{"id":"https://openalex.org/W2057729563","doi":"https://doi.org/10.1142/s0218654397000100","title":"NATURAL REPRESENTATION OF SHAPES WITH SINGULARITIES","display_name":"NATURAL REPRESENTATION OF SHAPES WITH SINGULARITIES","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W2057729563","doi":"https://doi.org/10.1142/s0218654397000100","mag":"2057729563"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654397000100","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654397000100","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","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/A5046577156","display_name":"Imr\u00e9 Horv\u00e1th","orcid":"https://orcid.org/0000-0002-6008-0570"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"IMRE HORV\u00c1TH","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5110126557","display_name":"Joris S. M. Vergeest","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"JORIS S. M. VERGEEST","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7068,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82876075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"03","issue":"03n04","first_page":"127","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"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":0.9990000128746033,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/representation","display_name":"Representation (politics)","score":0.6827448010444641},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6478501558303833},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.6137620806694031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4086703360080719},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3575344681739807},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.21559995412826538},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15226438641548157},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.0529940128326416},{"id":"https://openalex.org/keywords/archaeology","display_name":"Archaeology","score":0.041121989488601685}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6827448010444641},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6478501558303833},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.6137620806694031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4086703360080719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3575344681739807},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.21559995412826538},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15226438641548157},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0529940128326416},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.041121989488601685},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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":1,"locations":[{"id":"doi:10.1142/s0218654397000100","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654397000100","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6800000071525574,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W127034259","https://openalex.org/W321176343","https://openalex.org/W1527403862","https://openalex.org/W1967980005","https://openalex.org/W2015685236","https://openalex.org/W2023476023","https://openalex.org/W2027657309","https://openalex.org/W2032133082","https://openalex.org/W2063091122","https://openalex.org/W2079934996","https://openalex.org/W2080234047","https://openalex.org/W2090265155","https://openalex.org/W2135555962","https://openalex.org/W2911668542","https://openalex.org/W2915042505","https://openalex.org/W4246275161"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"This":[0],"paper":[1,106,151],"reports":[2],"on":[3,43],"the":[4,14,19,85,100,105,142,156],"theretical":[5],"fundamentals":[6],"of":[7,66,84,87,103,127,155],"a":[8,119,125,128],"novel":[9,51],"modeling":[10,25,61],"approach":[11],"that":[12,90],"follows":[13],"singularity":[15,23,79],"theory":[16,157],"rather":[17],"than":[18],"continuity":[20,133],"theory.":[21],"The":[22,46,59,137,150],"oriented":[24],"is":[26,80,91],"very":[27],"useful":[28],"in":[29,33],"Certain":[30],"applications,":[31],"e.g.":[32],"form-giving":[34],"and":[35,39,74,96,134],"styling,":[36],"rapid":[37],"prototyping":[38],"shape":[40,56,64,78,159],"generation":[41,160],"based":[42],"gestural":[44,162],"devices.":[45],"authors":[47],"refer":[48],"to":[49],"this":[50],"description":[52],"technique":[53],"as":[54,118,124],"natural":[55,75,113],"representation":[57],"(N-rep).":[58],"key":[60],"entities":[62],"are":[63],"singularities":[65],"various":[67],"order,":[68],"structures":[69],"formed":[70],"by":[71,93,161],"their":[72,109],"arrangements,":[73],"surfaces.":[76],"A":[77,112],"an":[81,88,153],"observable":[82],"discontinuity":[83],"boundary":[86],"object":[89],"featured":[92],"specific":[94,132],"tangency":[95],"curvature":[97],"characteristics.":[98],"Besides":[99],"formal":[101],"definition":[102],"singularities,":[104],"deals":[107],"with":[108,146],"structural":[110],"properties.":[111],"surface":[114],"has":[115],"been":[116],"defined":[117],"compound":[120],"geometric":[121],"entity":[122],"that,":[123],"domain":[126],"boundary,":[129],"obeys":[130],"some":[131],"finiteness":[135],"conditions.":[136],"N-rep":[138],"data":[139],"scheme":[140,145],"extends":[141],"conventional":[143],"B-rep":[144],"higher":[147],"level":[148],"constructs.":[149],"describes":[152],"application":[154],"for":[158],"device.":[163]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
