{"id":"https://openalex.org/W285660394","doi":"https://doi.org/10.1007/978-3-642-54382-1_19","title":"The LIR Space Partitioning System Applied to Cartesian Grids","display_name":"The LIR Space Partitioning System Applied to Cartesian Grids","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W285660394","doi":"https://doi.org/10.1007/978-3-642-54382-1_19","mag":"285660394"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-54382-1_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-54382-1_19","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/A5056333415","display_name":"Sven Linden","orcid":"https://orcid.org/0000-0002-2721-3810"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I3019415892","display_name":"Fraunhofer Institute for Industrial Mathematics","ror":"https://ror.org/019hjw009","country_code":"DE","type":"facility","lineage":["https://openalex.org/I3019415892","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sven Linden","raw_affiliation_strings":["Fraunhofer ITWM, 67663, Kaiserslautern, Germany","University of Kaiserlautern, 67663, Kaiserlautern, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer ITWM, 67663, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I3019415892"]},{"raw_affiliation_string":"University of Kaiserlautern, 67663, Kaiserlautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005530908","display_name":"Hans Hagen","orcid":"https://orcid.org/0000-0001-5626-963X"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Hagen","raw_affiliation_strings":["University of Kaiserlautern, 67663, Kaiserlautern, Germany"],"affiliations":[{"raw_affiliation_string":"University of Kaiserlautern, 67663, Kaiserlautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056127901","display_name":"Andreas Wiegmann","orcid":"https://orcid.org/0000-0001-5559-8036"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andreas Wiegmann","raw_affiliation_strings":["Math2Market GmbH, 67663, Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"Math2Market GmbH, 67663, Kaiserslautern, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056333415"],"corresponding_institution_ids":["https://openalex.org/I153267046","https://openalex.org/I3019415892"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.822,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71408451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"324","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9991999864578247,"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":0.9979000091552734,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9955000281333923,"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/octree","display_name":"Octree","score":0.9120150804519653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7404314279556274},{"id":"https://openalex.org/keywords/space-partitioning","display_name":"Space partitioning","score":0.7133854031562805},{"id":"https://openalex.org/keywords/voxel","display_name":"Voxel","score":0.6748457551002502},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6118042469024658},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5566295385360718},{"id":"https://openalex.org/keywords/partition-of-unity","display_name":"Partition of unity","score":0.4921816885471344},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48581767082214355},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4843948483467102},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.47980812191963196},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4606464207172394},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4574649930000305},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.43480533361434937},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4013896584510803},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3766956925392151},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.32578152418136597},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.3140760660171509},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20303666591644287},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18423977494239807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1799556016921997},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09091582894325256}],"concepts":[{"id":"https://openalex.org/C141297171","wikidata":"https://www.wikidata.org/wiki/Q1143237","display_name":"Octree","level":2,"score":0.9120150804519653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7404314279556274},{"id":"https://openalex.org/C13670688","wikidata":"https://www.wikidata.org/wiki/Q3500548","display_name":"Space partitioning","level":2,"score":0.7133854031562805},{"id":"https://openalex.org/C54170458","wikidata":"https://www.wikidata.org/wiki/Q663554","display_name":"Voxel","level":2,"score":0.6748457551002502},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6118042469024658},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5566295385360718},{"id":"https://openalex.org/C102205669","wikidata":"https://www.wikidata.org/wiki/Q191690","display_name":"Partition of unity","level":3,"score":0.4921816885471344},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48581767082214355},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4843948483467102},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.47980812191963196},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4606464207172394},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4574649930000305},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.43480533361434937},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4013896584510803},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3766956925392151},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.32578152418136597},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.3140760660171509},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20303666591644287},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18423977494239807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1799556016921997},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09091582894325256},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-54382-1_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-54382-1_19","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"},{"id":"pmh:oai:publica.fraunhofer.de:publica/385096","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/385096","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W42106223","https://openalex.org/W1600248900","https://openalex.org/W1966634937","https://openalex.org/W1980215865","https://openalex.org/W2019268215","https://openalex.org/W2038233234","https://openalex.org/W2059308357","https://openalex.org/W2081893716","https://openalex.org/W2095606021","https://openalex.org/W2151942047","https://openalex.org/W2161449253","https://openalex.org/W2165558283"],"related_works":["https://openalex.org/W3135129390","https://openalex.org/W2365690707","https://openalex.org/W285660394","https://openalex.org/W1973470968","https://openalex.org/W2319527609","https://openalex.org/W2019977059","https://openalex.org/W4200163977","https://openalex.org/W2050028995","https://openalex.org/W131466937","https://openalex.org/W2907558657"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
