{"id":"https://openalex.org/W2155346457","doi":"https://doi.org/10.1111/1467-8659.1440181","title":"Function Representation of Solids Reconstructed from Scattered Surface Points and Contours","display_name":"Function Representation of Solids Reconstructed from Scattered Surface Points and Contours","publication_year":1995,"publication_date":"1995-10-01","ids":{"openalex":"https://openalex.org/W2155346457","doi":"https://doi.org/10.1111/1467-8659.1440181","mag":"2155346457"},"language":"en","primary_location":{"id":"doi:10.1111/1467-8659.1440181","is_oa":false,"landing_page_url":"https://doi.org/10.1111/1467-8659.1440181","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","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/A5101623073","display_name":"V.V. Savchenko","orcid":"https://orcid.org/0009-0007-1725-2510"},"institutions":[{"id":"https://openalex.org/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Vladimir V. Savchenko","raw_affiliation_strings":["Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan","institution_ids":["https://openalex.org/I141591182"]}]},{"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/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Alexander A. Pasko","raw_affiliation_strings":["Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan","institution_ids":["https://openalex.org/I141591182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016611074","display_name":"Oleg Okunev","orcid":"https://orcid.org/0000-0002-6697-6490"},"institutions":[{"id":"https://openalex.org/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Oleg G. Okunev","raw_affiliation_strings":["Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan","institution_ids":["https://openalex.org/I141591182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063257724","display_name":"Tosiyasu L. Kunii","orcid":null},"institutions":[{"id":"https://openalex.org/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tosiyasu L. Kunii","raw_affiliation_strings":["Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan","institution_ids":["https://openalex.org/I141591182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I141591182"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":3.1696,"has_fulltext":false,"cited_by_count":238,"citation_normalized_percentile":{"value":0.91484307,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"4","first_page":"181","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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/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/T12923","display_name":"Digital Image Processing Techniques","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.599469780921936},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5879232287406921},{"id":"https://openalex.org/keywords/function-representation","display_name":"Function representation","score":0.5329073071479797},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5233979821205139},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5028437972068787},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.48133954405784607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4802961051464081},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.4659973382949829},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4584893584251404},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.437389075756073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4257078170776367},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.4214143753051758},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4193028509616852},{"id":"https://openalex.org/keywords/solid-geometry","display_name":"Solid geometry","score":0.4100506007671356},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38757920265197754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3687528073787689},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3612809181213379},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.099453866481781}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.599469780921936},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5879232287406921},{"id":"https://openalex.org/C167528306","wikidata":"https://www.wikidata.org/wiki/Q5508776","display_name":"Function representation","level":3,"score":0.5329073071479797},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5233979821205139},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5028437972068787},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.48133954405784607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4802961051464081},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.4659973382949829},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4584893584251404},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.437389075756073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4257078170776367},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4214143753051758},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4193028509616852},{"id":"https://openalex.org/C25653684","wikidata":"https://www.wikidata.org/wiki/Q207648","display_name":"Solid geometry","level":2,"score":0.4100506007671356},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38757920265197754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3687528073787689},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3612809181213379},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.099453866481781},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.0},{"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/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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1111/1467-8659.1440181","is_oa":false,"landing_page_url":"https://doi.org/10.1111/1467-8659.1440181","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.80","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.80","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.aizu.com/People/Pasko/Green.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.78.8575","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.78.8575","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cis.k.hosei.ac.jp/~F-rep/Green.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1033184444","https://openalex.org/W2029982187","https://openalex.org/W2030503807","https://openalex.org/W2040634233","https://openalex.org/W2044217701","https://openalex.org/W2054439608","https://openalex.org/W2096153679","https://openalex.org/W2100816864","https://openalex.org/W2108142674","https://openalex.org/W2116175081","https://openalex.org/W2130859329","https://openalex.org/W2144909841","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W4310844315","https://openalex.org/W2532377291","https://openalex.org/W2000013817","https://openalex.org/W4296190881","https://openalex.org/W2366362996","https://openalex.org/W2517624617","https://openalex.org/W2378422373","https://openalex.org/W2129566390","https://openalex.org/W2360905385","https://openalex.org/W2384288141"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,29,55],"novel":[5],"approach":[6],"to":[7],"the":[8,26,32,45,75],"reconstruction":[9],"of":[10,18,28,44,50,54,63,86],"geometric":[11],"models":[12],"and":[13,67,95],"surfaces":[14],"from":[15,79],"given":[16],"sets":[17],"points":[19],"using":[20],"volume":[21,38],"splines.":[22],"It":[23],"results":[24],"in":[25,90],"representation":[27],"solid":[30],"by":[31],"inequality":[33],"f(x,y,z)":[34],"\u2265":[35],"0.":[36],"The":[37,71],"spline":[39],"is":[40,61,77,81],"based":[41],"on":[42],"use":[43],"Green's":[46],"function":[47,52],"for":[48,97],"interpolation":[49],"scalar":[51],"values":[53],"chosen":[56],"\u201ccarrier\u201d":[57],"solid.":[58],"Our":[59],"algorithm":[60,88],"capable":[62],"generating":[64],"highly":[65],"concave":[66],"branching":[68],"objects":[69],"automatically.":[70],"particular":[72],"case":[73],"where":[74],"surface":[76],"reconstructed":[78],"cross\u2010sections":[80],"discussed":[82],"too.":[83],"Potential":[84],"applications":[85],"this":[87],"are":[89],"tomography,":[91],"image":[92],"processing,":[93],"animation":[94],"CAD":[96],"bodies":[98],"with":[99],"complex":[100],"surfaces.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":6}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
