{"id":"https://openalex.org/W4240714960","doi":"https://doi.org/10.1109/pccga.2004.1348370","title":"Accurate minkowski sum approximation of polyhedral models","display_name":"Accurate minkowski sum approximation of polyhedral models","publication_year":2004,"publication_date":"2004-11-08","ids":{"openalex":"https://openalex.org/W4240714960","doi":"https://doi.org/10.1109/pccga.2004.1348370"},"language":"en","primary_location":{"id":"doi:10.1109/pccga.2004.1348370","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pccga.2004.1348370","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings.","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/A5031222275","display_name":"Gokul Varadhan","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. Varadhan","raw_affiliation_strings":["North Carolina State University, Chapel Hill, USA"],"affiliations":[{"raw_affiliation_string":"North Carolina State University, Chapel Hill, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"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/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Manocha","raw_affiliation_strings":["North Carolina State University, Chapel Hill, USA"],"affiliations":[{"raw_affiliation_string":"North Carolina State University, Chapel Hill, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031222275"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":1.0931,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.81091079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"392","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9991999864578247,"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/minkowski-addition","display_name":"Minkowski addition","score":0.7702327966690063},{"id":"https://openalex.org/keywords/isosurface","display_name":"Isosurface","score":0.610595166683197},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5880283713340759},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.5828052759170532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5186949968338013},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49150311946868896},{"id":"https://openalex.org/keywords/medial-axis","display_name":"Medial axis","score":0.47689583897590637},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.429232656955719},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.4204694628715515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3759165406227112},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2060682475566864},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16942128539085388},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14140862226486206},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.10737711191177368}],"concepts":[{"id":"https://openalex.org/C10233890","wikidata":"https://www.wikidata.org/wiki/Q1322294","display_name":"Minkowski addition","level":3,"score":0.7702327966690063},{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.610595166683197},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5880283713340759},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.5828052759170532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5186949968338013},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49150311946868896},{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.47689583897590637},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.429232656955719},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.4204694628715515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3759165406227112},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2060682475566864},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16942128539085388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14140862226486206},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.10737711191177368}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pccga.2004.1348370","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pccga.2004.1348370","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W24265348","https://openalex.org/W1606274783","https://openalex.org/W1830651273","https://openalex.org/W1965045116","https://openalex.org/W1982773511","https://openalex.org/W1983379779","https://openalex.org/W1999134477","https://openalex.org/W2000196545","https://openalex.org/W2041955598","https://openalex.org/W2043152949","https://openalex.org/W2058211699","https://openalex.org/W2083426207","https://openalex.org/W2100196192","https://openalex.org/W2113525359","https://openalex.org/W2130642806","https://openalex.org/W2150500908","https://openalex.org/W2154965507","https://openalex.org/W2159946601","https://openalex.org/W2164741953","https://openalex.org/W2202770087","https://openalex.org/W2249773824","https://openalex.org/W2987281013","https://openalex.org/W4233857083","https://openalex.org/W6636123347","https://openalex.org/W6644542330"],"related_works":["https://openalex.org/W2286777929","https://openalex.org/W2950428426","https://openalex.org/W4293050169","https://openalex.org/W960999769","https://openalex.org/W4309277470","https://openalex.org/W2936973291","https://openalex.org/W4288372977","https://openalex.org/W4211088175","https://openalex.org/W4313413682","https://openalex.org/W2949317807"],"abstract_inverted_index":{"We":[0,31,84,103,117,141],"present":[1],"an":[2,86,100],"algorithm":[3,14,59,89,129],"to":[4,133],"approximate":[5,32],"the":[6,16,33,44,52,58,64,67,82,109,113,126],"3D":[7,147],"Minkowski":[8,25,115],"sum":[9],"of":[10,57,66],"polyhedral":[11,17],"objects.":[12],"Our":[13,128],"decomposes":[15],"objects":[18],"into":[19],"convex":[20,24],"pieces,":[21],"generates":[22],"pairwise":[23],"sums":[26],"and":[27,47,135,156],"computes":[28],"their":[29],"union.":[30],"union":[34],"by":[35,63,94],"generating":[36,95],"a":[37,96,120],"voxel":[38],"grid,":[39],"computing":[40],"signed":[41],"distance":[42,53,123],"on":[43,125,138],"grid":[45,98],"points":[46],"performing":[48],"isosurface":[49],"extraction":[50],"from":[51],"field.":[54],"The":[55],"accuracy":[56],"is":[60,130],"mainly":[61],"governed":[62],"resolution":[65,72],"underlying":[68],"volumetric":[69,97],"grid.":[70],"Insufficient":[71],"can":[73],"result":[74],"in":[75,81],"unwanted":[76],"handles":[77],"or":[78],"disconnected":[79],"components":[80],"approximation.":[83,127],"use":[85],"adaptive":[87],"subdivision":[88],"that":[90,105],"overcomes":[91],"these":[92],"problems":[93],"at":[99],"appropriate":[101],"resolution.":[102],"guarantee":[104],"our":[106],"approximation":[107],"has":[108],"same":[110],"topology":[111],"as":[112],"exact":[114,146],"sum.":[116],"also":[118],"provide":[119],"two-sided":[121],"Hausdorff":[122],"bound":[124],"relatively":[131],"simple":[132],"implement":[134],"works":[136],"well":[137],"complex":[139],"models.":[140],"have":[142],"used":[143],"it":[144],"for":[145],"translation":[148],"motion":[149],"planning,":[150],"offset":[151],"computation,":[152],"mathematical":[153],"morphological":[154],"operations":[155],"bounded-error":[157],"penetration":[158],"depth":[159],"estimation.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
