{"id":"https://openalex.org/W4408543931","doi":"https://doi.org/10.1007/s10915-025-02843-y","title":"Surface Reconstruction From Point Cloud using a Semi-Lagrangian Scheme with Local Interpolator","display_name":"Surface Reconstruction From Point Cloud using a Semi-Lagrangian Scheme with Local Interpolator","publication_year":2025,"publication_date":"2025-03-18","ids":{"openalex":"https://openalex.org/W4408543931","doi":"https://doi.org/10.1007/s10915-025-02843-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-025-02843-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-02843-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-02843-y.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-02843-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109628820","display_name":"Silvia Preda","orcid":"https://orcid.org/0009-0003-8405-2245"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvia Preda","raw_affiliation_strings":["Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100, Como, Italy"],"raw_orcid":"https://orcid.org/0009-0003-8405-2245","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063991804","display_name":"Matteo Semplice","orcid":"https://orcid.org/0000-0002-2398-0828"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Matteo Semplice","raw_affiliation_strings":["Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100, Como, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2398-0828","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109628820"],"corresponding_institution_ids":["https://openalex.org/I115752224"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9739,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68960691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"103","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8271546959877014},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.7041122317314148},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6336557865142822},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5586615800857544},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4971447288990021},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49613985419273376},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.45151805877685547},{"id":"https://openalex.org/keywords/cloud-computing","display_name":"Cloud computing","score":0.42736825346946716},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3977780342102051},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3748941719532013},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32744377851486206},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.20904409885406494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09722048044204712}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8271546959877014},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.7041122317314148},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6336557865142822},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5586615800857544},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4971447288990021},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49613985419273376},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.45151805877685547},{"id":"https://openalex.org/C79974875","wikidata":"https://www.wikidata.org/wiki/Q483639","display_name":"Cloud computing","level":2,"score":0.42736825346946716},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3977780342102051},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3748941719532013},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32744377851486206},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.20904409885406494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09722048044204712},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-025-02843-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-02843-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-02843-y.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2199551","is_oa":true,"landing_page_url":"https://hdl.handle.net/11383/2199551","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10915-025-02843-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-02843-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-02843-y.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408543931.pdf"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W25834326","https://openalex.org/W1540762735","https://openalex.org/W1569090332","https://openalex.org/W1977014593","https://openalex.org/W1977758817","https://openalex.org/W1991113069","https://openalex.org/W1993281803","https://openalex.org/W1999359279","https://openalex.org/W2009166934","https://openalex.org/W2014540832","https://openalex.org/W2021513670","https://openalex.org/W2039150507","https://openalex.org/W2045545335","https://openalex.org/W2049391017","https://openalex.org/W2054320306","https://openalex.org/W2080379317","https://openalex.org/W2085978850","https://openalex.org/W2093834886","https://openalex.org/W2093842327","https://openalex.org/W2101560656","https://openalex.org/W2114998314","https://openalex.org/W2137917541","https://openalex.org/W2145595389","https://openalex.org/W2156519915","https://openalex.org/W2158905481","https://openalex.org/W2163142993","https://openalex.org/W2268832958","https://openalex.org/W2293622223","https://openalex.org/W2366389387","https://openalex.org/W2395010281","https://openalex.org/W2783140440","https://openalex.org/W2917081331","https://openalex.org/W2918053460","https://openalex.org/W2962703271","https://openalex.org/W2963662642","https://openalex.org/W2998115525","https://openalex.org/W3132863460","https://openalex.org/W3133812613","https://openalex.org/W3166638688","https://openalex.org/W3204061476","https://openalex.org/W4200303221","https://openalex.org/W4210840654","https://openalex.org/W4324110675","https://openalex.org/W4362670731","https://openalex.org/W4362717258","https://openalex.org/W4385641424"],"related_works":["https://openalex.org/W2358149864","https://openalex.org/W3133812613","https://openalex.org/W4385921699","https://openalex.org/W2368534456","https://openalex.org/W2027037317","https://openalex.org/W2173552480","https://openalex.org/W2394211896","https://openalex.org/W4280560288","https://openalex.org/W2565180558","https://openalex.org/W4388207179"],"abstract_inverted_index":{"Abstract":[0],"We":[1,23],"propose":[2],"a":[3,25,29,67,105,110,118,123],"level":[4,68],"set":[5,69],"method":[6,95,173],"to":[7,78,117,122,128,168,175,193,207],"reconstruct":[8],"unknown":[9],"surfaces":[10],"from":[11,44],"point":[12,46],"clouds,":[13],"without":[14],"assuming":[15],"that":[16,32,56,181],"the":[17,34,39,42,45,58,73,80,87,90,97,100,130,133,138,142,150,153,158,169,172,176,191,196,209,212,215,218],"connections":[18],"between":[19],"points":[20],"are":[21,205],"known.":[22],"consider":[24],"variational":[26],"formulation":[27],"with":[28,109],"curvature":[30,154],"constraint":[31],"minimizes":[33],"surface":[35,43,63],"area":[36],"weighted":[37],"by":[38,66],"distance":[40,82],"of":[41,60,89,99,132,137,152,160,171,178,211,217,222],"cloud.":[47],"More":[48],"precisely":[49],"we":[50,76,115],"solve":[51],"an":[52,61],"equivalent":[53],"advection\u2013diffusion":[54],"equation":[55],"governs":[57],"evolution":[59],"initial":[62],"described":[64],"implicitly":[65],"function.":[70],"Among":[71],"all":[72],"possible":[74],"representations,":[75],"aim":[77],"compute":[79],"signed":[81],"function":[83],"at":[84],"least":[85],"in":[86,141,147,183,186,200,220],"vicinity":[88],"reconstructed":[91],"surface.":[92],"The":[93],"numerical":[94],"for":[96],"approximation":[98],"solution":[101],"is":[102,144],"based":[103],"on":[104,149,157],"semi-Lagrangian":[106],"scheme":[107],"coupled":[108],"local":[111],"interpolator.":[112],"In":[113],"particular,":[114],"resort":[116],"multi-linear":[119],"interpolator":[120],"and":[121,156,174,189,202,214],"Weighted":[124],"Essentially":[125],"Non-oscillatory":[126],"one,":[127],"improve":[129,195],"accuracy":[131],"reconstruction.":[134],"An":[135],"analysis":[136],"parameters":[139],"employed":[140],"model":[143],"given,":[145],"focusing":[146],"particular":[148],"effect":[151],"regularization,":[155],"presence":[159],"noisy":[161],"data.":[162],"Special":[163],"attention":[164],"has":[165],"been":[166],"paid":[167],"localization":[170],"development":[177],"fast":[179],"algorithms":[180],"run":[182],"parallel,":[184],"resulting":[185],"faster":[187],"reconstruction":[188,213],"thus":[190],"opportunity":[192],"easily":[194],"resolution.":[197],"Numerical":[198],"tests":[199],"two":[201],"three":[203],"dimensions":[204],"presented":[206],"evaluate":[208],"quality":[210],"efficiency":[216],"algorithm":[219],"terms":[221],"computational":[223],"time.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
