{"id":"https://openalex.org/W2060220830","doi":"https://doi.org/10.1109/mlsp.2014.6958878","title":"Invertible nonlinear cluster unwrapping","display_name":"Invertible nonlinear cluster unwrapping","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2060220830","doi":"https://doi.org/10.1109/mlsp.2014.6958878","mag":"2060220830"},"language":"en","primary_location":{"id":"doi:10.1109/mlsp.2014.6958878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mlsp.2014.6958878","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Workshop on Machine Learning for Signal Processing (MLSP)","raw_type":"proceedings-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/A5001271123","display_name":"Matineh Shaker","orcid":null},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matineh Shaker","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Northeastern University, Boston, MA","[Department of Electrical and computer Engineering, Northeastern University, Boston, MA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"[Department of Electrical and computer Engineering, Northeastern University, Boston, MA, USA]","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005950323","display_name":"Jonas Nordhaug Myhre","orcid":"https://orcid.org/0000-0001-9139-1454"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]},{"id":"https://openalex.org/I78037679","display_name":"UiT The Arctic University of Norway","ror":"https://ror.org/00wge5k78","country_code":"NO","type":"education","lineage":["https://openalex.org/I78037679"]}],"countries":["NO","US"],"is_corresponding":false,"raw_author_name":"Jonas N. Myhre","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Northeastern University, Boston, MA","[Department of Physics and Technology, University of Troms\u00f8, Norway]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"[Department of Physics and Technology, University of Troms\u00f8, Norway]","institution_ids":["https://openalex.org/I78037679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070400780","display_name":"Mustafa Devrim Kaba","orcid":null},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Devrim Kaba","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Northeastern University, Boston, MA","[Department of Electrical and computer Engineering, Northeastern University, Boston, MA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"[Department of Electrical and computer Engineering, Northeastern University, Boston, MA, USA]","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083261801","display_name":"Deniz Erdo\u011fmu\u015f","orcid":"https://orcid.org/0000-0002-1114-3539"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]},{"id":"https://openalex.org/I78037679","display_name":"UiT The Arctic University of Norway","ror":"https://ror.org/00wge5k78","country_code":"NO","type":"education","lineage":["https://openalex.org/I78037679"]}],"countries":["NO","US"],"is_corresponding":false,"raw_author_name":"Deniz Erdogmus","raw_affiliation_strings":["Department of Physics and Technology, University of Troms\u2298, Troms\u2298, Norway","[Department of Electrical and computer Engineering, Northeastern University, Boston, MA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Technology, University of Troms\u2298, Troms\u2298, Norway","institution_ids":["https://openalex.org/I78037679"]},{"raw_affiliation_string":"[Department of Electrical and computer Engineering, Northeastern University, Boston, MA, USA]","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7416,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7630726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9990000128746033,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9990000128746033,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9951000213623047,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9909999966621399,"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/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.812559962272644},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.5858278870582581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5029188990592957},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.49834156036376953},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4959612786769867},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4732169210910797},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.44508078694343567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3772341310977936},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3602268099784851},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.28918856382369995},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27125149965286255},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18222862482070923},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09776943922042847}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.812559962272644},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.5858278870582581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5029188990592957},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.49834156036376953},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4959612786769867},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4732169210910797},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.44508078694343567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3772341310977936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3602268099784851},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28918856382369995},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27125149965286255},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18222862482070923},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09776943922042847},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mlsp.2014.6958878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mlsp.2014.6958878","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Workshop on Machine Learning for Signal Processing (MLSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1507084921","https://openalex.org/W1573041381","https://openalex.org/W2001141328","https://openalex.org/W2053186076","https://openalex.org/W2096496077","https://openalex.org/W2097308346","https://openalex.org/W2137570937","https://openalex.org/W2140095548","https://openalex.org/W2155008293","https://openalex.org/W2155298532","https://openalex.org/W2169507824","https://openalex.org/W3013880646","https://openalex.org/W3100742177","https://openalex.org/W4251002338","https://openalex.org/W6674723449","https://openalex.org/W6682989981"],"related_works":["https://openalex.org/W2389732374","https://openalex.org/W2367601375","https://openalex.org/W2391279982","https://openalex.org/W1998565271","https://openalex.org/W2363084134","https://openalex.org/W1614772778","https://openalex.org/W4212946320","https://openalex.org/W2002874472","https://openalex.org/W2042276837","https://openalex.org/W2057574260"],"abstract_inverted_index":{"We":[0],"propose":[1],"that":[2],"the":[3,11,16,48,65,68,78,83,86,90,94,103,110,114,157,170],"orthogonal":[4],"curvilinear":[5,97],"coordinate":[6,98,139,146],"systems":[7],"revealed":[8],"locally":[9],"by":[10,71],"eigenvector":[12,87],"flow":[13],"derived":[14],"from":[15,109,184],"Hessian":[17],"of":[18,47,67,85,93,129],"data":[19,49,55,160],"density":[20,70],"can":[21,35],"be":[22,36,81,123,132],"used":[23],"as":[24,102,153],"a":[25,44,52,73,137,174],"mean":[26],"to":[27,38,42,64,80,89,113,131,142],"obtain":[28],"local":[29],"charts":[30,34],"around":[31],"modes.":[32],"These":[33],"stitched":[37],"form":[39],"an":[40,154],"atlas":[41],"define":[43],"global":[45],"map":[46],"space,":[50],"providing":[51],"base":[53],"for":[54,126],"classification":[56],"or":[57],"clustering.":[58],"A":[59,96],"given":[60],"point":[61,112],"is":[62,99,150,167,182],"projected":[63],"ridges":[66],"probability":[69],"solving":[72,117],"differential":[74,119,176],"equation":[75],"which":[76],"forces":[77],"gradient":[79],"in":[82,169],"direction":[84],"corresponding":[88],"largest":[91],"eigenvalue":[92],"Hessian.":[95],"then":[100],"determined":[101],"curve":[104],"length":[105],"along":[106],"each":[107],"ridge":[108],"projection":[111],"mode.":[115],"Since":[116],"such":[118],"equations":[120],"numerically":[121],"could":[122],"computationally":[124],"prohibitive":[125],"large":[127],"number":[128],"samples":[130],"projected,":[133],"we":[134],"also":[135],"present":[136],"diffeomorphic":[138],"transformation":[140],"model":[141,149,166],"approximate":[143],"these":[144],"Cartesian-to-curvilinear":[145],"mappings.":[147],"The":[148,164,178],"primarily":[151],"conceived":[152],"interpolator,":[155],"and":[156],"landmark":[158],"training":[159],"are":[161],"transformed":[162],"exactly.":[163],"interpolation":[165,180],"regularized":[168],"Tikhonov":[171],"sense":[172],"using":[173],"user-specified":[175],"operator.":[177],"proposed":[179],"methodology":[181],"adapted":[183],"landmark-matching-based":[185],"deformable":[186],"image":[187],"registration":[188],"literature.":[189]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
