{"id":"https://openalex.org/W3043205968","doi":"https://doi.org/10.1093/comjnl/bxaa036","title":"On the Behaviour of p -Adic Scaled Space Filling Curve Indices for High-Dimensional Data","display_name":"On the Behaviour of p -Adic Scaled Space Filling Curve Indices for High-Dimensional Data","publication_year":2020,"publication_date":"2020-03-16","ids":{"openalex":"https://openalex.org/W3043205968","doi":"https://doi.org/10.1093/comjnl/bxaa036","mag":"3043205968"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxaa036","is_oa":true,"landing_page_url":"https://doi.org/10.1093/comjnl/bxaa036","pdf_url":"https://academic.oup.com/comjnl/advance-article-pdf/doi/10.1093/comjnl/bxaa036/33488620/bxaa036.pdf","source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/comjnl/advance-article-pdf/doi/10.1093/comjnl/bxaa036/33488620/bxaa036.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004777755","display_name":"Patrick Erik Bradley","orcid":"https://orcid.org/0000-0001-5595-490X"},"institutions":[{"id":"https://openalex.org/I2801670068","display_name":"American Society for Photogrammetry and Remote Sensing","ror":"https://ror.org/041v7ky66","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2801670068"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Patrick Erik Bradley","raw_affiliation_strings":["Institute of Photogrammetry and Remote Sensing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Photogrammetry and Remote Sensing","institution_ids":["https://openalex.org/I2801670068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020383639","display_name":"Markus Jahn","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"id":"https://openalex.org/I4210091918","display_name":"Geodetic Institute of Slovenia","ror":"https://ror.org/00fq5tf47","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210091918"]}],"countries":["DE","SI"],"is_corresponding":false,"raw_author_name":"Markus Wilhelm Jahn","raw_affiliation_strings":["Geodetic Institute; Karlsruhe Institute of Technology, Englerstr. 7, 76131 Karlsruhe, Germany","Geodetic Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Geodetic Institute; Karlsruhe Institute of Technology, Englerstr. 7, 76131 Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Geodetic Institute","institution_ids":["https://openalex.org/I4210091918"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004777755"],"corresponding_institution_ids":["https://openalex.org/I2801670068"],"apc_list":{"value":2877,"currency":"GBP","value_usd":3794},"apc_paid":null,"fwci":1.1236,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74441712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"65","issue":"2","first_page":"310","last_page":"330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9883000254631042,"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/hilbert-curve","display_name":"Hilbert curve","score":0.9030742049217224},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7978856563568115},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6653218269348145},{"id":"https://openalex.org/keywords/search-engine-indexing","display_name":"Search engine indexing","score":0.652920126914978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5777426958084106},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5647251605987549},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.5011792182922363},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.4866109788417816},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4829637110233307},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4763389229774475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38649681210517883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3206366300582886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30189040303230286},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.12864118814468384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07801938056945801}],"concepts":[{"id":"https://openalex.org/C2781142347","wikidata":"https://www.wikidata.org/wiki/Q1366592","display_name":"Hilbert curve","level":2,"score":0.9030742049217224},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7978856563568115},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6653218269348145},{"id":"https://openalex.org/C75165309","wikidata":"https://www.wikidata.org/wiki/Q2258979","display_name":"Search engine indexing","level":2,"score":0.652920126914978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5777426958084106},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5647251605987549},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.5011792182922363},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.4866109788417816},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4829637110233307},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4763389229774475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38649681210517883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3206366300582886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30189040303230286},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.12864118814468384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07801938056945801},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comjnl/bxaa036","is_oa":true,"landing_page_url":"https://doi.org/10.1093/comjnl/bxaa036","pdf_url":"https://academic.oup.com/comjnl/advance-article-pdf/doi/10.1093/comjnl/bxaa036/33488620/bxaa036.pdf","source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1093/comjnl/bxaa036","is_oa":true,"landing_page_url":"https://doi.org/10.1093/comjnl/bxaa036","pdf_url":"https://academic.oup.com/comjnl/advance-article-pdf/doi/10.1093/comjnl/bxaa036/33488620/bxaa036.pdf","source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4941585392","display_name":null,"funder_award_id":"BR 3513/12-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G906259946","display_name":null,"funder_award_id":"BR 2128 /18-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3043205968.pdf","grobid_xml":"https://content.openalex.org/works/W3043205968.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1594650088","https://openalex.org/W1983628152","https://openalex.org/W1995622714","https://openalex.org/W1996199544","https://openalex.org/W2001619934","https://openalex.org/W2040879131","https://openalex.org/W2052558531","https://openalex.org/W2072605585","https://openalex.org/W2083774980","https://openalex.org/W2102224351","https://openalex.org/W2110575059","https://openalex.org/W2256385378","https://openalex.org/W2281447886","https://openalex.org/W2345534141","https://openalex.org/W2497923020","https://openalex.org/W2546843688","https://openalex.org/W2601602930","https://openalex.org/W2914880592","https://openalex.org/W2952460511","https://openalex.org/W3216147140","https://openalex.org/W4213233865","https://openalex.org/W4243386153","https://openalex.org/W4246962530","https://openalex.org/W6600156646","https://openalex.org/W6625709014","https://openalex.org/W6631286977","https://openalex.org/W6676751472","https://openalex.org/W6727896735","https://openalex.org/W6804434002"],"related_works":["https://openalex.org/W2085845096","https://openalex.org/W2901775675","https://openalex.org/W2150548090","https://openalex.org/W2097212553","https://openalex.org/W2412078306","https://openalex.org/W981804168","https://openalex.org/W2031940456","https://openalex.org/W2963337214","https://openalex.org/W2111543029","https://openalex.org/W2952369916"],"abstract_inverted_index":{"Abstract":[0],"Space":[1],"filling":[2],"curves":[3,13,46],"are":[4,20],"widely":[5],"used":[6,21],"in":[7],"computer":[8],"science.":[9],"In":[10],"particular,":[11],"Hilbert":[12,45,90],"and":[14,57,107],"their":[15,28],"generalizations":[16],"to":[17,37,80,99],"higher":[18],"dimension":[19,77],"as":[22],"an":[23],"indexing":[24,61],"method":[25,62],"because":[26],"of":[27,41,44,52,104],"nice":[29],"locality":[30],"properties.":[31],"This":[32],"article":[33],"generalizes":[34],"this":[35],"concept":[36],"the":[38,53,86,101],"systematic":[39],"construction":[40],"$p$-adic":[42,54],"versions":[43],"based":[47,69],"on":[48,70,110],"special":[49],"affine":[50],"transformations":[51],"Gray":[55],"code":[56],"develops":[58],"a":[59,105],"scaled":[60],"for":[63],"data":[64],"taken":[65],"from":[66],"high-dimensional":[67],"spaces":[68],"these":[71],"new":[72],"curves,":[73],"which":[74,97],"with":[75],"increasing":[76],"is":[78,95,108],"shown":[79],"be":[81],"less":[82],"space":[83],"consuming":[84],"than":[85],"optimal":[87],"standard":[88],"static":[89],"curve":[91],"index.":[92],"A":[93],"measure":[94],"derived,":[96],"allows":[98],"assess":[100],"local":[102],"sparsity":[103],"dataset,":[106],"tested":[109],"some":[111],"real-world":[112],"data.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}