{"id":"https://openalex.org/W2117329237","doi":"https://doi.org/10.1109/smi.2009.5170174","title":"An exact representation of polygonal objects by C&lt;sup&gt;1&lt;/sup&gt;-continuous scalar fields based on binary space partitioning","display_name":"An exact representation of polygonal objects by C&lt;sup&gt;1&lt;/sup&gt;-continuous scalar fields based on binary space partitioning","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2117329237","doi":"https://doi.org/10.1109/smi.2009.5170174","mag":"2117329237"},"language":"en","primary_location":{"id":"doi:10.1109/smi.2009.5170174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2009.5170174","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-article"},"type":"conference-paper","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/A5005326620","display_name":"Oleg Fryazinov","orcid":"https://orcid.org/0000-0003-2263-7646"},"institutions":[{"id":"https://openalex.org/I9300472","display_name":"Bournemouth University","ror":"https://ror.org/05wwcw481","country_code":"GB","type":"education","lineage":["https://openalex.org/I9300472"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Oleg Fryazinov","raw_affiliation_strings":["The National Centre for Computer Animation, Bournemouth University, UK","[The National Centre for Computer Animation, Bournemouth University, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The National Centre for Computer Animation, Bournemouth University, UK","institution_ids":["https://openalex.org/I9300472"]},{"raw_affiliation_string":"[The National Centre for Computer Animation, Bournemouth University, UK]","institution_ids":["https://openalex.org/I9300472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076138874","display_name":"Alexander Pasko","orcid":"https://orcid.org/0000-0002-4785-7066"},"institutions":[{"id":"https://openalex.org/I9300472","display_name":"Bournemouth University","ror":"https://ror.org/05wwcw481","country_code":"GB","type":"education","lineage":["https://openalex.org/I9300472"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alexander Pasko","raw_affiliation_strings":["The National Centre for Computer Animation, Bournemouth University, UK","[The National Centre for Computer Animation, Bournemouth University, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The National Centre for Computer Animation, Bournemouth University, UK","institution_ids":["https://openalex.org/I9300472"]},{"raw_affiliation_string":"[The National Centre for Computer Animation, Bournemouth University, UK]","institution_ids":["https://openalex.org/I9300472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084580685","display_name":"Valery Adzhiev","orcid":"https://orcid.org/0000-0002-8447-7089"},"institutions":[{"id":"https://openalex.org/I9300472","display_name":"Bournemouth University","ror":"https://ror.org/05wwcw481","country_code":"GB","type":"education","lineage":["https://openalex.org/I9300472"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Valery Adzhiev","raw_affiliation_strings":["The National Centre for Computer Animation, Bournemouth University, UK","[The National Centre for Computer Animation, Bournemouth University, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The National Centre for Computer Animation, Bournemouth University, UK","institution_ids":["https://openalex.org/I9300472"]},{"raw_affiliation_string":"[The National Centre for Computer Animation, Bournemouth University, UK]","institution_ids":["https://openalex.org/I9300472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9300472"],"apc_list":null,"apc_paid":null,"fwci":0.3776,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56461233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","issue":null,"first_page":"132","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","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/T10996","display_name":"Computational Geometry and Mesh Generation","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/T11245","display_name":"Advanced Numerical Analysis Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5775982141494751},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5215715765953064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4956103563308716},{"id":"https://openalex.org/keywords/function-representation","display_name":"Function representation","score":0.4874432384967804},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4844922721385956},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.4770709276199341},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4681186079978943},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4651855528354645},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46485957503318787},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.446901798248291},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4154043197631836},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.41386762261390686},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.4132486581802368},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38316357135772705},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3637009859085083},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19123458862304688},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.17554068565368652},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16062048077583313},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1581445038318634}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5775982141494751},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5215715765953064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4956103563308716},{"id":"https://openalex.org/C167528306","wikidata":"https://www.wikidata.org/wiki/Q5508776","display_name":"Function