{"id":"https://openalex.org/W2032733861","doi":"https://doi.org/10.1145/2461912.2462014","title":"Integer-grid maps for reliable quad meshing","display_name":"Integer-grid maps for reliable quad meshing","publication_year":2013,"publication_date":"2013-07-16","ids":{"openalex":"https://openalex.org/W2032733861","doi":"https://doi.org/10.1145/2461912.2462014","mag":"2032733861"},"language":"en","primary_location":{"id":"doi:10.1145/2461912.2462014","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2461912.2462014","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":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-00862648/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025431763","display_name":"David Bommes","orcid":"https://orcid.org/0000-0002-3190-1341"},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"David Bommes","raw_affiliation_strings":["Inria Sophia Antipolis - M\u00e9diterran\u00e9e","TITANE - Geometric Modeling of 3D Environments (2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) - France)"],"affiliations":[{"raw_affiliation_string":"Inria Sophia Antipolis - M\u00e9diterran\u00e9e","institution_ids":["https://openalex.org/I4210106545"]},{"raw_affiliation_string":"TITANE - Geometric Modeling of 3D Environments (2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074090356","display_name":"Marcel Campen","orcid":"https://orcid.org/0000-0003-2340-3462"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]},{"id":"https://openalex.org/I4210126395","display_name":"Inform (Germany)","ror":"https://ror.org/02x8c2t37","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210126395"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcel Campen","raw_affiliation_strings":["RWTH Aachen University","ACG - Computer Graphics Group (RWTH-Aachen Lehrstuhl f\u00fcr Informatik VIII 52056 Aachen - Germany)"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"ACG - Computer Graphics Group (RWTH-Aachen Lehrstuhl f\u00fcr Informatik VIII 52056 Aachen - Germany)","institution_ids":["https://openalex.org/I887968799","https://openalex.org/I4210126395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010381503","display_name":"Hans\u2010Christian Ebke","orcid":null},"institutions":[{"id":"https://openalex.org/I4210126395","display_name":"Inform (Germany)","ror":"https://ror.org/02x8c2t37","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210126395"]},{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans-Christian Ebke","raw_affiliation_strings":["RWTH Aachen University","ACG - Computer Graphics Group (RWTH-Aachen Lehrstuhl f\u00fcr Informatik VIII 52056 Aachen - Germany)"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"ACG - Computer Graphics Group (RWTH-Aachen Lehrstuhl f\u00fcr Informatik VIII 52056 Aachen - Germany)","institution_ids":["https://openalex.org/I887968799","https://openalex.org/I4210126395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086753450","display_name":"Pierre Alliez","orcid":"https://orcid.org/0000-0002-6214-4005"},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Alliez","raw_affiliation_strings":["Inria Sophia Antipolis - M\u00e9diterran\u00e9e","TITANE - Geometric Modeling of 3D Environments (2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) - France)"],"affiliations":[{"raw_affiliation_string":"Inria Sophia Antipolis - M\u00e9diterran\u00e9e","institution_ids":["https://openalex.org/I4210106545"]},{"raw_affiliation_string":"TITANE - Geometric Modeling of 3D Environments (2004 route des Lucioles BP 93 F-06902 Sophia Antipolis (France) - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036300670","display_name":"Leif Kobbelt","orcid":"https://orcid.org/0000-0002-7880-9470"},"institutions":[{"id":"https://openalex.org/I4210126395","display_name":"Inform (Germany)","ror":"https://ror.org/02x8c2t37","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210126395"]},{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Leif Kobbelt","raw_affiliation_strings":["RWTH Aachen University","ACG - Computer Graphics Group (RWTH-Aachen Lehrstuhl f\u00fcr Informatik VIII 52056 Aachen - Germany)"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"ACG - Computer Graphics Group (RWTH-Aachen Lehrstuhl f\u00fcr Informatik VIII 52056 Aachen - Germany)","institution_ids":["https://openalex.org/I887968799","https://openalex.org/I4210126395"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5025431763"],"corresponding_institution_ids":["https://openalex.org/I4210106545"],"apc_list":null,"apc_paid":null,"fwci":40.631,"has_fulltext":true,"cited_by_count":131,"citation_normalized_percentile":{"value":0.99906513,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"32","issue":"4","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9934999942779541,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/grid","display_name":"Grid","score":0.6070747971534729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5961564779281616},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5868502855300903},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4420890808105469},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.405181884765625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3133750557899475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2536908984184265},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1825595200061798},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.10664314031600952}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6070747971534729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5961564779281616},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5868502855300903},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4420890808105469},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.405181884765625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3133750557899475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2536908984184265},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1825595200061798},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.10664314031600952}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2461912.2462014","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2461912.2462014","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"},{"id":"pmh:oai:HAL:hal-00862648v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00862648","pdf_url":"https://inria.hal.science/hal-00862648/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2013, 