{"id":"https://openalex.org/W2042353183","doi":"https://doi.org/10.1145/1060244.1060250","title":"Homotopy-preserving medial axis simplification","display_name":"Homotopy-preserving medial axis simplification","publication_year":2005,"publication_date":"2005-06-13","ids":{"openalex":"https://openalex.org/W2042353183","doi":"https://doi.org/10.1145/1060244.1060250","mag":"2042353183"},"language":"en","primary_location":{"id":"doi:10.1145/1060244.1060250","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1060244.1060250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 ACM symposium on Solid and physical modeling","raw_type":"proceedings-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/A5111938444","display_name":"Avneesh Sud","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Avneesh Sud","raw_affiliation_strings":["University of North Carolina at Chapel Hill"],"affiliations":[{"raw_affiliation_string":"University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001480498","display_name":"Mark Foskey","orcid":"https://orcid.org/0000-0001-5703-6328"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Foskey","raw_affiliation_strings":["University of North Carolina at Chapel Hill"],"affiliations":[{"raw_affiliation_string":"University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004194238","display_name":"Dinesh Manocha","orcid":"https://orcid.org/0000-0001-7047-9801"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dinesh Manocha","raw_affiliation_strings":["University of North Carolina at Chapel Hill"],"affiliations":[{"raw_affiliation_string":"University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111938444"],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":null,"apc_paid":null,"fwci":2.6557,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.90294725,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994000196456909,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/medial-axis","display_name":"Medial axis","score":0.9806649684906006},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5452963709831238},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.52458256483078},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5219535231590271},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.50468909740448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4886992275714874},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45239394903182983},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.447065144777298},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4398695230484009},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.389178991317749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35385024547576904},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3521450161933899},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22621724009513855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21501556038856506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12515601515769958}],"concepts":[{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.9806649684906006},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5452963709831238},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.52458256483078},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5219535231590271},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.50468909740448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4886992275714874},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45239394903182983},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.447065144777298},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4398695230484009},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.389178991317749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35385024547576904},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3521450161933899},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22621724009513855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21501556038856506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12515601515769958},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1060244.1060250","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1060244.1060250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 ACM symposium on Solid and physical modeling","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.8299999833106995,"display_name":"Life below water"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320337655","display_name":"Research, Development and Engineering Command","ror":"https://ror.org/02rdkx920"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338485","display_name":"DOD Prostate Cancer Research Program","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W60804756","https://openalex.org/W1481521171","https://openalex.org/W1550394468","https://openalex.org/W1570514300","https://openalex.org/W1966159541","https://openalex.org/W1996012503","https://openalex.org/W2004644355","https://openalex.org/W2020065037","https://openalex.org/W2023308494","https://openalex.org/W2024335283","https://openalex.org/W2030999497","https://openalex.org/W2032238293","https://openalex.org/W2041489862","https://openalex.org/W2049800082","https://openalex.org/W2070308679","https://openalex.org/W2071392933","https://openalex.org/W2072356217","https://openalex.org/W2077246452","https://openalex.org/W2077976550","https://openalex.org/W2078402113","https://openalex.org/W2079017595","https://openalex.org/W2083732234","https://openalex.org/W2089906676","https://openalex.org/W2098715728","https://openalex.org/W2104477372","https://openalex.org/W2115308555","https://openalex.org/W2117370000","https://openalex.org/W2141835663","https://openalex.org/W2142876311","https://openalex.org/W2153850637","https://openalex.org/W2155067269","https://openalex.org/W2155441094","https://openalex.org/W2158008371","https://openalex.org/W2163387321","https://openalex.org/W2172431334","https://openalex.org/W3107709063","https://openalex.org/W3140944241","https://openalex.org/W3159914786","https://openalex.org/W4256625838"],"related_works":["https://openalex.org/W2051997380","https://openalex.org/W2541311741","https://openalex.org/W2269935213","https://openalex.org/W4231619797","https://openalex.org/W2039081484","https://openalex.org/W2083732234","https://openalex.org/W2112871239","https://openalex.org/W1972383663","https://openalex.org/W2116251909","https://openalex.org/W1984178488"],"abstract_inverted_index":{"We":[0,54,102,143],"present":[1,103],"a":[2,7,12,62,75,104,150],"novel":[3],"algorithm":[4,16,28,131,147],"to":[5,18,68,148],"compute":[6,149],"simplified":[8,42,151],"medial":[9,24,36,43,52,66,82,88,112,152],"axis":[10,37,44,67,83,89,113,153],"of":[11,22,33,77,80,107,110,126,135,154,159,161],"polyhedron.":[13],"Our":[14,129],"simplification":[15,130],"tends":[17],"remove":[19],"unstable":[20],"features":[21],"Blum's":[23,51],"axis.":[25,53],"Moreover,":[26],"our":[27],"preserves":[29],"the":[30,34,41,46,56,65,72,78,81,85,97,111,120,123,136,146],"topological":[31],"structure":[32],"original":[35],"and":[38,100,118,163],"ensures":[39],"that":[40,95],"has":[45],"same":[47],"homotopy":[48],"type":[49],"as":[50,74],"use":[55],"separation":[57,116],"angle":[58],"formed":[59],"by":[60],"connecting":[61],"point":[63],"on":[64,71,115,139],"closest":[69],"points":[70],"boundary":[73],"measure":[76,106],"stability":[79,105,124],"at":[84],"point.":[86],"The":[87],"is":[90],"decomposed":[91],"into":[92],"its":[93],"parts":[94,137],"are":[96],"sheets,":[98],"seams":[99],"junctions.":[101],"each":[108],"part":[109],"based":[114,138],"angles":[117],"examine":[119],"relation":[121],"between":[122],"measures":[125],"adjacent":[127],"parts.":[128],"uses":[132],"iterative":[133],"pruning":[134],"efficient":[140],"local":[141],"tests.":[142],"have":[144],"applied":[145],"complex":[155,164],"models":[156],"with":[157],"tens":[158],"thousands":[160],"triangles":[162],"topologies.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
