{"id":"https://openalex.org/W2044666931","doi":"https://doi.org/10.1145/1618452.1618462","title":"A GPU Laplacian solver for diffusion curves and Poisson image editing","display_name":"A GPU Laplacian solver for diffusion curves and Poisson image editing","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2044666931","doi":"https://doi.org/10.1145/1618452.1618462","mag":"2044666931"},"language":"en","primary_location":{"id":"doi:10.1145/1618452.1618462","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1618452.1618462","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5067096277","display_name":"Stefan Jeschke","orcid":"https://orcid.org/0000-0003-4330-8884"},"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":"Stefan Jeschke","raw_affiliation_strings":["Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008522968","display_name":"David Cline","orcid":"https://orcid.org/0000-0002-2144-9371"},"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":"David Cline","raw_affiliation_strings":["Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076768552","display_name":"Peter Wonka","orcid":"https://orcid.org/0000-0003-0627-9746"},"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":"Peter Wonka","raw_affiliation_strings":["Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":19.0218,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.99169054,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"28","issue":"5","first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9991999864578247,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9973999857902527,"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/solver","display_name":"Solver","score":0.7623991370201111},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6297970414161682},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.5204418301582336},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.5026993751525879},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.44750887155532837},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4375606179237366},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.42469578981399536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3929859399795532},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3752712905406952},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3265811502933502},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.31581366062164307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.312314510345459},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22047385573387146},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.18175354599952698},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17163750529289246}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7623991370201111},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6297970414161682},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.5204418301582336},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5026993751525879},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.44750887155532837},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4375606179237366},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.42469578981399536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3929859399795532},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3752712905406952},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3265811502933502},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.31581366062164307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.312314510345459},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22047385573387146},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.18175354599952698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17163750529289246},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1618452.1618462","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1618452.1618462","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life below water","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1978074269","https://openalex.org/W1980789236","https://openalex.org/W2009907735","https://openalex.org/W2010049217","https://openalex.org/W2038825728","https://openalex.org/W2046891849","https://openalex.org/W2061702899","https://openalex.org/W2069934462","https://openalex.org/W2070604790","https://openalex.org/W2129932661","https://openalex.org/W2131429735","https://openalex.org/W2137940676","https://openalex.org/W2154118576","https://openalex.org/W2154503237","https://openalex.org/W2232710831","https://openalex.org/W2763753778","https://openalex.org/W2997095758","https://openalex.org/W2997945685","https://openalex.org/W3138294193","https://openalex.org/W4239119184"],"related_works":["https://openalex.org/W3105129168","https://openalex.org/W4316371992","https://openalex.org/W2186216222","https://openalex.org/W2392765154","https://openalex.org/W2564509292","https://openalex.org/W2014327818","https://openalex.org/W1409194387","https://openalex.org/W61888946","https://openalex.org/W2106610492","https://openalex.org/W4285741164"],"abstract_inverted_index":{"We":[0,62,104,127],"present":[1,123],"a":[2,10,32,44,50],"new":[3],"Laplacian":[4],"solver":[5,55,66,118],"for":[6,94,131],"minimal":[7,59],"surfaces---surfaces":[8],"having":[9],"mean":[11],"curvature":[12],"of":[13,107,137],"zero":[14],"everywhere":[15],"except":[16],"at":[17,77],"some":[18],"fixed":[19],"(Dirichlet)":[20],"boundary":[21,39],"conditions.":[22],"Our":[23],"solution":[24],"has":[25],"two":[26],"main":[27],"contributions:":[28],"First,":[29],"we":[30,48],"provide":[31],"robust":[33,108],"rasterization":[34,115],"technique":[35],"to":[36,43,68,89],"transform":[37],"continuous":[38],"values":[40],"(diffusion":[41],"curves)":[42],"discrete":[45],"domain.":[46],"Second,":[47],"define":[49],"variable":[51],"stencil":[52],"size":[53],"diffusion":[54,109,117],"that":[56,64,74],"solves":[57],"the":[58,65,69,120],"surface":[60],"problem.":[61],"prove":[63],"converges":[67],"right":[70],"solution,":[71],"and":[72,116,135],"demonstrate":[73],"it":[75],"is":[76],"least":[78],"as":[79,81,98,100],"fast":[80],"commonly":[82],"proposed":[83],"multigrid":[84],"solvers,":[85],"but":[86],"much":[87],"simpler":[88],"implement.":[90],"It":[91],"also":[92,128],"works":[93],"arbitrary":[95],"image":[96,139],"resolutions,":[97],"well":[99],"8":[101],"bit":[102],"data.":[103],"show":[105,129],"examples":[106],"curve":[110,114],"rendering":[111],"where":[112],"our":[113],"eliminate":[119],"strobing":[121],"artifacts":[122],"in":[124],"previous":[125],"methods.":[126],"results":[130],"real-time":[132],"seamless":[133],"cloning":[134],"stitching":[136],"large":[138],"panoramas.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":6}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
