{"id":"https://openalex.org/W2105165055","doi":"https://doi.org/10.1142/s021819590600204x","title":"AN ALGEBRAIC TOPOLOGICAL METHOD FOR FEATURE IDENTIFICATION","display_name":"AN ALGEBRAIC TOPOLOGICAL METHOD FOR FEATURE IDENTIFICATION","publication_year":2006,"publication_date":"2006-08-01","ids":{"openalex":"https://openalex.org/W2105165055","doi":"https://doi.org/10.1142/s021819590600204x","mag":"2105165055"},"language":"en","primary_location":{"id":"doi:10.1142/s021819590600204x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819590600204x","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/A5071520587","display_name":"Erik Carlsson","orcid":"https://orcid.org/0000-0002-2212-427X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"ERIK CARLSSON","raw_affiliation_strings":["Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA","Department of Mathematics , Princeton University , Fine Hall, Washington Road , Princeton , NJ 08544-1000 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Mathematics , Princeton University , Fine Hall, Washington Road , Princeton , NJ 08544-1000 , USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101780634","display_name":"Gunnar Carlsson","orcid":"https://orcid.org/0000-0002-0591-5475"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"GUNNAR CARLSSON","raw_affiliation_strings":["Department of Mathematics, Stanford University, 450 Serra Mall, Stanford, CA 94305-2125, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stanford University, 450 Serra Mall, Stanford, CA 94305-2125, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045901848","display_name":"Vin de Silva","orcid":null},"institutions":[{"id":"https://openalex.org/I177881444","display_name":"Pomona College","ror":"https://ror.org/0074grg94","country_code":"US","type":"education","lineage":["https://openalex.org/I177881444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"VIN DE SILVA","raw_affiliation_strings":["Department of Mathematics, Pomona College, 610 N. College Avenue, Claremont, CA 91711-4411, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pomona College, 610 N. College Avenue, Claremont, CA 91711-4411, USA","institution_ids":["https://openalex.org/I177881444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071520587"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":3.7076,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.93192167,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"04","first_page":"291","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9975000023841858,"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/T11106","display_name":"Data Management and Algorithms","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.6713559031486511},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5576982498168945},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.5567752122879028},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5436926484107971},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5208219289779663},{"id":"https://openalex.org/keywords/tangent-bundle","display_name":"Tangent bundle","score":0.5045517683029175},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5009927749633789},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.47416749596595764},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46298515796661377},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41686737537384033},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37879878282546997},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3259822130203247},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.2875196635723114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2869969606399536},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2060282826423645},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2005109190940857},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19305956363677979},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11049637198448181},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10381034016609192}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6713559031486511},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5576982498168945},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5567752122879028},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5436926484107971},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5208219289779663},{"id":"https://openalex.org/C28903235","wikidata":"https://www.wikidata.org/wiki/Q746550","display_name":"Tangent bundle","level":3,"score":0.5045517683029175},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5009927749633789},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.47416749596595764},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46298515796661377},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41686737537384033},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37879878282546997},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3259822130203247},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.2875196635723114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2869969606399536},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2060282826423645},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2005109190940857},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19305956363677979},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11049637198448181},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10381034016609192},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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":2,"locations":[{"id":"doi:10.1142/s021819590600204x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819590600204x","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.90.4167","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.4167","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.stanford.edu/~silva/public/papers/id.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W1491930810","https://openalex.org/W1510481520","https://openalex.org/W1522020530","https://openalex.org/W1540762735","https://openalex.org/W1554944419","https://openalex.org/W1573696255","https://openalex.org/W2001141328","https://openalex.org/W2014530345","https://openalex.org/W2120506491","https://openalex.org/W2125685777","https://openalex.org/W2144044408","https://openalex.org/W2153986241","https://openalex.org/W3013843370","https://openalex.org/W3040586665","https://openalex.org/W3099514962","https://openalex.org/W3139066715","https://openalex.org/W4292023222","https://openalex.org/W4292159986"],"related_works":["https://openalex.org/W4282934273","https://openalex.org/W2385887640","https://openalex.org/W2056221643","https://openalex.org/W3167177852","https://openalex.org/W2900336061","https://openalex.org/W4323669902","https://openalex.org/W2747304819","https://openalex.org/W1602640137","https://openalex.org/W4297733448","https://openalex.org/W3143577702"],"abstract_inverted_index":{"We":[0,65],"develop":[1,59],"a":[2,10,17,23,37,51],"mathematical":[3],"framework":[4,54],"for":[5,40,61],"describing":[6],"local":[7],"features":[8],"of":[9,16,22,26,36,50,69],"geometric":[11,74],"object\u2014such":[12],"as":[13],"the":[14,20,34,46],"edges":[15],"square":[18],"or":[19],"apex":[21],"cone\u2014in":[24],"terms":[25],"algebraic":[27],"topological":[28],"invariants.":[29],"The":[30],"main":[31],"tool":[32],"is":[33],"construction":[35],"\"tangent":[38],"complex\"":[39],"an":[41],"arbitrary":[42],"geometrical":[43],"object,":[44],"generalising":[45],"usual":[47],"tangent":[48],"bundle":[49],"manifold.":[52],"This":[53],"can":[55],"be":[56],"used":[57],"to":[58,73],"algorithms":[60,72],"automatic":[62],"feature":[63],"location.":[64],"give":[66],"several":[67],"examples":[68],"applying":[70],"such":[71],"objects":[75],"represented":[76],"by":[77],"point-cloud":[78],"data":[79],"sets.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
