{"id":"https://openalex.org/W2057073728","doi":"https://doi.org/10.1109/cadcg.2007.4407858","title":"Constructing G&lt;sup&gt;1&lt;/sup&gt; Triangular Interpolation Surface with Normal Control","display_name":"Constructing G&lt;sup&gt;1&lt;/sup&gt; Triangular Interpolation Surface with Normal Control","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2057073728","doi":"https://doi.org/10.1109/cadcg.2007.4407858","mag":"2057073728"},"language":"en","primary_location":{"id":"doi:10.1109/cadcg.2007.4407858","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cadcg.2007.4407858","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics","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/A5101859158","display_name":"Aiwu Zhang","orcid":"https://orcid.org/0000-0002-7472-1447"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Aiwu Zhang","raw_affiliation_strings":["Shandong University, Jinan,"],"affiliations":[{"raw_affiliation_string":"Shandong University, Jinan,","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101753049","display_name":"Caiming Zhang","orcid":"https://orcid.org/0000-0001-9913-7936"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Caiming Zhang","raw_affiliation_strings":["Shandong University, Jinan,"],"affiliations":[{"raw_affiliation_string":"Shandong University, Jinan,","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101859158"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15151208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":null,"first_page":"71","last_page":"75"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9929999709129333,"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":0.9911999702453613,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7006990313529968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.678153395652771},{"id":"https://openalex.org/keywords/normal","display_name":"Normal","score":0.6038649678230286},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5518324971199036},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5387185215950012},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5249176621437073},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.45333772897720337},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3471415042877197},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3370002508163452},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1226705014705658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11689192056655884},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09234383702278137}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7006990313529968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.678153395652771},{"id":"https://openalex.org/C118732077","wikidata":"https://www.wikidata.org/wiki/Q273176","display_name":"Normal","level":3,"score":0.6038649678230286},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5518324971199036},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5387185215950012},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5249176621437073},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.45333772897720337},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3471415042877197},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3370002508163452},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1226705014705658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11689192056655884},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09234383702278137},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cadcg.2007.4407858","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cadcg.2007.4407858","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W62334336","https://openalex.org/W67973761","https://openalex.org/W1852003777","https://openalex.org/W2022872538","https://openalex.org/W2048032449","https://openalex.org/W2076095332","https://openalex.org/W2085688944","https://openalex.org/W2094626984","https://openalex.org/W2100816864","https://openalex.org/W2164464068","https://openalex.org/W2462578009","https://openalex.org/W6675167734","https://openalex.org/W6683927821"],"related_works":["https://openalex.org/W2160477533","https://openalex.org/W2385632889","https://openalex.org/W2119803320","https://openalex.org/W4319785932","https://openalex.org/W2372721958","https://openalex.org/W2331340052","https://openalex.org/W1983403172","https://openalex.org/W2101902994","https://openalex.org/W1537603411","https://openalex.org/W2025169443"],"abstract_inverted_index":{"Given":[0],"a":[1,18,22,88,102,104,107,149],"triangulated":[2],"mesh":[3],"with":[4,115,124],"the":[5,13,38,41,46,49,74,78,113,116,122,134,146,153,157],"positions":[6],"and":[7,60,71,133],"outer":[8],"surface":[9,43],"normal":[10,117],"values":[11],"at":[12],"vertexes,":[14],"this":[15,55],"paper":[16,56],"presents":[17],"scheme":[19,53,75],"to":[20,82,87,101],"construct":[21,121],"G1":[23],"continuous":[24],"triangular":[25,150],"interpolation":[26,31,144],"surface.":[27],"Most":[28],"of":[29,40,48,54,91,136,148,156],"local":[30,79],"methods":[32],"suffer":[33],"from":[34],"similar":[35,100],"defect":[36],"that":[37],"shape":[39,47,143],"constructed":[42,50],"is":[44,57,131,152],"flat,":[45,59],"surfaces":[51,62,92],"by":[52,142],"not":[58],"some":[61],"can":[63],"be":[64],"reconstructed":[65],"accurately,":[66],"such":[67],"as":[68],"spheres,":[69],"columns":[70],"cones.":[72],"Firstly,":[73],"estimate":[76],"if":[77,109],"parameters":[80],"related":[81],"an":[83],"edge":[84],"approximately":[85],"belong":[86],"simple":[89],"kind":[90],"which":[93],"has":[94],"center":[95,98],"point":[96],"or":[97,106],"axis,":[99],"sphere,":[103],"column":[105],"cone;":[108],"so":[110],"then":[111],"reconstruct":[112],"sub-patch":[114,123],"extension":[118],"method;":[119,145],"else":[120],"side-vertex":[125],"method,":[126],"where":[127],"cubic":[128],"Hermite":[129],"curve":[130],"used,":[132],"lengths":[135],"endpoint":[137],"tangent":[138],"vectors":[139],"are":[140],"determined":[141],"patch":[147],"domain":[151],"convex":[154],"combination":[155],"three":[158],"sub-":[159],"patches.":[160]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
