{"id":"https://openalex.org/W4385435086","doi":"https://doi.org/10.1007/978-3-031-38271-0_3","title":"A Product Shape Manifold Approach for Optimizing Piecewise-Smooth Shapes","display_name":"A Product Shape Manifold Approach for Optimizing Piecewise-Smooth Shapes","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385435086","doi":"https://doi.org/10.1007/978-3-031-38271-0_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-38271-0_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-38271-0_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5091932287","display_name":"Lidiya Pryymak","orcid":null},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lidiya Pryymak","raw_affiliation_strings":["TU Bergakademie Freiberg, Akademiestr. 6, 09599, Freiberg, Germany"],"affiliations":[{"raw_affiliation_string":"TU Bergakademie Freiberg, Akademiestr. 6, 09599, Freiberg, Germany","institution_ids":["https://openalex.org/I61893789"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008089792","display_name":"Tim Suchan","orcid":"https://orcid.org/0000-0001-5847-5613"},"institutions":[{"id":"https://openalex.org/I190134885","display_name":"Helmut Schmidt University","ror":"https://ror.org/04e8jbs38","country_code":"DE","type":"education","lineage":["https://openalex.org/I190134885"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Suchan","raw_affiliation_strings":["Helmut Schmidt University, Holstenhofweg 85, 22043, Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Helmut Schmidt University, Holstenhofweg 85, 22043, Hamburg, Germany","institution_ids":["https://openalex.org/I190134885"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041753823","display_name":"Kathrin Welker","orcid":"https://orcid.org/0000-0002-6673-9436"},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kathrin Welker","raw_affiliation_strings":["TU Bergakademie Freiberg, Akademiestr. 6, 09599, Freiberg, Germany"],"affiliations":[{"raw_affiliation_string":"TU Bergakademie Freiberg, Akademiestr. 6, 09599, Freiberg, Germany","institution_ids":["https://openalex.org/I61893789"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091932287"],"corresponding_institution_ids":["https://openalex.org/I61893789"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.2143,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.97098803,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"21","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9973999857902527,"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":0.9973999857902527,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9970999956130981,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/shape-optimization","display_name":"Shape optimization","score":0.8456774950027466},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7811728715896606},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.6518656015396118},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6419933438301086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5472067594528198},{"id":"https://openalex.org/keywords/active-shape-model","display_name":"Active shape model","score":0.5190006494522095},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5094831585884094},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41890978813171387},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4082115888595581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4060840904712677},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3323000371456146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3290031850337982},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29932376742362976},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21356931328773499},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15587589144706726},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07304611802101135},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.07024604082107544}],"concepts":[{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.8456774950027466},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7811728715896606},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.6518656015396118},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6419933438301086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5472067594528198},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.5190006494522095},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5094831585884094},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41890978813171387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4082115888595581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4060840904712677},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3323000371456146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3290031850337982},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29932376742362976},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21356931328773499},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15587589144706726},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07304611802101135},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.07024604082107544},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-38271-0_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-38271-0_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1580724525","https://openalex.org/W1973166496","https://openalex.org/W1985415289","https://openalex.org/W2005681075","https://openalex.org/W2070299075","https://openalex.org/W2075790524","https://openalex.org/W2112311198","https://openalex.org/W2128876590","https://openalex.org/W2132630784","https://openalex.org/W2170382756","https://openalex.org/W2212370034","https://openalex.org/W2492283546","https://openalex.org/W2891420811","https://openalex.org/W3083483377","https://openalex.org/W3105995075","https://openalex.org/W3165317637","https://openalex.org/W3185408516","https://openalex.org/W3196642515","https://openalex.org/W6889056184"],"related_works":["https://openalex.org/W2501097992","https://openalex.org/W2464585191","https://openalex.org/W1965145450","https://openalex.org/W2126962853","https://openalex.org/W13786964","https://openalex.org/W2144085839","https://openalex.org/W2212089300","https://openalex.org/W2121756800","https://openalex.org/W2532906573","https://openalex.org/W1834774708"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}