{"id":"https://openalex.org/W4415186411","doi":"https://doi.org/10.1109/3dv69130.2026.00110","title":"Laplace-Beltrami Operator for Gaussian Splatting","display_name":"Laplace-Beltrami Operator for Gaussian Splatting","publication_year":2026,"publication_date":"2026-03-20","ids":{"openalex":"https://openalex.org/W4415186411","doi":"https://doi.org/10.1109/3dv69130.2026.00110"},"language":"en","primary_location":{"id":"doi:10.1109/3dv69130.2026.00110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/3dv69130.2026.00110","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 International Conference on 3D Vision (3DV)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2502.17531","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101553569","display_name":"Hongyu Zhou","orcid":"https://orcid.org/0009-0007-8813-0764"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hongyu Zhou","raw_affiliation_strings":["University of Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028382876","display_name":"Zorah L\u00e4hner","orcid":"https://orcid.org/0000-0003-0599-094X"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Zorah L\u00e4hner","raw_affiliation_strings":["University of Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05574068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1107","last_page":"1116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9031999707221985,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9031999707221985,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6421999931335449},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.6328999996185303},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5049999952316284},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.48159998655319214},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.46779999136924744},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.3758000135421753}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7554000020027161},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6421999931335449},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.6328999996185303},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5049999952316284},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.48159998655319214},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.46779999136924744},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4625000059604645},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.45579999685287476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39800000190734863},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3758000135421753},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3628999888896942},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.35670000314712524},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C79974875","wikidata":"https://www.wikidata.org/wiki/Q483639","display_name":"Cloud computing","level":2,"score":0.25529998540878296},{"id":"https://openalex.org/C65892221","wikidata":"https://www.wikidata.org/wiki/Q1113935","display_name":"Gaussian filter","level":3,"score":0.2533999979496002},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2524000108242035}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/3dv69130.2026.00110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/3dv69130.2026.00110","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 International Conference on 3D Vision (3DV)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2502.17531","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.17531","pdf_url":"https://arxiv.org/pdf/2502.17531","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2502.17531","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.17531","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2502.17531","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.17531","pdf_url":"https://arxiv.org/pdf/2502.17531","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"With":[0],"the":[1,9,18,36,60,83,137,153,159,170,179,189],"rising":[2],"popularity":[3],"of":[4,11,38,77,162],"3D":[5,16],"Gaussian":[6,61,69,112,128,149],"splatting":[7,70,113],"and":[8,175],"expanse":[10],"applications":[12],"from":[13],"rendering":[14,84],"to":[15,26,40,46,72,87,91,135,156,169,178],"reconstruction,":[17],"need":[19,86,190],"for":[20,115,127,158,191],"geometry":[21,97,116,145],"processing":[22,98,117],"methods":[23],"tailored":[24],"directly":[25,110,147],"this":[27,52,101],"representation":[28,193],"becomes":[29],"increasingly":[30],"apparent.":[31],"While":[32],"existing":[33,50],"approaches":[34],"convert":[35],"centers":[37],"Gaussians":[39],"a":[41,74,105,122,133,140,185],"point":[42,171],"cloud":[43,172],"or":[44,63],"mesh":[45],"use":[47,152],"them":[48],"in":[49,59,96,144],"algorithms,":[51],"conversion":[53],"might":[54],"discard":[55],"valuable":[56],"information":[57],"present":[58,104],"parameters":[62],"introduce":[64],"unnecessary":[65],"computational":[66],"overhead.":[67],"Additionally,":[68],"tends":[71],"contain":[73],"large":[75],"number":[76],"outliers":[78],"that,":[79],"while":[80,187],"not":[81,92],"affecting":[82],"quality,":[85],"be":[88],"handled":[89],"correctly":[90],"produce":[93],"noisy":[94],"results":[95],"applications.":[99],"In":[100],"work,":[102],"we":[103],"novel":[106],"framework":[107],"that":[108],"operates":[109],"on":[111,148,184],"representations":[114],"tasks.":[118],"Our":[119,164],"work":[120],"introduces":[121],"graph-based":[123],"outlier":[124],"removal":[125],"designed":[126],"distributions":[129],"as":[130,132],"well":[131],"formulation":[134],"compute":[136],"Laplace-Beltrami":[138],"operator,":[139],"widely":[141],"used":[142],"tool":[143],"processing,":[146],"splatting.":[150],"Both":[151],"Mahalanobis":[154],"distance":[155],"account":[157],"anisotropic":[160],"nature":[161],"Gaussians.":[163],"experiments":[165],"show":[166],"superior":[167],"performance":[168,177],"Laplacian":[173,181],"operator":[174,182],"competitive":[176],"traditional":[180],"computed":[183],"mesh,":[186],"avoiding":[188],"intermediate":[192],"conversion.":[194],"Website:":[195],"zero-4869.github.io/LBO4GS":[196]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-15T00:00:00"}
