{"id":"https://openalex.org/W2979348512","doi":"https://doi.org/10.1109/tvcg.2019.2945961","title":"Half-Space Power Diagrams and Discrete Surface Offsets","display_name":"Half-Space Power Diagrams and Discrete Surface Offsets","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2979348512","doi":"https://doi.org/10.1109/tvcg.2019.2945961","mag":"2979348512","pmid":"https://pubmed.ncbi.nlm.nih.gov/31613769"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2019.2945961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2019.2945961","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5108012263","display_name":"Zhen Chen","orcid":"https://orcid.org/0000-0002-0012-4447"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Chen","raw_affiliation_strings":["Mathematics, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-0012-4447","affiliations":[{"raw_affiliation_string":"Mathematics, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046160172","display_name":"Daniele Panozzo","orcid":"https://orcid.org/0000-0003-1183-2454"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"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":"Daniele Panozzo","raw_affiliation_strings":["Computer Science, New York University Courant Institute of Mathematical Sciences, New York, USA"],"raw_orcid":"https://orcid.org/0000-0003-1183-2454","affiliations":[{"raw_affiliation_string":"Computer Science, New York University Courant Institute of Mathematical Sciences, New York, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050779501","display_name":"J\u00e9r\u00e9mie Dumas","orcid":"https://orcid.org/0000-0001-7304-9882"},"institutions":[{"id":"https://openalex.org/I1306409833","display_name":"Adobe Systems (United States)","ror":"https://ror.org/059tvcg64","country_code":"US","type":"company","lineage":["https://openalex.org/I1306409833"]},{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I4210119807","display_name":"New York Oncology Hematology","ror":"https://ror.org/01sr0yp41","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210119807"]},{"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"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeremie Dumas","raw_affiliation_strings":["Adobe Research, Seattle, USA","Computer Science, New York University Courant Institute of Mathematical Sciences, New Yor, USA","nTopology, New York, USA"],"raw_orcid":"https://orcid.org/0000-0001-7304-9882","affiliations":[{"raw_affiliation_string":"Adobe Research, Seattle, USA","institution_ids":["https://openalex.org/I1306409833","https://openalex.org/I58610484"]},{"raw_affiliation_string":"Computer Science, New York University Courant Institute of Mathematical Sciences, New Yor, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"nTopology, New York, USA","institution_ids":["https://openalex.org/I4210119807"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108012263"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":1.3766,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85149765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"10","first_page":"2970","last_page":"2981"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994999766349792,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.7384293079376221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7323983907699585},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6362527012825012},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5816212892532349},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5175313353538513},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5167855024337769},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.4883963465690613},{"id":"https://openalex.org/keywords/discrete-space","display_name":"Discrete space","score":0.4304342269897461},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35515981912612915},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3245616853237152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16485363245010376}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.7384293079376221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7323983907699585},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6362527012825012},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5816212892532349},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5175313353538513},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5167855024337769},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.4883963465690613},{"id":"https://openalex.org/C153782549","wikidata":"https://www.wikidata.org/wiki/Q175116","display_name":"Discrete