{"id":"https://openalex.org/W2088360111","doi":"https://doi.org/10.1007/s10444-005-7473-6","title":"An efficient algorithm for the computation of the metric average of two intersecting convex polygons, with application to morphing","display_name":"An efficient algorithm for the computation of the metric average of two intersecting convex polygons, with application to morphing","publication_year":2006,"publication_date":"2006-08-17","ids":{"openalex":"https://openalex.org/W2088360111","doi":"https://doi.org/10.1007/s10444-005-7473-6","mag":"2088360111"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-005-7473-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7473-6","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5020782950","display_name":"Evgeny Lipovetsky","orcid":"https://orcid.org/0000-0001-8783-614X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Evgeny Lipovetsky","raw_affiliation_strings":["School of Mathematical Sciences, Tel-Aviv University, Israel","Tel-Aviv  University"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008364994","display_name":"Nira Dyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nira Dyn","raw_affiliation_strings":["School of Mathematical Sciences, Tel-Aviv University, Israel","Tel-Aviv  University"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020782950"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16342832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"1-3","first_page":"269","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/morphing","display_name":"Morphing","score":0.8088321685791016},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6587764620780945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.61448073387146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6067030429840088},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5640248656272888},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5019552707672119},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.4675067365169525},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.4289422631263733},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4262136220932007},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42058053612709045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3376997113227844},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22145360708236694},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2064073085784912},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12068003416061401},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08413857221603394}],"concepts":[{"id":"https://openalex.org/C50637493","wikidata":"https://www.wikidata.org/wiki/Q1136781","display_name":"Morphing","level":2,"score":0.8088321685791016},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6587764620780945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.61448073387146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6067030429840088},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5640248656272888},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5019552707672119},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.4675067365169525},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4289422631263733},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4262136220932007},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42058053612709045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3376997113227844},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22145360708236694},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2064073085784912},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12068003416061401},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08413857221603394},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-005-7473-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7473-6","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.157.6521","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.6521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.tau.ac.il/~niradyn/papers/evgeny.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W71114559","https://openalex.org/W588011792","https://openalex.org/W1493768132","https://openalex.org/W1853394109","https://openalex.org/W1977957682","https://openalex.org/W2005314985","https://openalex.org/W2058023238","https://openalex.org/W2079802935","https://openalex.org/W2301854744","https://openalex.org/W2798987218","https://openalex.org/W2911302472","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2107447241","https://openalex.org/W2442338490","https://openalex.org/W1570035176","https://openalex.org/W2073248303","https://openalex.org/W2971340537","https://openalex.org/W1584292662","https://openalex.org/W2046210743","https://openalex.org/W2030136392","https://openalex.org/W1857475410","https://openalex.org/W1511346678"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}