{"id":"https://openalex.org/W7128821289","doi":"https://doi.org/10.1145/3795772","title":"Quasi-Medial Distance Field (Q-MDF): A Robust Method for Approximating and Discretizing Neural Medial Axes","display_name":"Quasi-Medial Distance Field (Q-MDF): A Robust Method for Approximating and Discretizing Neural Medial Axes","publication_year":2026,"publication_date":"2026-02-13","ids":{"openalex":"https://openalex.org/W7128821289","doi":"https://doi.org/10.1145/3795772"},"language":"en","primary_location":{"id":"doi:10.1145/3795772","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3795772","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/10.1145/3795772","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jiayi Kong","orcid":"https://orcid.org/0009-0004-6922-2354"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jiayi Kong","raw_affiliation_strings":["College of Computing and Data Science (CCDS), Nanyang Technological University"],"raw_orcid":"https://orcid.org/0009-0004-6922-2354","affiliations":[{"raw_affiliation_string":"College of Computing and Data Science (CCDS), Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Chen Zong","orcid":"https://orcid.org/0000-0003-4954-0780"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Chen Zong","raw_affiliation_strings":["College of Computing and Data Science (CCDS), Nanyang Technological University","School of Mathematics, Nanjing University of Aeronautics and Astronautics"],"raw_orcid":"https://orcid.org/0000-0003-4954-0780","affiliations":[{"raw_affiliation_string":"College of Computing and Data Science (CCDS), Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Mathematics, Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jun Luo","orcid":"https://orcid.org/0000-0002-7036-5158"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jun Luo","raw_affiliation_strings":["College of Computing and Data Science (CCDS), Nanyang Technological University"],"raw_orcid":"https://orcid.org/0000-0002-7036-5158","affiliations":[{"raw_affiliation_string":"College of Computing and Data Science (CCDS), Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shiqing Xin","orcid":"https://orcid.org/0000-0001-8452-8723"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqing Xin","raw_affiliation_strings":["School of Computer Science and Technology, Shandong University"],"raw_orcid":"https://orcid.org/0000-0001-8452-8723","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Shandong University","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Fei Hou","orcid":"https://orcid.org/0000-0001-8226-6635"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Hou","raw_affiliation_strings":["Institute of Software Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0001-8226-6635","affiliations":[{"raw_affiliation_string":"Institute of Software Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210128818"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hanqing Jiang","orcid":"https://orcid.org/0000-0001-9582-5539"},"institutions":[{"id":"https://openalex.org/I4210092218","display_name":"Sensimetrics Corporation","ror":"https://ror.org/00h7y2d26","country_code":"US","type":"company","lineage":["https://openalex.org/I4210092218"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanqing Jiang","raw_affiliation_strings":["SenseTime Research, SenseTime Group"],"raw_orcid":"https://orcid.org/0000-0001-9582-5539","affiliations":[{"raw_affiliation_string":"SenseTime Research, SenseTime Group","institution_ids":["https://openalex.org/I4210092218"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Chen Qian","orcid":"https://orcid.org/0000-0002-8761-5563"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen Qian","raw_affiliation_strings":["SenseTime Group"],"raw_orcid":"https://orcid.org/0000-0002-8761-5563","affiliations":[{"raw_affiliation_string":"SenseTime Group","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Ying He","orcid":"https://orcid.org/0000-0002-6749-4485"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ying He","raw_affiliation_strings":["College of Computing and Data Science (CCDS), Nanyang Technological University"],"raw_orcid":"https://orcid.org/0000-0002-6749-4485","affiliations":[{"raw_affiliation_string":"College of Computing and Data Science (CCDS), Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2348777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"3","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.8729000091552734,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.8729000091552734,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.024399999529123306,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.022600000724196434,"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/medial-axis","display_name":"Medial axis","score":0.9682999849319458},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7200999855995178},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5942999720573425},{"id":"https://openalex.org/keywords/distance-transform","display_name":"Distance