{"id":"https://openalex.org/W2158406865","doi":"https://doi.org/10.1142/s0218654301000023","title":"SELF-INTERSECTIONS OF OFFSET CURVES AND SURFACES","display_name":"SELF-INTERSECTIONS OF OFFSET CURVES AND SURFACES","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2158406865","doi":"https://doi.org/10.1142/s0218654301000023","mag":"2158406865"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654301000023","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654301000023","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/A5059688960","display_name":"Johannes Wallner","orcid":"https://orcid.org/0000-0002-3051-1966"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"J. WALLNER","raw_affiliation_strings":["Institute of Geometry, Vienna University of Technology, A-1040 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Geometry, Vienna University of Technology, A-1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003787661","display_name":"Takis Sakkalis","orcid":null},"institutions":[{"id":"https://openalex.org/I109954829","display_name":"Agricultural University of Athens","ror":"https://ror.org/03xawq568","country_code":"GR","type":"education","lineage":["https://openalex.org/I109954829"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"T. SAKKALIS","raw_affiliation_strings":["Department of Mathematics, Agricultural University of Athens, 118 55 Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Agricultural University of Athens, 118 55 Athens, Greece","institution_ids":["https://openalex.org/I109954829"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019734465","display_name":"Takashi Maekawa","orcid":"https://orcid.org/0000-0003-3896-8431"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. MAEKAWA","raw_affiliation_strings":["Design Laboratory, Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139\u20134307, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Design Laboratory, Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139\u20134307, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085957036","display_name":"Helmut Pottmann","orcid":"https://orcid.org/0000-0002-3195-9316"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"H. POTTMANN","raw_affiliation_strings":["Institute of Geometry, Vienna University of Technology, A-1040 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Geometry, Vienna University of Technology, A-1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039311566","display_name":"Guanghui Yu","orcid":"https://orcid.org/0000-0002-5699-779X"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. YU","raw_affiliation_strings":["Design Laboratory, Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139\u20134307, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Design Laboratory, Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139\u20134307, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1166,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.91047076,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"07","issue":"01","first_page":"1","last_page":"21"},"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":0.9994000196456909,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.906276285648346},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5229400396347046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41998034715652466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38247770071029663},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3220098614692688}],"concepts":[{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.906276285648346},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5229400396347046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41998034715652466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38247770071029663},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3220098614692688},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218654301000023","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654301000023","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1973572151","https://openalex.org/W1974863040","https://openalex.org/W1989339867","https://openalex.org/W2000038876","https://openalex.org/W2001707029","https://openalex.org/W2038875318","https://openalex.org/W2044454977","https://openalex.org/W2051117212","https://openalex.org/W2052292812","https://openalex.org/W2066253548","https://openalex.org/W2077080517","https://openalex.org/W4239990973","https://openalex.org/W4243672067"],"related_works":["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","https://openalex.org/W2911598644"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"discuss":[4],"the":[5,17,23,36,39],"self-intersections":[6],"of":[7,38],"offset":[8,19,24],"curves":[9],"and":[10,12],"surfaces":[11],"show":[13],"how":[14],"to":[15],"determine":[16],"maximum":[18],"distance":[20],"such":[21],"that":[22],"does":[25],"not":[26],"locally":[27],"nor":[28],"globally":[29],"self-intersect":[30],"including":[31],"boundary":[32],"effects.":[33],"Examples":[34],"illustrate":[35],"applicability":[37],"analysis.":[40]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