32 (4)","raw_type":"Journal articles"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.988.534","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.988.534","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/hal-00862648/document/","raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:233615","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/233615","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM transactions on graphics 32(4), 98 (2013). doi:10.1145/2461912.2462014","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00862648v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00862648","pdf_url":"https://inria.hal.science/hal-00862648/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2013, 32 (4)","raw_type":"Journal articles"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5600000023841858,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1078082316","display_name":null,"funder_award_id":"EXC 89","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5382594694","display_name":null,"funder_award_id":"257474","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G8500119689","display_name":null,"funder_award_id":"DFG EXC 89","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324743","display_name":"Aachener Graduiertenschule f\u00fcr Computergest\u00fctzte Natur- und Ingenieurwissenschaften","ror":null},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2032733861.pdf"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W160600641","https://openalex.org/W179725604","https://openalex.org/W1551383512","https://openalex.org/W1587861032","https://openalex.org/W1621614599","https://openalex.org/W1798731418","https://openalex.org/W1968403482","https://openalex.org/W1975207205","https://openalex.org/W1990120195","https://openalex.org/W1991393198","https://openalex.org/W1999690352","https://openalex.org/W2002899238","https://openalex.org/W2013490367","https://openalex.org/W2015774454","https://openalex.org/W2025390098","https://openalex.org/W2047131312","https://openalex.org/W2050190638","https://openalex.org/W2056255160","https://openalex.org/W2064233581","https://openalex.org/W2067905180","https://openalex.org/W2068834636","https://openalex.org/W2072964342","https://openalex.org/W2076333493","https://openalex.org/W2076702317","https://openalex.org/W2088265483","https://openalex.org/W2088681712","https://openalex.org/W2091749278","https://openalex.org/W2093183648","https://openalex.org/W2098637889","https://openalex.org/W2101362102","https://openalex.org/W2107997516","https://openalex.org/W2109770908","https://openalex.org/W2121769650","https://openalex.org/W2123871098","https://openalex.org/W2131717552","https://openalex.org/W2135170744","https://openalex.org/W2140519038","https://openalex.org/W2149458426","https://openalex.org/W2163507438","https://openalex.org/W2283829853","https://openalex.org/W2295562606","https://openalex.org/W2597874755","https://openalex.org/W3007525489","https://openalex.org/W3031020732","https://openalex.org/W4206225701","https://openalex.org/W4214661162","https://openalex.org/W4232009604","https://openalex.org/W4239416908","https://openalex.org/W4246001026","https://openalex.org/W4247288538"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":{"Quadrilateral":[0],"remeshing":[1],"approaches":[2],"based":[3,216],"on":[4,50],"global":[5,222],"parametrization":[6,215],"enable":[7],"many":[8],"desirable":[9],"mesh":[10,167],"properties.":[11],"Two":[12],"of":[13,33,101,120,155,164,193,203,214],"the":[14,55,94,99,118,150,153,156,161,165,176,181,184,191,201,204,211,221],"most":[15],"important":[16],"ones":[17],"are":[18,107],"(1)":[19],"high":[20],"regularity":[21],"due":[22],"to":[23,71,109,116,123,126,172],"explicit":[24],"control":[25],"over":[26],"irregular":[27],"vertices":[28],"and":[29,64,122,145,168],"(2)":[30],"smooth":[31],"distribution":[32],"distortion":[34],"achieved":[35],"by":[36,91,235],"convex":[37,83],"variational":[38],"formulations.":[39],"Apart":[40],"from":[41,47,160],"these":[42],"strengths,":[43],"state-of-the-art":[44],"techniques":[45],"suffer":[46],"limited":[48],"reliability":[49,202],"real-world":[51],"input":[52,129,162],"data,":[53],"i.e.":[54],"determined":[56],"map":[57,96],"might":[58],"have":[59],"degeneracies":[60],"like":[61],"(local)":[62],"non-injectivities":[63],"consequently":[65],"often":[66],"cannot":[67],"be":[68,124],"used":[69],"directly":[70],"generate":[72],"a":[73,81,111,141,230],"quadrilateral":[74],"mesh.":[75,113],"In":[76,114],"this":[77],"paper":[78],"we":[79,134],"propose":[80,135],"novel":[82],"Mixed-Integer":[84],"Quadratic":[85],"Programming":[86],"(MIQP)":[87],"formulation":[88],"which":[89,187],"ensures":[90],"construction":[92],"that":[93,106,200],"resulting":[95,205],"is":[97,170,188],"within":[98],"class":[100],"so":[102],"called":[103],"Integer-Grid":[104],"Maps":[105],"guaranteed":[108],"imply":[110],"quad":[112,227],"order":[115],"overcome":[117],"NP-hardness":[119],"MIQP":[121,157,195],"able":[125,171],"remesh":[127],"typical":[128],"geometries":[130],"in":[131],"acceptable":[132],"time":[133],"two":[136],"additional":[137],"problem":[138],"specific":[139],"optimizations:":[140],"complexity":[142,163],"reduction":[143],"algorithm":[144,206],"singularity":[146],"separating":[147],"conditions.":[148],"While":[149],"former":[151],"decouples":[152],"dimension":[154],"search":[158,223],"space":[159],"triangle":[166],"thus":[169],"dramatically":[173],"speed":[174],"up":[175],"computation":[177],"without":[178],"inducing":[179],"inaccuracies,":[180],"latter":[182],"improves":[183],"continuous":[185],"relaxation,":[186],"crucial":[189],"for":[190,224],"success":[192],"modern":[194],"optimizers.":[196],"Our":[197],"experiments":[198],"show":[199],"does":[207],"not":[208],"only":[209],"annihilate":[210],"main":[212],"drawback":[213],"quad-remeshing":[217],"but":[218],"moreover":[219],"enables":[220],"high-quality":[225],"coarse":[226],"layouts":[228],"-":[229],"difficult":[231],"task":[232],"solely":[233],"tackled":[234],"greedy":[236],"methodologies":[237],"before.":[238]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":23},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
