{"id":"https://openalex.org/W7124421653","doi":"https://doi.org/10.48550/arxiv.2601.09939","title":"A Level Set Method on Particle Flow Maps","display_name":"A Level Set Method on Particle Flow Maps","publication_year":2026,"publication_date":"2026-01-14","ids":{"openalex":"https://openalex.org/W7124421653","doi":"https://doi.org/10.48550/arxiv.2601.09939"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.09939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.09939","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.2601.09939","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123180072","display_name":"Jinjin He","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Jinjin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101664487","display_name":"Taiyuan Zhang","orcid":"https://orcid.org/0000-0002-7395-5372"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Taiyuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035437235","display_name":"Zhiqi Li","orcid":"https://orcid.org/0000-0003-2537-2487"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Zhiqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123234330","display_name":"Junwei Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Junwei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051528046","display_name":"Duowen Chen","orcid":"https://orcid.org/0009-0002-6833-6312"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Duowen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5123243073","display_name":"Bo Zhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Bo","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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.4066999852657318,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.4066999852657318,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.33070001006126404,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.09369999915361404,"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/level-set","display_name":"Level set (data structures)","score":0.6304000020027161},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5940999984741211},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5760999917984009},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5649999976158142},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5644999742507935},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5444999933242798},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.5259000062942505},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.4449000060558319},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.397599995136261}],"concepts":[{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.6304000020027161},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5967000126838684},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5940999984741211},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5760999917984009},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5649999976158142},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5644999742507935},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5444999933242798},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.5259000062942505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.478300005197525},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4449000060558319},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.397599995136261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3749000132083893},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.37470000982284546},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.37400001287460327},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.3057999908924103},{"id":"https://openalex.org/C115051666","wikidata":"https://www.wikidata.org/wiki/Q6522493","display_name":"Ranging","level":2,"score":0.30149999260902405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2955999970436096},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.295199990272522},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2906999886035919},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2822999954223633},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C25902001","wikidata":"https://www.wikidata.org/wiki/Q1024820","display_name":"Flow map","level":3,"score":0.27889999747276306},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.26930001378059387},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26080000400543213},{"id":"https://openalex.org/C2985957023","wikidata":"https://www.wikidata.org/wiki/Q17105191","display_name":"Particle flow","level":3,"score":0.25609999895095825},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.2540999948978424}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.09939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.09939","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.2601.09939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.09939","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/11","score":0.6701940894126892,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,26,40,52,58,112,144],"Particle":[4],"Flow":[5],"Map":[6],"Level":[7],"Set":[8],"(PFM-LS)":[9],"method":[10],"for":[11,83,93],"high-fidelity":[12],"interface":[13],"tracking.":[14],"We":[15,109],"store":[16],"level-set":[17,149],"values,":[18],"gradients,":[19,86],"and":[20,54,68,85,131,140],"Hessians":[21],"on":[22],"particles":[23],"concentrated":[24],"in":[25,129],"narrow":[27,107],"band":[28],"around":[29],"the":[30,47,94,106,124],"interface,":[31],"advecting":[32],"them":[33],"via":[34],"bidirectional":[35],"flow":[36],"maps":[37,82,92],"while":[38,122],"using":[39],"conventional":[41],"grid-based":[42],"representation":[43],"elsewhere.":[44],"By":[45],"interpreting":[46],"level":[48],"set":[49],"value":[50],"as":[51,57],"3-form":[53],"its":[55],"gradient":[56],"1-form,":[59],"PFM-LS":[60,135],"achieves":[61,136],"exceptional":[62],"geometric":[63],"fidelity":[64,142],"during":[65],"complex":[66],"deformations":[67],"preserves":[69,119],"sub-grid":[70],"features":[71,121],"that":[72,101,118,134],"traditional":[73],"methods":[74],"cannot":[75],"capture.":[76],"Our":[77],"dual-timescale":[78],"approach":[79],"utilizes":[80],"long-range":[81],"values":[84],"with":[87],"frequent":[88],"reinitialization":[89],"of":[90,147],"short-range":[91],"distortion-sensitive":[95],"Hessian,":[96],"alongside":[97],"adaptive":[98],"particle":[99],"control":[100],"maintains":[102],"sufficient":[103],"density":[104],"within":[105],"band.":[108],"also":[110],"develop":[111],"hybrid":[113],"particle-grid":[114],"quasi-Newton":[115],"redistancing":[116],"scheme":[117],"fine-scale":[120],"enforcing":[123],"signed-distance":[125],"property.":[126],"Benchmark":[127],"comparisons":[128],"2D":[130],"3D":[132],"demonstrate":[133],"state-of-the-art":[137],"volume":[138],"preservation":[139],"shape":[141],"against":[143],"broad":[145],"range":[146],"existing":[148],"methods.":[150]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-01-17T00:00:00"}
