{"id":"https://openalex.org/W2035735676","doi":"https://doi.org/10.1016/j.cagd.2004.02.003","title":"Estimating normal vectors and curvatures by centroid weights","display_name":"Estimating normal vectors and curvatures by centroid weights","publication_year":2004,"publication_date":"2004-03-11","ids":{"openalex":"https://openalex.org/W2035735676","doi":"https://doi.org/10.1016/j.cagd.2004.02.003","mag":"2035735676"},"language":"en","primary_location":{"id":"doi:10.1016/j.cagd.2004.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cagd.2004.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","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/A5061485969","display_name":"Sheng-Gwo Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I148099254","display_name":"National Chung Cheng University","ror":"https://ror.org/0028v3876","country_code":"TW","type":"education","lineage":["https://openalex.org/I148099254"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Sheng-Gwo Chen","raw_affiliation_strings":["Department of Mathematics, National Chung Cheng University, Chia-Yi 621, Taiwan, ROC#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Chung Cheng University, Chia-Yi 621, Taiwan, ROC#TAB#","institution_ids":["https://openalex.org/I148099254"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088269148","display_name":"Jyh-Yang Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I148099254","display_name":"National Chung Cheng University","ror":"https://ror.org/0028v3876","country_code":"TW","type":"education","lineage":["https://openalex.org/I148099254"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jyh-Yang Wu","raw_affiliation_strings":["Department of Mathematics, National Chung Cheng University, Chia-Yi 621, Taiwan, ROC#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Chung Cheng University, Chia-Yi 621, Taiwan, ROC#TAB#","institution_ids":["https://openalex.org/I148099254"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061485969"],"corresponding_institution_ids":["https://openalex.org/I148099254"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":4.5391,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.94095042,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"5","first_page":"447","last_page":"458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9739999771118164,"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":0.9739999771118164,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9524000287055969,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9435999989509583,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8586407899856567},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.7075884342193604},{"id":"https://openalex.org/keywords/principal-curvature","display_name":"Principal curvature","score":0.6393306255340576},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5950594544410706},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.580878734588623},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.5619295239448547},{"id":"https://openalex.org/keywords/normal","display_name":"Normal","score":0.5491294860839844},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.4815378785133362},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.47268158197402954},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.47119614481925964},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.47065702080726624},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.4497702419757843},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4323006868362427},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.39510685205459595},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32973626255989075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26096197962760925}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8586407899856567},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.7075884342193604},{"id":"https://openalex.org/C16977076","wikidata":"https://www.wikidata.org/wiki/Q1589551","display_name":"Principal curvature","level":4,"score":0.6393306255340576},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5950594544410706},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.580878734588623},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.5619295239448547},{"id":"https://openalex.org/C118732077","wikidata":"https://www.wikidata.org/wiki/Q273176","display_name":"Normal","level":3,"score":0.5491294860839844},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.4815378785133362},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.47268158197402954},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.47119614481925964},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.47065702080726624},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.4497702419757843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4323006868362427},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.39510685205459595},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32973626255989075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26096197962760925},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cagd.2004.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cagd.2004.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W257525205","https://openalex.org/W1551207461","https://openalex.org/W1565212980","https://openalex.org/W1846659435","https://openalex.org/W1987594466","https://openalex.org/W2104776149","https://openalex.org/W2125685777","https://openalex.org/W2138828207","https://openalex.org/W6639007286","https://openalex.org/W6675738515","https://openalex.org/W6678637214"],"related_works":["https://openalex.org/W2046982427","https://openalex.org/W2792354554","https://openalex.org/W2263208613","https://openalex.org/W2056210407","https://openalex.org/W1663037709","https://openalex.org/W4226520999","https://openalex.org/W4361019495","https://openalex.org/W2052552751","https://openalex.org/W2047695478","https://openalex.org/W1601353378"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}
