida International University, Miami, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing & Information Sciences, Florida International University, Miami, FL","institution_ids":["https://openalex.org/I19700959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102139936","display_name":"Zhengyu Su","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhengyu Su","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066139473","display_name":"Jian Jiang","orcid":"https://orcid.org/0000-0002-4474-5974"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jian Jiang","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113971276","display_name":"Hanna Dam\u00e1sio","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanna Damasio","raw_affiliation_strings":["Neuroscience Department, University of Southern California, Los Angeles, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Neuroscience Department, University of Southern California, Los Angeles, CA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038526411","display_name":"Zhong\u2010Lin Lu","orcid":"https://orcid.org/0000-0002-7295-727X"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhonglin Lu","raw_affiliation_strings":["Department of Psychology, Ohio State University, Columbus, OH"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychology, Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100740828","display_name":"Yalin Wang","orcid":"https://orcid.org/0000-0002-6241-735X"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yalin Wang","raw_affiliation_strings":["School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, Tempe, AZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, Tempe, AZ","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006865040","display_name":"Shing\u2013Tung Yau","orcid":"https://orcid.org/0000-0003-3394-2187"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shing-Tung Yau","raw_affiliation_strings":["Mathematics Department, Harvard University, Cambridge, MA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Harvard University, Cambridge, MA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100607707","display_name":"Xianfeng Gu","orcid":"https://orcid.org/0000-0001-8226-5851"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xianfeng Gu","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3967,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.91512411,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"39","issue":"5","first_page":"965","last_page":"980"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9968000054359436,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9959999918937683,"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/diffeomorphism","display_name":"Diffeomorphism","score":0.8181860446929932},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6235042810440063},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5823493003845215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5645742416381836},{"id":"https://openalex.org/keywords/landmark","display_name":"Landmark","score":0.5301409959793091},{"id":"https://openalex.org/keywords/image-registration","display_name":"Image registration","score":0.5197619795799255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5064092874526978},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.47109919786453247},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4468916356563568},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.42517003417015076},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.42142602801322937},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42103099822998047},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35654574632644653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34422340989112854},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27138710021972656},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1730940043926239},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14753961563110352}],"concepts":[{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.8181860446929932},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6235042810440063},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5823493003845215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5645742416381836},{"id":"https://openalex.org/C2780297707","wikidata":"https://www.wikidata.org/wiki/Q4895393","display_name":"Landmark","level":2,"score":0.5301409959793091},{"id":"https://openalex.org/C166704113","wikidata":"https://www.wikidata.org/wiki/Q861092","display_name":"Image registration","level":3,"score":0.5197619795799255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5064092874526978},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.47109919786453247},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4468916356563568},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.42517003417015076},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.42142602801322937},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42103099822998047},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35654574632644653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34422340989112854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27138710021972656},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1730940043926239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14753961563110352},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tpami.2016.2567398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2016.2567398","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:27187948","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/27187948","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:europepmc.org:4842960","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5107180","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1238402819","display_name":null,"funder_award_id":"RF1 AG051710","funder_id":"https://openalex.org/F4320337337","funder_display_name":"National