{"id":"https://openalex.org/W4296348424","doi":"https://doi.org/10.1142/s0218195922500066","title":"On the Reconstruction of Geodesic Subspaces of \u211dN","display_name":"On the Reconstruction of Geodesic Subspaces of \u211dN","publication_year":2022,"publication_date":"2022-03-01","ids":{"openalex":"https://openalex.org/W4296348424","doi":"https://doi.org/10.1142/s0218195922500066"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195922500066","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195922500066","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","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/A5063015907","display_name":"Brittany Terese Fasy","orcid":"https://orcid.org/0000-0003-1908-0154"},"institutions":[{"id":"https://openalex.org/I23732399","display_name":"Montana State University","ror":"https://ror.org/02w0trx84","country_code":"US","type":"education","lineage":["https://openalex.org/I23732399","https://openalex.org/I4210126032"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brittany Terese Fasy","raw_affiliation_strings":["School of Computing & Dept. Mathematical Sciences, Montana, State University, Bozeman, MT 59717 USA"],"affiliations":[{"raw_affiliation_string":"School of Computing & Dept. Mathematical Sciences, Montana, State University, Bozeman, MT 59717 USA","institution_ids":["https://openalex.org/I23732399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016707105","display_name":"Rafa\u0142 Komendarczyk","orcid":"https://orcid.org/0000-0001-7347-5240"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rafal Komendarczyk","raw_affiliation_strings":["Mathematics, Tulane University, New Orleans, LA 70118 USA"],"affiliations":[{"raw_affiliation_string":"Mathematics, Tulane University, New Orleans, LA 70118 USA","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021160042","display_name":"Sushovan Majhi","orcid":"https://orcid.org/0000-0001-8689-4321"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sushovan Majhi","raw_affiliation_strings":["School of Information, University of California, Berkeley, CA 94720 USA"],"affiliations":[{"raw_affiliation_string":"School of Information, University of California, Berkeley, CA 94720 USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054903605","display_name":"Carola Wenk","orcid":"https://orcid.org/0000-0001-9275-5336"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carola Wenk","raw_affiliation_strings":["Computer Science, Tulane University, New Orleans, LA 70118 USA"],"affiliations":[{"raw_affiliation_string":"Computer Science, Tulane University, New Orleans, LA 70118 USA","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021160042"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.7303,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73696522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"32","issue":"01n02","first_page":"91","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9994999766349792,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.942799985408783,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.8494902849197388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7646945118904114},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7053967118263245},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6750773787498474},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6476508975028992},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.6139650940895081},{"id":"https://openalex.org/keywords/geodesic-map","display_name":"Geodesic map","score":0.4802575409412384},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4260811507701874},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3845308721065521},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35815200209617615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3246012032032013}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8494902849197388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7646945118904114},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7053967118263245},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6750773787498474},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6476508975028992},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.6139650940895081},{"id":"https://openalex.org/C162269530","wikidata":"https://www.wikidata.org/wiki/Q17100560","display_name":"Geodesic map","level":3,"score":0.4802575409412384},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4260811507701874},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3845308721065521},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35815200209617615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3246012032032013},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195922500066","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195922500066","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G1534949823","display_name":null,"funder_award_id":"CCF-1618469","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6780828655","display_name":null,"funder_award_id":"CCF-1618469","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W127493627","https://openalex.org/W327529882","https://openalex.org/W582625930","https://openalex.org/W1483679902","https://openalex.org/W1486210143","https://openalex.org/W1583799621","https://openalex.org/W1630072945","https://openalex.org/W1658634785","https://openalex.org/W1671098680","https://openalex.org/W1830894108","https://openalex.org/W1980200998","https://openalex.org/W1983082556","https://openalex.org/W1986537307","https://openalex.org/W2001887552","https://openalex.org/W2002053510","https://openalex.org/W2014995425","https://openalex.org/W2063776392","https://openalex.org/W2078997501","https://openalex.org/W2157324658","https://openalex.org/W2157878484","https://openalex.org/W2160478694","https://openalex.org/W2215934091","https://openalex.org/W2486762503","https://openalex.org/W2751433498","https://openalex.org/W2912594341","https://openalex.org/W2964171072","https://openalex.org/W2998276629","https://openalex.org/W4237809015","https://openalex.org/W4249413533","https://openalex.org/W4285451384","https://openalex.org/W4301132132"],"related_works":["https://openalex.org/W4377245811","https://openalex.org/W4281256013","https://openalex.org/W2941285539","https://openalex.org/W286947431","https://openalex.org/W4298140757","https://openalex.org/W2130044423","https://openalex.org/W4242902073","https://openalex.org/W4206698794","https://openalex.org/W4287661821","https://openalex.org/W2154521153"],"abstract_inverted_index":{"We":[0,43],"consider":[1,44],"the":[2,17,32,38,41,45,55,81,90,114,144],"topological":[3],"and":[4,19,47,65,77,92,101,105],"geometric":[5,134],"reconstruction":[6,29,56],"of":[7,11,74,111,113,120],"a":[8,23,59,71,131,138],"geodesic":[9,60,115,118],"subspace":[10,61],"[Formula:":[12,102,121],"see":[13,103,122],"text]":[14],"both":[15],"from":[16,80],"\u010cech":[18],"Vietoris-Rips":[20],"filtrations":[21],"on":[22,40,97],"finite,":[24],"Hausdorff-close,":[25],"Euclidean":[26],"sample.":[27,82],"Our":[28],"technique":[30,84],"leverages":[31],"intrinsic":[33],"length":[34],"metric":[35],"induced":[36],"by":[37],"geodesics":[39],"subspace.":[42,116],"distortion":[46,64],"convexity":[48,67],"radius":[49],"as":[50],"our":[51],"sampling":[52,87],"parameters":[53],"for":[54],"problem.":[57],"For":[58,117],"with":[62],"finite":[63],"positive":[66],"radius,":[68],"we":[69,124],"guarantee":[70],"correct":[72],"computation":[73],"its":[75],"homotopy":[76,132],"homology":[78],"groups":[79],"This":[83],"provides":[85],"alternative":[86],"conditions":[88,95],"to":[89,129,143],"existing":[91],"commonly":[93],"used":[94],"based":[96],"weak":[98],"feature":[99],"size":[100],"text]\u2013reach,":[104],"performs":[106],"better":[107],"under":[108],"certain":[109],"types":[110],"perturbations":[112],"subspaces":[119],"text],":[123],"also":[125],"devise":[126],"an":[127],"algorithm":[128],"output":[130],"equivalent":[133],"complex":[135],"that":[136],"has":[137],"very":[139],"small":[140],"Hausdorff":[141],"distance":[142],"unknown":[145],"underlying":[146],"space.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-09-20T00:00:00"}
