{"id":"https://openalex.org/W7160938647","doi":"https://doi.org/10.48550/arxiv.2605.09299","title":"LagrangianSplats: Divergence-Free Transport of Gaussian Primitives for Fluid Reconstruction","display_name":"LagrangianSplats: Divergence-Free Transport of Gaussian Primitives for Fluid Reconstruction","publication_year":2026,"publication_date":"2026-05-10","ids":{"openalex":"https://openalex.org/W7160938647","doi":"https://doi.org/10.48550/arxiv.2605.09299"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.09299","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.09299","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.09299","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031633092","display_name":"N. Tao","orcid":"https://orcid.org/0009-0004-3616-4776"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao, Ningxiao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135971643","display_name":"Baoquan Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Baoquan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135993149","display_name":"Mengyu Chu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chu, Mengyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.25999999046325684,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.25999999046325684,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.17569999396800995,"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":0.12849999964237213,"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/advection","display_name":"Advection","score":0.5325999855995178},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5151000022888184},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.5080000162124634},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5023000240325928},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4921000003814697},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.4797999858856201},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.451200008392334},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.43560001254081726},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.42579999566078186}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5521000027656555},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.5325999855995178},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5151000022888184},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.5080000162124634},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5023000240325928},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4921000003814697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4803999960422516},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4797999858856201},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.451200008392334},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.43560001254081726},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.42579999566078186},{"id":"https://openalex.org/C93361087","wikidata":"https://www.wikidata.org/wiki/Q4426698","display_name":"Data consistency","level":2,"score":0.3684000074863434},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.3644999861717224},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.36320000886917114},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3528999984264374},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.35280001163482666},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3393999934196472},{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.33160001039505005},{"id":"https://openalex.org/C2984161354","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid motion","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.305400013923645},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29580000042915344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28040000796318054},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27250000834465027},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.27219998836517334},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.09299","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.09299","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.09299","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.09299","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5227230191230774}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Reconstructing":[0],"3D":[1,74],"fluid":[2,27],"velocity":[3,61],"fields":[4],"from":[5],"sparse":[6],"2D":[7],"video":[8],"observations":[9],"is":[10],"a":[11,48,63,72,98,103],"highly":[12],"ill-posed":[13],"inverse":[14],"problem,":[15],"demanding":[16],"both":[17,54,82,134],"transport":[18,87,135],"consistency":[19,136],"with":[20],"observed":[21],"motion":[22],"and":[23,43,85,123,137,146],"physical":[24,138],"validity":[25],"under":[26],"laws.":[28],"Existing":[29],"methods":[30],"typically":[31],"impose":[32],"these":[33],"constraints":[34],"through":[35],"soft":[36],"penalties,":[37],"often":[38],"leading":[39],"to":[40],"compromised":[41],"accuracy":[42],"convergence":[44],"issues.":[45],"We":[46],"introduce":[47,102],"reconstruction":[49],"framework":[50],"that":[51,108,127],"structurally":[52],"enforces":[53],"constraints.":[55],"Specifically,":[56],"we":[57,101],"parameterize":[58],"the":[59,69,93],"reconstructed":[60],"using":[62],"continuous":[64],"Divergence-Free":[65],"Kernel":[66],"representation,":[67],"driving":[68],"advection":[70],"of":[71,96],"Lagrangian":[73],"Gaussian":[75],"Splatting":[76],"representation.":[77],"This":[78],"formulation":[79],"intrinsically":[80],"guarantees":[81],"flow":[83,147],"incompressibility":[84],"long-range":[86],"coherence":[88],"by":[89],"construction.":[90],"To":[91],"enable":[92],"efficient":[94],"optimization":[95],"such":[97,142],"constrained":[99],"system,":[100],"novel":[104],"Sliding":[105],"Window":[106],"scheme":[107],"propagates":[109],"gradients":[110],"over":[111],"meaningful":[112],"temporal":[113],"horizons":[114],"while":[115],"maintaining":[116],"tractable":[117],"training":[118],"costs.":[119],"Experiments":[120],"on":[121],"synthetic":[122],"real-world":[124],"datasets":[125],"demonstrate":[126],"our":[128],"method":[129],"outperforms":[130],"state-of-the-art":[131],"baselines":[132],"in":[133],"accuracy,":[139],"enabling":[140],"applications":[141],"as":[143],"high-quality":[144],"re-simulation":[145],"analysis.":[148]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-13T00:00:00"}