{"id":"https://openalex.org/W2468102300","doi":"https://doi.org/10.1145/2897824.2925938","title":"Erosion thickness on medial axes of 3D shapes","display_name":"Erosion thickness on medial axes of 3D shapes","publication_year":2016,"publication_date":"2016-07-11","ids":{"openalex":"https://openalex.org/W2468102300","doi":"https://doi.org/10.1145/2897824.2925938","mag":"2468102300"},"language":"en","primary_location":{"id":"doi:10.1145/2897824.2925938","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897824.2925938","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/A5101327393","display_name":"Yajie Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yajie Yan","raw_affiliation_strings":["Washington Univ. in St. Louis"],"affiliations":[{"raw_affiliation_string":"Washington Univ. in St. Louis","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044760910","display_name":"Kyle A. Sykes","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kyle Sykes","raw_affiliation_strings":["St. Louis Univ"],"affiliations":[{"raw_affiliation_string":"St. Louis Univ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011219239","display_name":"Erin Wolf Chambers","orcid":"https://orcid.org/0000-0001-8333-3676"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Erin Chambers","raw_affiliation_strings":["St. Louis Univ"],"affiliations":[{"raw_affiliation_string":"St. Louis Univ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067789390","display_name":"David Letscher","orcid":"https://orcid.org/0000-0002-1375-9994"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Letscher","raw_affiliation_strings":["St. Louis Univ"],"affiliations":[{"raw_affiliation_string":"St. Louis Univ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101952408","display_name":"Tao Ju","orcid":"https://orcid.org/0000-0002-1848-1012"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Ju","raw_affiliation_strings":["Washington Univ. in St. Louis"],"affiliations":[{"raw_affiliation_string":"Washington Univ. in St. Louis","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101327393"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":4.9926,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.95215859,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"35","issue":"4","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9991000294685364,"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":0.9991000294685364,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9930999875068665,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9919000267982483,"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":0.9593909382820129},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6975926160812378},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.5878844261169434},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5540668368339539},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5473359823226929},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.524355411529541},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.489581435918808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46912384033203125},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4304393529891968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43004310131073},{"id":"https://openalex.org/keywords/erosion","display_name":"Erosion","score":0.4122842848300934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37558212876319885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3149935007095337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20404541492462158},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12458673119544983},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0869666039943695}],"concepts":[{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.9593909382820129},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6975926160812378},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.5878844261169434},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5540668368339539},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5473359823226929},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.524355411529541},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.489581435918808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46912384033203125},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4304393529891968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43004310131073},{"id":"https://openalex.org/C123157820","wikidata":"https://www.wikidata.org/wiki/Q80026","display_name":"Erosion","level":2,"score":0.4122842848300934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37558212876319885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3149935007095337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20404541492462158},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12458673119544983},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0869666039943695},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2897824.2925938","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897824.2925938","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W96629785","https://openalex.org/W146847939","https://openalex.org/W1563961677","https://openalex.org/W1570514300","https://openalex.org/W1575139267","https://openalex.org/W1753211532","https://openalex.org/W1826313674","https://openalex.org/W1846523717","https://openalex.org/W1907960329","https://openalex.org/W1977276706","https://openalex.org/W1981784948","https://openalex.org/W1986218493","https://openalex.org/W1986615808","https://openalex.org/W2011347427","https://openalex.org/W2020065037","https://openalex.org/W2032238293","https://openalex.org/W2037162618","https://openalex.org/W2037656964","https://openalex.org/W2042353183","https://openalex.org/W2042864201","https://openalex.org/W2055645774","https://openalex.org/W2061036838","https://openalex.org/W2065654035","https://openalex.org/W2070308679","https://openalex.org/W2072019354","https://openalex.org/W2080751646","https://openalex.org/W2082628694","https://openalex.org/W2083732234","https://openalex.org/W2097823352","https://openalex.org/W2104907335","https://openalex.org/W2120132970","https://openalex.org/W2123577201","https://openalex.org/W2125949583","https://openalex.org/W2134313450","https://openalex.org/W2135942529","https://openalex.org/W2138905090","https://openalex.org/W2141835663","https://openalex.org/W2143931888","https://openalex.org/W2155067269","https://openalex.org/W2159584837","https://openalex.org/W2172431334","https://openalex.org/W2270381286","https://openalex.org/W2339234205","https://openalex.org/W2346033130","https://openalex.org/W2516421667","https://openalex.org/W3125178117","https://openalex.org/W3126317422","https://openalex.org/W4231900699","https://openalex.org/W4253716310","https://openalex.org/W6606080994"],"related_works":["https://openalex.org/W2907088218","https://openalex.org/W2051997380","https://openalex.org/W2541311741","https://openalex.org/W2269935213","https://openalex.org/W2057456086","https://openalex.org/W2568929922","https://openalex.org/W2065654035","https://openalex.org/W2013888270","https://openalex.org/W2011341522","https://openalex.org/W2014895678"],"abstract_inverted_index":{"While":[0],"playing":[1],"a":[2,60,102],"fundamental":[3],"role":[4],"in":[5,66,87,114,140],"shape":[6,121],"understanding,":[7],"the":[8,23,40,54,68,75,136],"medial":[9,24,41,76,105],"axis":[10,25],"is":[11,125],"known":[12],"to":[13,16,52,128],"be":[14],"sensitive":[15],"small":[17,116],"boundary":[18,117],"perturbations.":[19],"Methods":[20],"for":[21],"pruning":[22],"are":[26,46],"usually":[27],"guided":[28],"by":[29],"some":[30],"measure":[31,63,73],"of":[32,36,43,56,78,85,138,147],"significance.":[33],"The":[34],"majority":[35],"significance":[37,62],"measures":[38,113],"over":[39,74],"axes":[42,77],"3D":[44,67,148],"shapes":[45],"locally":[47],"defined":[48],"and":[49,92,123,144],"hence":[50],"unable":[51],"capture":[53],"scale":[55],"features.":[57],"We":[58,81,134],"introduce":[59],"global":[61,132],"that":[64,109],"generalizes":[65],"classical":[69],"Erosion":[70],"Thickness":[71],"(ET)":[72],"2D":[79],"shapes.":[80,149],"give":[82],"precise":[83],"definition":[84],"ET":[86,110,139],"3D,":[88],"analyze":[89],"its":[90],"properties,":[91],"present":[93],"an":[94],"efficient":[95],"approximation":[96],"algorithm":[97],"with":[98],"bounded":[99],"error":[100],"on":[101],"piece-wise":[103],"linear":[104],"axis.":[106],"Experiments":[107],"showed":[108],"outperforms":[111],"local":[112],"differentiating":[115],"noise":[118],"from":[119],"prominent":[120],"features,":[122],"it":[124],"significantly":[126],"faster":[127],"compute":[129],"than":[130],"existing":[131],"measures.":[133],"demonstrate":[135],"utility":[137],"extracting":[141],"clean,":[142],"shape-revealing":[143],"topology-preserving":[145],"skeletons":[146]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}