{"id":"https://openalex.org/W1997159267","doi":"https://doi.org/10.1145/2661229.2661235","title":"Anisotropic simplicial meshing using local convex functions","display_name":"Anisotropic simplicial meshing using local convex functions","publication_year":2014,"publication_date":"2014-11-18","ids":{"openalex":"https://openalex.org/W1997159267","doi":"https://doi.org/10.1145/2661229.2661235","mag":"1997159267"},"language":"en","primary_location":{"id":"doi:10.1145/2661229.2661235","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2661229.2661235","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/A5000841004","display_name":"Xiao\u2010Ming Fu","orcid":"https://orcid.org/0000-0001-8479-0107"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-Ming Fu","raw_affiliation_strings":["University of Science and Technology of China and Microsoft Research"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China and Microsoft Research","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063685742","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0002-3768-6654"},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]},{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["Microsoft Research","Microsoft research#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft Research","institution_ids":["https://openalex.org/I4210164937"]},{"raw_affiliation_string":"Microsoft research#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105689838","display_name":"John Snyder","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]},{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"John Snyder","raw_affiliation_strings":["Microsoft Research","Microsoft research#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft Research","institution_ids":["https://openalex.org/I4210164937"]},{"raw_affiliation_string":"Microsoft research#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101666011","display_name":"Baining Guo","orcid":"https://orcid.org/0000-0001-8349-8868"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baining Guo","raw_affiliation_strings":["Microsoft Research and University of Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"Microsoft Research and University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000841004"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":4.689,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.94087615,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"6","first_page":"1","last_page":"11"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9958999752998352,"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6893844604492188},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.6194022297859192},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.5448811054229736},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.46950578689575195},{"id":"https://openalex.org/keywords/effective-domain","display_name":"Effective domain","score":0.43728065490722656},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4154527485370636},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.389005571603775},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.32003819942474365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30894389748573303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29999542236328125},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2966725826263428},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.26270145177841187},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.20607605576515198},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1874631941318512},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15306514501571655}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6893844604492188},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.6194022297859192},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.5448811054229736},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.46950578689575195},{"id":"https://openalex.org/C58385900","wikidata":"https://www.wikidata.org/wiki/Q5347254","display_name":"Effective domain","level":5,"score":0.43728065490722656},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4154527485370636},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.389005571603775},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.32003819942474365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30894389748573303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29999542236328125},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2966725826263428},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.26270145177841187},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20607605576515198},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1874631941318512},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15306514501571655},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2661229.2661235","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2661229.2661235","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:CiteSeerX.psu:10.1.1.696.7247","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.7247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.microsoft.com/en-us/um/people/johnsny/papers/anisomesh.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W50718196","https://openalex.org/W120624089","https://openalex.org/W129466529","https://openalex.org/W133762124","https://openalex.org/W1490688156","https://openalex.org/W1500046813","https://openalex.org/W1510384164","https://openalex.org/W1527585400","https://openalex.org/W1541162015","https://openalex.org/W1667637146","https://openalex.org/W1912568406","https://openalex.org/W1977101402","https://openalex.org/W1987809535","https://openalex.org/W1994503685","https://openalex.org/W1994842413","https://openalex.org/W2018964608","https://openalex.org/W2020995339","https://openalex.org/W2021036023","https://openalex.org/W2024403957","https://openalex.org/W2031003742","https://openalex.org/W2031894851","https://openalex.org/W2047767520","https://openalex.org/W2047814385","https://openalex.org/W2061082464","https://openalex.org/W2071415238","https://openalex.org/W2086915142","https://openalex.org/W2088029700","https://openalex.org/W2094831844","https://openalex.org/W2105043586","https://openalex.org/W2114288655","https://openalex.org/W2118818634","https://openalex.org/W2118970948","https://openalex.org/W2129460996","https://openalex.org/W2130814852","https://openalex.org/W2150874139","https://openalex.org/W2162669058","https://openalex.org/W2172006071","https://openalex.org/W2265461003","https://openalex.org/W3144493338","https://openalex.org/W4237410795","https://openalex.org/W4239465939","https://openalex.org/W6792896531"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W2359979928","https://openalex.org/W1704347466","https://openalex.org/W4283017538","https://openalex.org/W2103172627","https://openalex.org/W2265461003","https://openalex.org/W4255770105","https://openalex.org/W1981086091","https://openalex.org/W2390742890","https://openalex.org/W3140291748"],"abstract_inverted_index":{"We":[0,38,92],"present":[1],"a":[2,14,21,40,87,103],"novel":[3],"method":[4,79],"to":[5,33,62,86,99],"generate":[6],"high-quality":[7],"simplicial":[8],"meshes":[9],"with":[10,20],"specified":[11],"anisotropy.":[12],"Given":[13],"surface":[15],"or":[16],"volumetric":[17],"domain":[18],"equipped":[19],"Riemannian":[22,52],"metric":[23],"that":[24],"encodes":[25],"the":[26,31,51,64,67,76],"desired":[27],"anisotropy,":[28],"we":[29],"transform":[30],"problem":[32],"one":[34],"of":[35,105],"functional":[36],"approximation.":[37],"construct":[39],"convex":[41,69],"function":[42],"over":[43,75],"each":[44],"mesh":[45,60],"simplex":[46],"whose":[47],"Hessian":[48],"locally":[49],"matches":[50],"metric,":[53],"and":[54,59,71,84,89,96,107],"iteratively":[55],"adapt":[56],"vertex":[57],"positions":[58],"connectivity":[61],"minimize":[63],"difference":[65],"between":[66],"target":[68],"functions":[70],"their":[72],"piecewise-linear":[73],"interpolation":[74],"mesh.":[77],"Our":[78],"generalizes":[80],"optimal":[81],"Delaunay":[82],"triangulation":[83],"leads":[85],"simple":[88],"efficient":[90],"algorithm.":[91],"demonstrate":[93],"its":[94],"quality":[95],"speed":[97],"compared":[98],"state-of-the-art":[100],"methods":[101],"on":[102],"variety":[104],"domains":[106],"metrics.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
