{"id":"https://openalex.org/W2072720371","doi":"https://doi.org/10.1080/10867651.2001.10487542","title":"Convolution Surfaces for Line Skeletons with Polynomial Weight Distributions","display_name":"Convolution Surfaces for Line Skeletons with Polynomial Weight Distributions","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2072720371","doi":"https://doi.org/10.1080/10867651.2001.10487542","mag":"2072720371"},"language":"en","primary_location":{"id":"doi:10.1080/10867651.2001.10487542","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10867651.2001.10487542","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","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/A5015279307","display_name":"Xiaogang Jin","orcid":"https://orcid.org/0000-0001-7339-2920"},"institutions":[{"id":"https://openalex.org/I4210156066","display_name":"State Key Laboratory of Chemical Engineering","ror":"https://ror.org/05803vc71","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210156066"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaogang Jin","raw_affiliation_strings":["State Key Laboratory of CAD &CG , Zhejian g University , Hangzhou , 310027 , P.R. China E-mail: jin@cad.zju.edu.cn","State Key Lab of CAD & CG, Zhejiang University"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of CAD &CG , Zhejian g University , Hangzhou , 310027 , P.R. China E-mail: jin@cad.zju.edu.cn","institution_ids":["https://openalex.org/I4210156066"]},{"raw_affiliation_string":"State Key Lab of CAD & CG, Zhejiang University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018275477","display_name":"Chiew\u2010Lan Tai","orcid":"https://orcid.org/0000-0002-1486-1974"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chiew-Lan Tai","raw_affiliation_strings":["Department of Computer Science , Hong Kong University of Science and Technology, Clear Water Bay , Kowloon , Hong Kong E-mail: taid@cs.ust.hk \u00a0","Hong Kong University of Science & Technology"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , Hong Kong University of Science and Technology, Clear Water Bay , Kowloon , Hong Kong E-mail: taid@cs.ust.hk \u00a0","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Hong Kong University of Science & Technology","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089207550","display_name":"Jieqing Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jieqing Feng","raw_affiliation_strings":["State Key Laboratory of CAD &CG , Zhejiang Univers ity , Hangzhou , 310027 , P.R. China E-mail: jqfeng@cad.zju.edu.cn","State Key Lab of CAD & CG, Zhejiang University"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of CAD &CG , Zhejiang Univers ity , Hangzhou , 310027 , P.R. China E-mail: jqfeng@cad.zju.edu.cn","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Lab of CAD & CG, Zhejiang University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108580059","display_name":"Qunsheng Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qunsheng Peng","raw_affiliation_strings":["State Key Laboratory of CAD &CG , Zhejiang University , Hangzhou , 310027 , P.R. China E-mail: peng@cad.zjll.edll.cn","State Key Lab of CAD & CG, Zhejiang University"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of CAD &CG , Zhejiang University , Hangzhou , 310027 , P.R. China E-mail: peng@cad.zjll.edll.cn","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Lab of CAD & CG, Zhejiang University","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015279307"],"corresponding_institution_ids":["https://openalex.org/I4210156066","https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":2.2616,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.89402174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":"3","first_page":"17","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9991999864578247,"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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":0.9983000159263611,"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/convolution","display_name":"Convolution (computer science)","score":0.7924518585205078},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6560593843460083},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.607242226600647},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5959675312042236},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5875319838523865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47706806659698486},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.47350579500198364},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.44284215569496155},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.42825838923454285},{"id":"https://openalex.org/keywords/convolution-theorem","display_name":"Convolution theorem","score":0.4262150228023529},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4242281913757324},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42173510789871216},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3609997034072876},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34594830870628357},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30094677209854126},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.18477699160575867},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18100106716156006},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0780763328075409}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7924518585205078},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6560593843460083},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.607242226600647},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5959675312042236},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5875319838523865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47706806659698486},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.47350579500198364},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.44284215569496155},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.42825838923454285},{"id":"https://openalex.org/C79587385","wikidata":"https://www.wikidata.org/wiki/Q2638931","display_name":"Convolution theorem","level":5,"score":0.4262150228023529},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4242281913757324},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42173510789871216},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3609997034072876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34594830870628357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30094677209854126},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.18477699160575867},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18100106716156006},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0780763328075409},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"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/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10867651.2001.10487542","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10867651.2001.10487542","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.1.9040","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.9040","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cad.zju.edu.cn/home/jin/papers/jgt2001.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W30254569","https://openalex.org/W1519789732","https://openalex.org/W1753524162","https://openalex.org/W2000690667","https://openalex.org/W2023734581","https://openalex.org/W2034966370","https://openalex.org/W2040444716","https://openalex.org/W2047700301","https://openalex.org/W2052959391","https://openalex.org/W2080358786","https://openalex.org/W2098882966","https://openalex.org/W2105213269","https://openalex.org/W2123855817","https://openalex.org/W2146968309","https://openalex.org/W2162772209","https://openalex.org/W2244686166","https://openalex.org/W2294248264","https://openalex.org/W3006152752","https://openalex.org/W4229927454","https://openalex.org/W4238574226","https://openalex.org/W4300929448"],"related_works":["https://openalex.org/W2293685972","https://openalex.org/W4363675452","https://openalex.org/W2899125270","https://openalex.org/W2165363605","https://openalex.org/W1997262258","https://openalex.org/W2033499985","https://openalex.org/W4290189506","https://openalex.org/W2267589039","https://openalex.org/W4386858688","https://openalex.org/W4385338604"],"abstract_inverted_index":{"Abstract":[0],"Convolution":[1],"surfaces":[2,6,70],"generalize":[3],"point-based":[4],"implicit":[5],"to":[7,71],"incorporate":[8],"higher-dimensional":[9],"skeletal":[10,20],"elements;":[11],"line":[12],"segments":[13],"can":[14,24,41],"be":[15,72],"considered":[16],"the":[17,90],"most":[18],"fundamental":[19],"elements":[21],"since":[22],"they":[23,40],"approximate":[25],"curve":[26],"skeletons.":[27],"Existing":[28],"analytical":[29,51],"models":[30],"for":[31,53],"line-segment":[32,55],"skeletons":[33,56],"assume":[34],"uniform":[35,83],"weight":[36,84],"distributions,":[37],"and":[38],"thus":[39],"produce":[42],"only":[43],"constant-radius":[44],"convolution":[45,69],"surfaces.":[46],"This":[47],"paper":[48],"presents":[49],"an":[50],"solution":[52],"convolving":[54],"with":[57,80],"a":[58,63],"variable":[59],"kernel":[60],"modulated":[61],"by":[62],"polynomial":[64],"function,":[65],"allowing":[66],"generalized":[67],"cylindrical":[68],"modeled":[73],"conveniently.":[74],"Its":[75],"computational":[76],"requirement":[77],"is":[78,93],"competitive":[79],"that":[81],"of":[82,89],"distribution.":[85],"The":[86],"source":[87],"code":[88],"field":[91],"computation":[92],"available":[94],"online.":[95]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-02-25T08:12:03.925757","created_date":"2025-10-10T00:00:00"}
