{"id":"https://openalex.org/W4389335116","doi":"https://doi.org/10.1145/3618407","title":"Efficient Cone Singularity Construction for Conformal Parameterizations","display_name":"Efficient Cone Singularity Construction for Conformal Parameterizations","publication_year":2023,"publication_date":"2023-12-05","ids":{"openalex":"https://openalex.org/W4389335116","doi":"https://doi.org/10.1145/3618407"},"language":"en","primary_location":{"id":"doi:10.1145/3618407","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3618407","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/A5111201916","display_name":"Mo Li","orcid":null},"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":"Mo Li","raw_affiliation_strings":["University of Science and Technology of China, China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059433215","display_name":"Qing Fang","orcid":"https://orcid.org/0000-0001-7934-6060"},"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":"Qing Fang","raw_affiliation_strings":["University of Science and Technology of China, China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101670052","display_name":"Zheng Zhang","orcid":"https://orcid.org/0000-0002-1924-0421"},"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":"Zheng Zhang","raw_affiliation_strings":["University of Science and Technology of China, China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100635702","display_name":"Ligang Liu","orcid":"https://orcid.org/0000-0003-4352-1431"},"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":"Ligang Liu","raw_affiliation_strings":["University of Science and Technology of China, China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","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":false,"raw_author_name":"Xiao-Ming Fu","raw_affiliation_strings":["University of Science and Technology of China, China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5111201916"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.8707,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69637312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"42","issue":"6","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9901999831199646,"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/bounded-function","display_name":"Bounded function","score":0.7450612187385559},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.6653326153755188},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6561837792396545},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6408191323280334},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5430201888084412},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5244505405426025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4921264052391052},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.47204503417015076},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.46836674213409424},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4555938243865967},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45344075560569763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.392526239156723},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38856184482574463},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28635960817337036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27167797088623047}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7450612187385559},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.6653326153755188},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6561837792396545},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6408191323280334},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5430201888084412},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5244505405426025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4921264052391052},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.47204503417015076},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.46836674213409424},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4555938243865967},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45344075560569763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.392526239156723},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38856184482574463},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28635960817337036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27167797088623047},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"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:10.1145/3618407","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3618407","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":[{"id":"https://metadata.un.org/sdg/11","score":0.7300000190734863,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3982839280","display_name":null,"funder_award_id":"2022YFB3303400","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7450213759","display_name":null,"funder_award_id":"62272429, 62025207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1498500832","https://openalex.org/W1516415680","https://openalex.org/W1553761880","https://openalex.org/W1988770238","https://openalex.org/W1990120195","https://openalex.org/W2015774454","https://openalex.org/W2015846372","https://openalex.org/W2016342610","https://openalex.org/W2016413885","https://openalex.org/W2054607036","https://openalex.org/W2079804759","https://openalex.org/W2089024363","https://openalex.org/W2103827262","https://openalex.org/W2104232537","https://openalex.org/W2121934905","https://openalex.org/W2124404145","https://openalex.org/W2132488183","https://openalex.org/W2142586112","https://openalex.org/W2143897237","https://openalex.org/W2491155384","https://openalex.org/W2607599593","https://openalex.org/W2746836818","https://openalex.org/W2804065713","https://openalex.org/W2809930642","https://openalex.org/W2810836866","https://openalex.org/W2811074360","https://openalex.org/W2811262308","https://openalex.org/W2963145016","https://openalex.org/W2975607047","https://openalex.org/W3000211808","https://openalex.org/W3021308399","https://openalex.org/W3043113236","https://openalex.org/W3124421169","https://openalex.org/W4200093672","https://openalex.org/W4241087722","https://openalex.org/W4243755239","https://openalex.org/W4286611277","https://openalex.org/W4381198688","https://openalex.org/W4385289540"],"related_works":["https://openalex.org/W2726339783","https://openalex.org/W2095039895","https://openalex.org/W3100214892","https://openalex.org/W2022135995","https://openalex.org/W1668363177","https://openalex.org/W4302011306","https://openalex.org/W2022448890","https://openalex.org/W2963052782","https://openalex.org/W1966148554","https://openalex.org/W2148110192"],"abstract_inverted_index":{"We":[0],"propose":[1],"an":[2,86],"efficient":[3],"method":[4],"to":[5,17,27],"construct":[6],"sparse":[7,43],"cone":[8],"singularities":[9],"under":[10],"distortion-bounded":[11,54],"constraints":[12],"for":[13,30,96],"conformal":[14],"parameterizations.":[15],"Central":[16],"our":[18,68],"algorithm":[19],"is":[20],"using":[21],"the":[22,35,41,53,81,97],"technique":[23],"of":[24,37,67,89,100],"shape":[25],"derivatives":[26],"move":[28,58],"cones":[29,59,95],"distortion":[31],"reduction":[32],"without":[33],"changing":[34],"number":[36],"cones.":[38,62],"In":[39],"particular,":[40],"supernodal":[42],"Cholesky":[44],"update":[45],"significantly":[46],"accelerates":[47],"this":[48],"movement":[49],"process.":[50],"To":[51],"satisfy":[52],"constraint,":[55],"we":[56,84],"alternately":[57],"and":[60,65,92],"add":[61],"The":[63],"capability":[64],"feasibility":[66],"approach":[69],"are":[70],"demonstrated":[71],"over":[72],"a":[73],"data":[74],"set":[75],"containing":[76],"3885":[77],"models.":[78],"Compared":[79],"with":[80],"state-of-the-art":[82],"method,":[83],"achieve":[85],"average":[87],"acceleration":[88],"15":[90],"times":[91],"slightly":[93],"fewer":[94],"same":[98],"amount":[99],"distortion.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-06T13:50:29.536080","created_date":"2025-10-10T00:00:00"}