{"id":"https://openalex.org/W4412673777","doi":"https://doi.org/10.1145/3731216","title":"Feature-Aligned Parametrization in Penner Coordinates","display_name":"Feature-Aligned Parametrization in Penner Coordinates","publication_year":2025,"publication_date":"2025-07-27","ids":{"openalex":"https://openalex.org/W4412673777","doi":"https://doi.org/10.1145/3731216"},"language":"en","primary_location":{"id":"doi:10.1145/3731216","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731216","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3731216","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055272399","display_name":"Ryan Capouellez","orcid":"https://orcid.org/0000-0002-1907-0135"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ryan Capouellez","raw_affiliation_strings":["New York University, New York, USA"],"raw_orcid":"https://orcid.org/0000-0002-1907-0135","affiliations":[{"raw_affiliation_string":"New York University, New York, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038822338","display_name":"R. Singh","orcid":"https://orcid.org/0009-0000-0636-9691"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rodrigo Singh","raw_affiliation_strings":["New York University, New York, USA"],"raw_orcid":"https://orcid.org/0009-0000-0636-9691","affiliations":[{"raw_affiliation_string":"New York University, New York, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015865826","display_name":"Martin Heistermann","orcid":"https://orcid.org/0000-0002-1757-7661"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Martin Heistermann","raw_affiliation_strings":["University of Bern, Bern, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-1757-7661","affiliations":[{"raw_affiliation_string":"University of Bern, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025431763","display_name":"David Bommes","orcid":"https://orcid.org/0000-0002-3190-1341"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"David Bommes","raw_affiliation_strings":["University of Bern, Bern, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-3190-1341","affiliations":[{"raw_affiliation_string":"University of Bern, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061986862","display_name":"Denis Zorin","orcid":"https://orcid.org/0000-0001-7733-5501"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Denis Zorin","raw_affiliation_strings":["New York University, New York, USA"],"raw_orcid":"https://orcid.org/0000-0001-7733-5501","affiliations":[{"raw_affiliation_string":"New York University, New York, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8209,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69882832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"44","issue":"4","first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9987999796867371,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9983000159263611,"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/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.8735330104827881},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.6799898147583008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5290169715881348},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.39772000908851624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33766600489616394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3352726697921753},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3208044767379761},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07169708609580994},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0675610899925232}],"concepts":[{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.8735330104827881},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.6799898147583008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5290169715881348},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.39772000908851624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33766600489616394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3352726697921753},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3208044767379761},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07169708609580994},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0675610899925232},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3731216","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731216","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3731216","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731216","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2478433298","display_name":null,"funder_award_id":"853343","funder_id":"https://openalex.org/F4320338453","funder_display_name":"HORIZON EUROPE European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338453","display_name":"HORIZON EUROPE European Research Council","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1973730326","https://openalex.org/W1990120195","https://openalex.org/W1997290951","https://openalex.org/W2073696569","https://openalex.org/W2076159000","https://openalex.org/W2088265483","https://openalex.org/W2100829795","https://openalex.org/W2124014126","https://openalex.org/W2129412583","https://openalex.org/W2143897237","https://openalex.org/W2736383202","https://openalex.org/W2738480155","https://openalex.org/W2809944305","https://openalex.org/W2811074360","https://openalex.org/W2962889517","https://openalex.org/W2965555515","https://openalex.org/W2971636899","https://openalex.org/W3048473624","https://openalex.org/W3155662375","https://openalex.org/W3183420711","https://openalex.org/W3184924404","https://openalex.org/W3186151312","https://openalex.org/W3202969107","https://openalex.org/W4241602464","https://openalex.org/W4246041266","https://openalex.org/W4286611325","https://openalex.org/W4299672679","https://openalex.org/W4378549040","https://openalex.org/W4385282889","https://openalex.org/W4389334828","https://openalex.org/W4400819017"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2153421756","https://openalex.org/W2054489697","https://openalex.org/W2077818434","https://openalex.org/W2361081803","https://openalex.org/W2036241269","https://openalex.org/W2109057766","https://openalex.org/W4250375811","https://openalex.org/W2078644396","https://openalex.org/W2026930022"],"abstract_inverted_index":{"Parametrization":[0],"is":[1,14,56],"a":[2,17,63,69,87,92,179],"key":[3],"element":[4],"of":[5,36,72,119,160],"many":[6,21],"geometric":[7],"modeling":[8],"tasks.":[9],"Seamless":[10,43],"parametrization,":[11],"in":[12,50,53],"particular,":[13],"needed":[15],"as":[16,30,32],"starting":[18],"point":[19],"for":[20,23,33,62,68,79,123,173],"algorithms":[22],"quadrangulation":[24],"and":[25,40,177,211,220],"conversion":[26],"to":[27,47,85,140,145,150,163,182],"high-order":[28],"patches,":[29],"well":[31],"the":[34,116,147,156,198,204,212,223],"construction":[35],"seamless":[37,161,214],"texture":[38],"maps":[39],"displacement":[41],"maps.":[42],"parametrizations":[44,162,215],"are":[45,121,193],"difficult":[46],"compute":[48],"robustly,":[49],"part":[51],"because,":[52],"general,":[54],"it":[55],"not":[57,104],"known":[58],"if":[59],"one":[60],"exists":[61],"given":[64],"mesh":[65,225],"connectivity":[66,80],"or":[67,109,187],"particular":[70],"configuration":[71],"singularities.":[73],"Recently,":[74],"Penner-coordinate-based":[75],"methods":[76,102],"that":[77,197],"allow":[78],"changes":[81],"have":[82],"been":[83],"shown":[84],"achieve":[86],"perfect":[88],"success":[89],"rate":[90],"on":[91,115,203],"widely":[93],"used":[94],"dataset":[95,206],"(Thingi10k).":[96],"However,":[97],"previously":[98],"proposed":[99],"Penner":[100,138],"coordinate":[101],"do":[103],"support":[105],"sharp":[106,131,143],"feature":[107,167,185,209],"alignment":[108,111],"soft":[110],"with":[112,130,142,165,207],"preferred":[113],"directions":[114],"surface,":[117],"both":[118],"which":[120,146],"important":[122],"practical":[124],"applications,":[125],"especially":[126],"those":[127],"involving":[128],"models":[129],"features.":[132],"In":[133],"this":[134],"paper,":[135],"we":[136],"extend":[137],"coordinates":[139],"surfaces":[141,164],"features":[144],"parametrization":[148],"needs":[149],"be":[151,217],"aligned.":[152],"Our":[153],"algorithm":[154,200],"extends":[155],"holonomy":[157],"signature":[158],"description":[159],"marked":[166],"curves.":[168],"We":[169,195],"describe":[170,178],"sufficient":[171],"conditions":[172],"obtaining":[174],"feasible":[175],"solutions":[176,192],"two-phase":[180],"method":[181],"efficiently":[183],"enforce":[184],"constraints":[186],"minimize":[188],"residual":[189],"errors":[190],"when":[191],"unattainable.":[194],"demonstrate":[196],"resulting":[199,213],"works":[201],"robustly":[202],"Thingi10k":[205],"automatic":[208],"labeling,":[210],"can":[216],"optimized,":[218],"quantized,":[219],"quadrangulated,":[221],"completing":[222],"quad":[224],"generation":[226],"pipeline.":[227]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