transform","score":0.5925999879837036},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.555400013923645},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.4927000105381012},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.47870001196861267}],"concepts":[{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.9682999849319458},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7200999855995178},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5942999720573425},{"id":"https://openalex.org/C73621898","wikidata":"https://www.wikidata.org/wiki/Q2940504","display_name":"Distance transform","level":3,"score":0.5925999879837036},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.555400013923645},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49320000410079956},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.4927000105381012},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.47870001196861267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46129998564720154},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45570001006126404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4551999866962433},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4016999900341034},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.37040001153945923},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.3698999881744385},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3553999960422516},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.3102000057697296},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.2614000141620636},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2538999915122986}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3795772","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3795772","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:10.1145/3795772","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3795772","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/G2739763456","display_name":null,"funder_award_id":"RT19/22","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W150750994","https://openalex.org/W1977276706","https://openalex.org/W1987985833","https://openalex.org/W1992642990","https://openalex.org/W2021563983","https://openalex.org/W2025973801","https://openalex.org/W2038124553","https://openalex.org/W2045823241","https://openalex.org/W2095460038","https://openalex.org/W2097943569","https://openalex.org/W2115920764","https://openalex.org/W2148619227","https://openalex.org/W2178629455","https://openalex.org/W2809774165","https://openalex.org/W2911001378","https://openalex.org/W2929245070","https://openalex.org/W2959004956","https://openalex.org/W2998649743","https://openalex.org/W3022296642","https://openalex.org/W3024451790","https://openalex.org/W4211033840","https://openalex.org/W4311805700","https://openalex.org/W4381051139","https://openalex.org/W4384700587","https://openalex.org/W4400819821","https://openalex.org/W4404525468"],"related_works":[],"abstract_inverted_index":{"The":[0],"medial":[1,27,57,76,93,101,119,142],"axis,":[2],"a":[3,12,40,48,80,111],"lower-dimensional":[4],"descriptor":[5],"that":[6,52,65,131],"captures":[7],"the":[8,26,66,69,75,85,91,118,122,126],"extrinsic":[9],"structure":[10],"of":[11,79,90,125],"shape,":[13],"plays":[14],"an":[15,105],"important":[16],"role":[17],"in":[18,139],"digital":[19],"geometry":[20],"processing.":[21],"Despite":[22],"its":[23],"importance,":[24],"computing":[25],"axis":[28,58,102,120,143],"transform":[29],"robustly":[30],"from":[31,54,145],"diverse":[32],"inputs,":[33],"especially":[34],"point":[35,149],"clouds":[36],"with":[37],"defects,":[38],"remains":[39],"challenging":[41,146],"problem.":[42,108],"In":[43],"this":[44],"article,":[45],"we":[46,116],"propose":[47],"new":[49],"implicit":[50,106],"method":[51,133],"deviates":[53],"traditional":[55],"explicit":[56],"computation.":[59],"Our":[60],"key":[61],"technical":[62],"insight":[63],"is":[64],"difference":[67],"between":[68],"signed":[70],"distance":[71,87],"field":[72,77,88],"(SDF)":[73],"and":[74,137,148],"(MF)":[78],"solid":[81],"shape":[82],"relates":[83],"to":[84,99],"unsigned":[86],"(UDF)":[89],"shape\u2019s":[92],"axis.":[94],"This":[95],"observation":[96],"allows":[97],"us":[98],"formulate":[100],"extraction":[103],"as":[104,121],"reconstruction":[107],"By":[109],"employing":[110],"modified":[112],"double":[113],"covering":[114],"strategy,":[115],"recover":[117],"zero":[123],"level-set":[124],"UDF.":[127],"Extensive":[128],"experiments":[129],"demonstrate":[130],"our":[132],"achieves":[134],"higher":[135],"accuracy":[136],"robustness":[138],"learning":[140],"compact":[141],"transforms":[144],"meshes":[147],"clouds,":[150],"outperforming":[151],"existing":[152],"approaches.":[153]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-07T00:00:00"}