{"id":"https://openalex.org/W4404956866","doi":"https://doi.org/10.1007/978-3-031-78119-3_13","title":"SANS: Spatial-Aware Neural Solver for\u00a0Plane Geometry Problem","display_name":"SANS: Spatial-Aware Neural Solver for\u00a0Plane Geometry Problem","publication_year":2024,"publication_date":"2024-12-04","ids":{"openalex":"https://openalex.org/W4404956866","doi":"https://doi.org/10.1007/978-3-031-78119-3_13"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-78119-3_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-78119-3_13","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":"conference-paper","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/A5112939424","display_name":"Zihao Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi-Hao Lin","raw_affiliation_strings":["Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shun-Xin Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shun-Xin Xiao","raw_affiliation_strings":["Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101941981","display_name":"Zirong Chen","orcid":"https://orcid.org/0000-0002-9376-9008"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi-Rong Chen","raw_affiliation_strings":["Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103794474","display_name":"Jianmin Li","orcid":"https://orcid.org/0009-0001-8966-4203"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Min Li","raw_affiliation_strings":["Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032628425","display_name":"Da\u2010Han Wang","orcid":"https://orcid.org/0000-0002-5901-0778"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Da-Han Wang","raw_affiliation_strings":["Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Key Laboratory of Pattern Recognition and Image Understanding, Xiamen, 361024, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082548671","display_name":"Xu-Yao Zhang","orcid":"https://orcid.org/0000-0001-9260-188X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu-Yao Zhang","raw_affiliation_strings":["State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation of Chinese Academy of Sciences, Beijing, 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation of Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I75867142"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"183","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9846000075340271,"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":0.9825000166893005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8099805116653442},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.652214765548706},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5193454027175903},{"id":"https://openalex.org/keywords/problem-solver","display_name":"Problem solver","score":0.4558282494544983},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4153262972831726},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.399605929851532},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.38151973485946655},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.37974604964256287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3598927855491638},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.33065521717071533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11205634474754333},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08385130763053894}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8099805116653442},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.652214765548706},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5193454027175903},{"id":"https://openalex.org/C3019612716","wikidata":"https://www.wikidata.org/wiki/Q730920","display_name":"Problem solver","level":2,"score":0.4558282494544983},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4153262972831726},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.399605929851532},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.38151973485946655},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.37974604964256287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3598927855491638},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.33065521717071533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11205634474754333},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08385130763053894}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-78119-3_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-78119-3_13","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1933349210","https://openalex.org/W2194775991","https://openalex.org/W2250564385","https://openalex.org/W2602856279","https://openalex.org/W2740314591","https://openalex.org/W2806307656","https://openalex.org/W2997154779","https://openalex.org/W3007759824","https://openalex.org/W3016211260","https://openalex.org/W3035060554","https://openalex.org/W3035588244","https://openalex.org/W3104953317","https://openalex.org/W3126337491","https://openalex.org/W3135367836","https://openalex.org/W3176186248","https://openalex.org/W3176371077","https://openalex.org/W3176851559","https://openalex.org/W4225105060","https://openalex.org/W4235598854","https://openalex.org/W4304013646","https://openalex.org/W4379929801","https://openalex.org/W4385572160","https://openalex.org/W4385572852","https://openalex.org/W4385768252","https://openalex.org/W4388190426"],"related_works":["https://openalex.org/W2011621332","https://openalex.org/W1605093979","https://openalex.org/W2152572054","https://openalex.org/W2920969592","https://openalex.org/W2074269745","https://openalex.org/W2568362682","https://openalex.org/W1836984851","https://openalex.org/W4235638484","https://openalex.org/W2990609819","https://openalex.org/W4296118853"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
