{"id":"https://openalex.org/W2036612023","doi":"https://doi.org/10.1145/1900179.1900237","title":"Geometric transformation of the RBF implicit surface","display_name":"Geometric transformation of the RBF implicit surface","publication_year":2010,"publication_date":"2010-12-12","ids":{"openalex":"https://openalex.org/W2036612023","doi":"https://doi.org/10.1145/1900179.1900237","mag":"2036612023"},"language":"en","primary_location":{"id":"doi:10.1145/1900179.1900237","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1900179.1900237","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry","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/A5032395367","display_name":"Yongquan Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]},{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Yongquan Jiang","raw_affiliation_strings":["Southwest Jiaotong University and George Mason University"],"affiliations":[{"raw_affiliation_string":"Southwest Jiaotong University and George Mason University","institution_ids":["https://openalex.org/I4800084","https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069847877","display_name":"Jim X. Chen","orcid":"https://orcid.org/0000-0002-4521-5174"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jim X. Chen","raw_affiliation_strings":["George Mason University"],"affiliations":[{"raw_affiliation_string":"George Mason University","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053836350","display_name":"Qiang Peng","orcid":"https://orcid.org/0000-0002-0536-2313"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Peng","raw_affiliation_strings":["Southwest Jiaotong University"],"affiliations":[{"raw_affiliation_string":"Southwest Jiaotong University","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058156010","display_name":"Harry Wechsler","orcid":"https://orcid.org/0000-0002-5454-8819"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harry Wechsler","raw_affiliation_strings":["George Mason University"],"affiliations":[{"raw_affiliation_string":"George Mason University","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112575231","display_name":"Wen-Zhen Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenzhen Yang","raw_affiliation_strings":["Zhejiang Sci-Tech University"],"affiliations":[{"raw_affiliation_string":"Zhejiang Sci-Tech University","institution_ids":["https://openalex.org/I1328775524"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5032395367"],"corresponding_institution_ids":["https://openalex.org/I162714631","https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12773047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"277","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9948999881744385,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.8594462871551514},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.7454754710197449},{"id":"https://openalex.org/keywords/hierarchical-rbf","display_name":"Hierarchical RBF","score":0.5857594013214111},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5761829018592834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5557253360748291},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5346409678459167},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5323581695556641},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5201368927955627},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46304944157600403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34912198781967163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3242051303386688},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32235389947891235},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.19655436277389526},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09423556923866272}],"concepts":[{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.8594462871551514},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.7454754710197449},{"id":"https://openalex.org/C182016430","wikidata":"https://www.wikidata.org/wiki/Q17029399","display_name":"Hierarchical RBF","level":4,"score":0.5857594013214111},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5761829018592834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5557253360748291},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5346409678459167},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5323581695556641},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5201368927955627},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46304944157600403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34912198781967163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3242051303386688},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32235389947891235},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.19655436277389526},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09423556923866272},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1900179.1900237","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1900179.1900237","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry","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":18,"referenced_works":["https://openalex.org/W1661064697","https://openalex.org/W1977758817","https://openalex.org/W1986663461","https://openalex.org/W2027828864","https://openalex.org/W2039402388","https://openalex.org/W2074797641","https://openalex.org/W2083206954","https://openalex.org/W2092072871","https://openalex.org/W2103648137","https://openalex.org/W2127689830","https://openalex.org/W2135323728","https://openalex.org/W2144598163","https://openalex.org/W2155346457","https://openalex.org/W2155978565","https://openalex.org/W2163934434","https://openalex.org/W2169990827","https://openalex.org/W4244829582","https://openalex.org/W6637035133"],"related_works":["https://openalex.org/W2410216726","https://openalex.org/W2794503223","https://openalex.org/W2369456215","https://openalex.org/W2606147208","https://openalex.org/W2294862180","https://openalex.org/W2024184249","https://openalex.org/W2162647716","https://openalex.org/W2383559214","https://openalex.org/W1969044629","https://openalex.org/W2186005834"],"abstract_inverted_index":{"When":[0],"we":[1,10,53,63,69],"use":[2,65],"a":[3,84],"Radial":[4],"Basis":[5],"Function":[6],"(RBF)":[7],"implicit":[8,23],"surface,":[9],"may":[11],"need":[12,54,70],"to":[13,19,26,30,35,71,113],"transform":[14,20],"it.":[15],"The":[16,45],"conventional":[17,67],"algorithm":[18,46],"an":[21],"RBF":[22,50,57,79,101,117],"surface":[24],"is":[25,83],"apply":[27],"inverse":[28],"transformation":[29],"the":[31,37,41,48,55,66,74,77,88,93,96,99,106,115],"given":[32],"point":[33],"and":[34,76,98,119,129],"evaluate":[36],"original":[38],"function":[39],"at":[40],"inversely":[42],"transformed":[43,56,78,100,116],"point.":[44],"keeps":[47],"initial":[49,75,97],"centers.":[51,58,80],"Sometimes,":[52],"In":[59],"these":[60],"cases,":[61],"if":[62],"still":[64],"algorithm,":[68],"keep":[72,114],"both":[73,127],"Obviously,":[81],"this":[82],"problem":[85],"that":[86],"wastes":[87],"memory.":[89,122],"We":[90],"have":[91],"derived":[92],"relationship":[94],"between":[95],"coefficients,":[102],"which":[103],"can":[104],"solve":[105],"previous":[107],"problem.":[108],"Our":[109,123],"method":[110,124],"only":[111],"needs":[112],"centers,":[118],"save":[120],"much":[121],"works":[125],"for":[126],"globally":[128],"compactly":[130],"supported":[131],"RBF.":[132]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
