{"id":"https://openalex.org/W2077759711","doi":"https://doi.org/10.1007/s00224-010-9306-3","title":"Computing Space-Filling Curves","display_name":"Computing Space-Filling Curves","publication_year":2010,"publication_date":"2010-12-15","ids":{"openalex":"https://openalex.org/W2077759711","doi":"https://doi.org/10.1007/s00224-010-9306-3","mag":"2077759711"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-010-9306-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-010-9306-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","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/A5017630975","display_name":"P. J. Couch","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P. J. Couch","raw_affiliation_strings":["Department of Mathematics, Auburn University, Auburn, AL, 36849, USA","Auburn University, Department of Mathematics, 36849, Auburn, AL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Auburn University, Auburn, AL, 36849, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Auburn University, Department of Mathematics, 36849, Auburn, AL, USA#TAB#","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112098549","display_name":"Bernal-Santos Daniel","orcid":null},"institutions":[{"id":"https://openalex.org/I177898655","display_name":"Lamar University","ror":"https://ror.org/008ms5s18","country_code":"US","type":"education","lineage":["https://openalex.org/I177898655"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. D. Daniel","raw_affiliation_strings":["Department of Mathematics, Lamar University, Beaumont, TX, 77710, USA","Lamar University, Department of Mathematics, 77710, Beaumont, TX, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lamar University, Beaumont, TX, 77710, USA","institution_ids":["https://openalex.org/I177898655"]},{"raw_affiliation_string":"Lamar University, Department of Mathematics, 77710, Beaumont, TX, USA#TAB#","institution_ids":["https://openalex.org/I177898655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057460107","display_name":"Timothy H. McNicholl","orcid":"https://orcid.org/0000-0001-8334-4367"},"institutions":[{"id":"https://openalex.org/I177898655","display_name":"Lamar University","ror":"https://ror.org/008ms5s18","country_code":"US","type":"education","lineage":["https://openalex.org/I177898655"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy H. McNicholl","raw_affiliation_strings":["Department of Mathematics, Lamar University, Beaumont, TX, 77710, USA","Lamar University, Department of Mathematics, 77710, Beaumont, TX, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lamar University, Beaumont, TX, 77710, USA","institution_ids":["https://openalex.org/I177898655"]},{"raw_affiliation_string":"Lamar University, Department of Mathematics, 77710, Beaumont, TX, USA#TAB#","institution_ids":["https://openalex.org/I177898655"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017630975"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2924,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.81969404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"50","issue":"2","first_page":"370","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9965000152587891,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9965000152587891,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9944999814033508,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.7442322969436646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.616223156452179},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5454907417297363},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.5011825561523438},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4961036145687103},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.47436651587486267},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.473140150308609},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.44639596343040466},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4154365360736847},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3988327980041504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3658829927444458},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3352896571159363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2697685956954956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23289456963539124},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1455446481704712}],"concepts":[{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.7442322969436646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.616223156452179},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5454907417297363},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.5011825561523438},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4961036145687103},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.47436651587486267},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.473140150308609},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.44639596343040466},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4154365360736847},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3988327980041504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3658829927444458},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3352896571159363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2697685956954956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23289456963539124},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1455446481704712},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00224-010-9306-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-010-9306-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309442","display_name":"Lamar University","ror":"https://ror.org/008ms5s18"},{"id":"https://openalex.org/F4320311090","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1416122901","https://openalex.org/W1570973162","https://openalex.org/W1768911329","https://openalex.org/W1964712205","https://openalex.org/W1967057555","https://openalex.org/W1973837133","https://openalex.org/W1978477844","https://openalex.org/W2005038809","https://openalex.org/W2024199467","https://openalex.org/W2028763350","https://openalex.org/W2040879131","https://openalex.org/W2048794017","https://openalex.org/W2056044040","https://openalex.org/W2069733042","https://openalex.org/W2073415241","https://openalex.org/W2074420222","https://openalex.org/W2118251688","https://openalex.org/W2122291521","https://openalex.org/W2157953951","https://openalex.org/W2336922657","https://openalex.org/W2611511037","https://openalex.org/W2769954494","https://openalex.org/W4240774490","https://openalex.org/W4246962530","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4230310508","https://openalex.org/W2055737220","https://openalex.org/W4294294347","https://openalex.org/W2145396827","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W63976795","https://openalex.org/W2404658402","https://openalex.org/W2610298398","https://openalex.org/W4281992692"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}