Institute on Aging"},{"id":"https://openalex.org/G2473785360","display_name":null,"funder_award_id":"R21 AG043760","funder_id":"https://openalex.org/F4320337337","funder_display_name":"National Institute on Aging"},{"id":"https://openalex.org/G2497584317","display_name":null,"funder_award_id":"1016286","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3072498847","display_name":null,"funder_award_id":"N000140910228","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3647641087","display_name":null,"funder_award_id":"1081424","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G7348660372","display_name":null,"funder_award_id":"R21AG043760","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G7568661744","display_name":null,"funder_award_id":"R21 AG049216","funder_id":"https://openalex.org/F4320337337","funder_display_name":"National Institute on Aging"},{"id":"https://openalex.org/G8193741071","display_name":null,"funder_award_id":"1544267","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G8797470706","display_name":null,"funder_award_id":"0916286","funder_id":"https://openalex.org/F4320337389","funder_display_name":"Division of Information and Intelligent Systems"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337337","display_name":"National Institute on Aging","ror":"https://ror.org/049v75w11"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"id":"https://openalex.org/F4320337389","display_name":"Division of Information and Intelligent Systems","ror":"https://ror.org/053a2cp42"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1526694294","https://openalex.org/W1590776313","https://openalex.org/W1819513867","https://openalex.org/W1966714419","https://openalex.org/W1967998939","https://openalex.org/W1970279742","https://openalex.org/W1979013584","https://openalex.org/W1985323327","https://openalex.org/W1987902628","https://openalex.org/W1991405936","https://openalex.org/W1996634174","https://openalex.org/W2000354818","https://openalex.org/W2005356779","https://openalex.org/W2032108387","https://openalex.org/W2037149239","https://openalex.org/W2042246564","https://openalex.org/W2044613963","https://openalex.org/W2046267209","https://openalex.org/W2049981393","https://openalex.org/W2054381235","https://openalex.org/W2067590886","https://openalex.org/W2073431710","https://openalex.org/W2074539907","https://openalex.org/W2075010828","https://openalex.org/W2095986812","https://openalex.org/W2098443654","https://openalex.org/W2098578926","https://openalex.org/W2100792560","https://openalex.org/W2104313947","https://openalex.org/W2105594297","https://openalex.org/W2111949204","https://openalex.org/W2123487031","https://openalex.org/W2127025496","https://openalex.org/W2127033124","https://openalex.org/W2132975746","https://openalex.org/W2134753888","https://openalex.org/W2144570481","https://openalex.org/W2147140280","https://openalex.org/W2148892491","https://openalex.org/W2150771764","https://openalex.org/W2154400678","https://openalex.org/W2158697242","https://openalex.org/W2165308258","https://openalex.org/W2167551186","https://openalex.org/W2170430178","https://openalex.org/W2173758409","https://openalex.org/W2282739418","https://openalex.org/W3006223838","https://openalex.org/W3111937800","https://openalex.org/W4234600220","https://openalex.org/W4255383393","https://openalex.org/W6660945953","https://openalex.org/W6661991920","https://openalex.org/W6675428336","https://openalex.org/W6681626645","https://openalex.org/W7043580417"],"related_works":["https://openalex.org/W2056853153","https://openalex.org/W2057559274","https://openalex.org/W2005087563","https://openalex.org/W2378111931","https://openalex.org/W4243161226","https://openalex.org/W2950647290","https://openalex.org/W2620829895","https://openalex.org/W2356918560","https://openalex.org/W1968481813","https://openalex.org/W2392886708"],"abstract_inverted_index":{"Automatic":[0],"computation":[1],"of":[2],"surface":[3,85,131,168],"correspondence":[4],"via":[5],"harmonic":[6,51,63,93],"map":[7,52,64],"is":[8,95,119],"an":[9],"active":[10],"research":[11],"field":[12],"in":[13,36],"computer":[14,16,138],"vision,":[15],"graphics":[17],"and":[18,25,28,31,40,112,121,140,158],"computational":[19,105],"geometry.":[20],"It":[21],"may":[22],"help":[23],"document":[24],"understand":[26],"physical":[27],"biological":[29],"phenomena":[30],"also":[32],"has":[33,56],"broad":[34],"applications":[35],"biometrics,":[37],"medical":[38,141],"imaging":[39,142],"motion":[41],"capture":[42],"industries.":[43],"Although":[44],"numerous":[45],"studies":[46],"have":[47],"been":[48,57],"devoted":[49],"to":[50,59,86,97,127,136],"research,":[53],"limited":[54],"progress":[55],"made":[58],"compute":[60],"a":[61,87,99],"diffeomorphic":[62,157],"on":[65,82,109],"general":[66,120],"topology":[67],"surfaces":[68],"with":[69,165],"landmark":[70,102],"constraints.":[71,103],"This":[72],"work":[73],"conquers":[74],"this":[75],"problem":[76,133],"by":[77,148],"changing":[78,149],"the":[79,83,92,129,150,153],"Riemannian":[80,151],"metric":[81,89],"target":[84],"hyperbolic":[88],"so":[90],"that":[91],"mapping":[94],"guaranteed":[96],"be":[98],"diffeomorphism":[100],"under":[101],"The":[104,117],"algorithms":[106],"are":[107,155],"based":[108],"Ricci":[110],"flow":[111],"nonlinear":[113],"heat":[114],"diffusion":[115],"methods.":[116],"approach":[118],"robust.":[122],"We":[123],"employ":[124],"our":[125],"algorithm":[126],"study":[128],"constrained":[130],"registration":[132,169],"which":[134],"applies":[135],"both":[137],"vision":[139],"applications.":[143],"Experimental":[144],"results":[145],"demonstrate":[146],"that,":[147],"metric,":[152],"registrations":[154],"always":[156],"achieve":[159],"relatively":[160],"high":[161],"performance":[162],"when":[163],"evaluated":[164],"some":[166],"popular":[167],"evaluation":[170],"standards.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}