representation","level":3,"score":0.4874432384967804},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4844922721385956},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.4770709276199341},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4681186079978943},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4651855528354645},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46485957503318787},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.446901798248291},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4154043197631836},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.41386762261390686},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.4132486581802368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38316357135772705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3637009859085083},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19123458862304688},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.17554068565368652},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16062048077583313},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1581445038318634},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/smi.2009.5170174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2009.5170174","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1578154883","https://openalex.org/W1972793839","https://openalex.org/W1975285565","https://openalex.org/W1977237800","https://openalex.org/W1985668290","https://openalex.org/W1987651011","https://openalex.org/W1989519540","https://openalex.org/W1998255762","https://openalex.org/W2003000984","https://openalex.org/W2015191524","https://openalex.org/W2019609576","https://openalex.org/W2048705447","https://openalex.org/W2051125725","https://openalex.org/W2064784401","https://openalex.org/W2067089692","https://openalex.org/W2071134170","https://openalex.org/W2073125461","https://openalex.org/W2077554429","https://openalex.org/W2077950091","https://openalex.org/W2085942262","https://openalex.org/W2097332464","https://openalex.org/W2098355846","https://openalex.org/W2099953968","https://openalex.org/W2114952079","https://openalex.org/W2116175081","https://openalex.org/W2117867888","https://openalex.org/W2146573010","https://openalex.org/W2146968309","https://openalex.org/W2153495762","https://openalex.org/W2155346457","https://openalex.org/W2168491670","https://openalex.org/W2237767100","https://openalex.org/W2483342081","https://openalex.org/W2998100778","https://openalex.org/W4250620537","https://openalex.org/W4254950616","https://openalex.org/W4285719527","https://openalex.org/W6634602690","https://openalex.org/W6681603183"],"related_works":["https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W2348092930","https://openalex.org/W2012063272","https://openalex.org/W3129272755","https://openalex.org/W2138685729","https://openalex.org/W26693340","https://openalex.org/W1963777171","https://openalex.org/W2046819800"],"abstract_inverted_index":{"The":[0,57,112],"problem":[1],"considered":[2],"in":[3,53,93],"this":[4],"work":[5],"is":[6,135],"to":[7,106,123],"find":[8],"a":[9],"dimension":[10],"independent":[11,81],"algorithm":[12,103],"for":[13,116],"the":[14,26,29,38,51,54,63,69,72,76,83,86,94,101,108,120],"generation":[15],"of":[16,50,68,82,88,100,119],"signed":[17],"scalar":[18],"fields":[19],"exactly":[20,36],"representing":[21],"polygonal":[22,39,77,96],"objects":[23,127],"and":[24,79,91,130],"satisfying":[25],"following":[27],"requirements:":[28],"defining":[30],"real":[31],"function":[32,52],"takes":[33],"zero":[34],"value":[35],"at":[37],"object":[40,70,84],"boundary;":[41],"no":[42],"extra":[43],"zero-value":[44],"isosurfaces":[45],"should":[46],"be":[47],"generated;":[48],"C1continuity":[49],"entire":[55],"domain.":[56],"proposed":[58,105],"algorithms":[59],"are":[60,80,104],"based":[61],"on":[62],"binary":[64],"space":[65],"partitioning":[66],"(BSP)":[67],"by":[71,137],"planes":[73],"passing":[74],"through":[75],"faces":[78],"genus,":[85],"number":[87],"disjoint":[89],"components,":[90],"holes":[92],"initial":[95],"mesh.":[97],"Several":[98],"extensions":[99],"basic":[102],"satisfy":[107],"selected":[109],"optimization":[110],"criteria.":[111],"generated":[113],"BSP-fields":[114],"allow":[115],"applying":[117],"techniques":[118],"function-based":[121],"modelling":[122],"already":[124],"existing":[125],"legacy":[126],"from":[128],"CAD":[129],"computer":[131],"animation":[132],"areas,":[133],"which":[134],"illustrated":[136],"several":[138],"examples.":[139]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