space","level":2,"score":0.4304342269897461},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35515981912612915},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3245616853237152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16485363245010376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvcg.2019.2945961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2019.2945961","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:31613769","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31613769","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on visualization and computer graphics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1421660364","display_name":null,"funder_award_id":"OAC-1835712","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W126220290","https://openalex.org/W1517229131","https://openalex.org/W1536852470","https://openalex.org/W1631407216","https://openalex.org/W1971471031","https://openalex.org/W1981240885","https://openalex.org/W2018168260","https://openalex.org/W2024395588","https://openalex.org/W2024915064","https://openalex.org/W2028687412","https://openalex.org/W2035140038","https://openalex.org/W2035183661","https://openalex.org/W2035718870","https://openalex.org/W2036524574","https://openalex.org/W2042711481","https://openalex.org/W2045879834","https://openalex.org/W2048475323","https://openalex.org/W2056422961","https://openalex.org/W2059240617","https://openalex.org/W2063598039","https://openalex.org/W2070164574","https://openalex.org/W2074830961","https://openalex.org/W2083477374","https://openalex.org/W2088352159","https://openalex.org/W2089972577","https://openalex.org/W2097620134","https://openalex.org/W2099744236","https://openalex.org/W2103484631","https://openalex.org/W2109828971","https://openalex.org/W2112812291","https://openalex.org/W2116392552","https://openalex.org/W2117442141","https://openalex.org/W2123424922","https://openalex.org/W2126092109","https://openalex.org/W2127794343","https://openalex.org/W2134313450","https://openalex.org/W2134560790","https://openalex.org/W2142495952","https://openalex.org/W2151139361","https://openalex.org/W2158008371","https://openalex.org/W2167420182","https://openalex.org/W2198183381","https://openalex.org/W2295686518","https://openalex.org/W2339234205","https://openalex.org/W2347015060","https://openalex.org/W2468102300","https://openalex.org/W2475322788","https://openalex.org/W2553907263","https://openalex.org/W2554482726","https://openalex.org/W2611761853","https://openalex.org/W2620782653","https://openalex.org/W2738421370","https://openalex.org/W2782907315","https://openalex.org/W2809774165","https://openalex.org/W2811052594","https://openalex.org/W3011711492","https://openalex.org/W4231121233","https://openalex.org/W4249223191","https://openalex.org/W6636716297","https://openalex.org/W6687593382"],"related_works":["https://openalex.org/W4285069850","https://openalex.org/W1974634278","https://openalex.org/W90901292","https://openalex.org/W2019780691","https://openalex.org/W2558424905","https://openalex.org/W2551189280","https://openalex.org/W4299595414","https://openalex.org/W2919045150","https://openalex.org/W2997902164","https://openalex.org/W1968317357"],"abstract_inverted_index":{"We":[0,123],"present":[1,124],"an":[2],"efficient,":[3,34],"trivially":[4],"parallelizable":[5],"algorithm":[6,20],"to":[7,31,93],"compute":[8],"offset":[9],"surfaces":[10],"of":[11,42,51,73,79,105],"shapes":[12],"discretized":[13],"using":[14],"a":[15,24,62,91,103,133],"dexel":[16],"data":[17],"structure.":[18],"Our":[19,45,88],"is":[21,29,47,58,82,99],"based":[22,48],"on":[23,49],"two-stage":[25],"sweeping":[26],"procedure":[27],"that":[28],"simple":[30],"implement":[32],"and":[33,120,131],"entirely":[35],"avoiding":[36],"volumetric":[37],"distance":[38],"field":[39],"computations":[40],"typical":[41],"existing":[43],"methods.":[44],"construction":[46],"properties":[50],"half-space":[52],"power":[53],"diagrams,":[54],"where":[55],"each":[56],"seed":[57],"only":[59],"visible":[60],"by":[61],"half":[63],"space,":[64],"which":[65],"were":[66],"never":[67],"used":[68],"before":[69],"for":[70,85],"the":[71,137],"computation":[72],"surface":[74],"offsets.":[75],"The":[76],"primary":[77],"application":[78],"our":[80],"method":[81],"interactive":[83],"modeling":[84],"digital":[86],"fabrication.":[87],"technique":[89],"enables":[90],"user":[92],"interactively":[94],"process":[95],"high-resolution":[96],"models.":[97],"It":[98],"also":[100],"useful":[101],"in":[102,136],"plethora":[104],"other":[106],"geometry":[107],"processing":[108],"tasks":[109],"requiring":[110],"fast,":[111],"approximate":[112],"offsets,":[113],"such":[114],"as":[115],"topology":[116],"optimization,":[117],"collision":[118],"detection,":[119],"skeleton":[121],"extraction.":[122],"experimental":[125],"timings,":[126],"comparisons":[127],"with":[128],"previous":[129],"approaches,":[130],"provide":[132],"reference":[134],"implementation":[135],"supplemental":[138],"material.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
