{"id":"https://openalex.org/W1553374216","doi":"https://doi.org/10.1023/a:1018959823016","title":"On geometric and topological reasoning in robotics","display_name":"On geometric and topological reasoning in robotics","publication_year":1997,"publication_date":"1997-04-01","ids":{"openalex":"https://openalex.org/W1553374216","doi":"https://doi.org/10.1023/a:1018959823016","mag":"1553374216"},"language":"en","primary_location":{"id":"doi:10.1023/a:1018959823016","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018959823016","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","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/A5075363532","display_name":"Jochen Pfalzgraf","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"J. Pfalzgraf","raw_affiliation_strings":["RISC-Linz, Johannes Kepler University, A-4040, Linz, Austria","RISC&dash"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RISC-Linz, Johannes Kepler University, A-4040, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"RISC&dash","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075363532"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.7184,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.69270177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"3-4","first_page":"279","last_page":"318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9965999722480774,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/robotics","display_name":"Robotics","score":0.7396233677864075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6228446960449219},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.561795711517334},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5372844338417053},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.49674755334854126},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.48805105686187744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4737547039985657},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.4715067446231842},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.4685403108596802},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4439290463924408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42195001244544983},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.41194576025009155},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3513234853744507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2425994873046875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21495798230171204},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20097926259040833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11241888999938965},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07355591654777527},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06690117716789246}],"concepts":[{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.7396233677864075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6228446960449219},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.561795711517334},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5372844338417053},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.49674755334854126},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.48805105686187744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4737547039985657},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.4715067446231842},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.4685403108596802},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4439290463924408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42195001244544983},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.41194576025009155},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3513234853744507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2425994873046875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21495798230171204},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20097926259040833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11241888999938965},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07355591654777527},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06690117716789246},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1018959823016","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018959823016","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W3002826","https://openalex.org/W27914859","https://openalex.org/W36355091","https://openalex.org/W62968843","https://openalex.org/W1480480032","https://openalex.org/W1486147404","https://openalex.org/W1505296242","https://openalex.org/W1513752890","https://openalex.org/W1518341038","https://openalex.org/W1543638401","https://openalex.org/W1560209019","https://openalex.org/W1587379635","https://openalex.org/W1606311440","https://openalex.org/W1969568975","https://openalex.org/W1983033166","https://openalex.org/W2002913067","https://openalex.org/W2062691475","https://openalex.org/W2068827757","https://openalex.org/W2077378514","https://openalex.org/W2077725083","https://openalex.org/W2110333200","https://openalex.org/W2156871639","https://openalex.org/W2164822988","https://openalex.org/W2501779537","https://openalex.org/W2908436493","https://openalex.org/W2913248487","https://openalex.org/W4229917934","https://openalex.org/W4234990000","https://openalex.org/W4238858352","https://openalex.org/W4245155680","https://openalex.org/W4249098788","https://openalex.org/W6631870541"],"related_works":["https://openalex.org/W2789522126","https://openalex.org/W2066693961","https://openalex.org/W2368363778","https://openalex.org/W122584421","https://openalex.org/W4244295168","https://openalex.org/W2351083540","https://openalex.org/W2953854768","https://openalex.org/W2753351751","https://openalex.org/W4231686530","https://openalex.org/W3185180338"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}