{"id":"https://openalex.org/W2159706511","doi":"https://doi.org/10.1109/isbi.2006.1625035","title":"Manifold Based Analysis of Diffusion Tensor Images Using Isomaps","display_name":"Manifold Based Analysis of Diffusion Tensor Images Using Isomaps","publication_year":2006,"publication_date":"2006-05-25","ids":{"openalex":"https://openalex.org/W2159706511","doi":"https://doi.org/10.1109/isbi.2006.1625035","mag":"2159706511"},"language":"en","primary_location":{"id":"doi:10.1109/isbi.2006.1625035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2006.1625035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006.","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/A5083518354","display_name":"Ragini Verma","orcid":"https://orcid.org/0000-0002-7479-1007"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. Verma","raw_affiliation_strings":["Section of Biomedical Image Analysis, Department of Radiology, University of Pennsylvania, USA"],"affiliations":[{"raw_affiliation_string":"Section of Biomedical Image Analysis, Department of Radiology, University of Pennsylvania, USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034999945","display_name":"Christos Davatzikos","orcid":"https://orcid.org/0000-0002-1025-8561"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Davatzikos","raw_affiliation_strings":["Section of Biomedical Image Analysis, Department of Radiology, University of Pennsylvania, USA"],"affiliations":[{"raw_affiliation_string":"Section of Biomedical Image Analysis, Department of Radiology, University of Pennsylvania, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083518354"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":null,"apc_paid":null,"fwci":0.9989,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78254528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"290","issue":null,"first_page":"790","last_page":"793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9998999834060669,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/diffusion-mri","display_name":"Diffusion MRI","score":0.6088745594024658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5240224003791809},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5177987813949585},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5042487382888794},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.47291573882102966},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.40611401200294495},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36964547634124756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2804635465145111},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19382566213607788},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17933931946754456},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06926622986793518},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06596106290817261}],"concepts":[{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.6088745594024658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5240224003791809},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5177987813949585},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5042487382888794},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.47291573882102966},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.40611401200294495},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36964547634124756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2804635465145111},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19382566213607788},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17933931946754456},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06926622986793518},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06596106290817261},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isbi.2006.1625035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2006.1625035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1560724230","https://openalex.org/W1792341371","https://openalex.org/W1947363732","https://openalex.org/W1969002377","https://openalex.org/W1977461050","https://openalex.org/W1983496390","https://openalex.org/W2001141328","https://openalex.org/W2001211727","https://openalex.org/W2051781844","https://openalex.org/W2110431535","https://openalex.org/W2116649573","https://openalex.org/W2126187708","https://openalex.org/W2752885492","https://openalex.org/W2759856034","https://openalex.org/W3145128584","https://openalex.org/W3195149063","https://openalex.org/W6640444173"],"related_works":["https://openalex.org/W2092616265","https://openalex.org/W2356293051","https://openalex.org/W4310731465","https://openalex.org/W1577627416","https://openalex.org/W2585346550","https://openalex.org/W2114655919","https://openalex.org/W3108653842","https://openalex.org/W2232347331","https://openalex.org/W2378439240","https://openalex.org/W4225664327"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,26,41,59,63,70,92,97,113],"problem":[4],"of":[5,8,29,40,62,65,100],"statistical":[6,53,115,120,134],"analysis":[7,54,93,116],"diffusion":[9],"tensor":[10,123],"magnetic":[11],"resonance":[12],"images":[13],"(DT-MRI).":[14],"DT-MRI":[15],"cannot":[16],"be":[17],"analyzed":[18],"by":[19,57],"commonly":[20],"used":[21],"linear":[22],"methods,":[23],"due":[24],"to":[25,34,96],"inherent":[27],"non-linearity":[28],"tensors,":[30,88],"which":[31,44],"are":[32,46,77,144],"restricted":[33,95],"lie":[35],"on":[36,55,80,105,138],"a":[37],"non-linear":[38],"sub-manifold":[39],"space":[42],"in":[43],"they":[45],"defined,":[47],"namely":[48],"IR":[49],".":[50,102],"We":[51],"perform":[52],"tensors":[56,66],"identifying":[58],"underlying":[60],"manifold":[61,72,83],"set":[64],"under":[67],"consideration":[68],"using":[69,84],"isomap":[71],"learning":[73],"technique.":[74],"Multivariate":[75],"statistics":[76],"then":[78],"performed":[79],"this":[81],"estimated":[82],"geodesic":[85,142],"distances":[86],"between":[87],"thereby":[89],"warranting":[90],"that":[91,112,136],"is":[94],"proper":[98],"subspace":[99],"R":[101],"Experimental":[103],"results":[104],"data":[106],"with":[107,132],"known":[108],"ground":[109],"truth":[110],"show":[111],"proposed":[114],"method":[117],"properly":[118],"captures":[119],"relationships":[121],"among":[122],"image":[124],"data,":[125],"and":[126],"it":[127],"identifies":[128],"group":[129],"differences.":[130],"Comparisons,":[131],"standard":[133],"analyses":[135],"rely":[137],"Euclidean,":[139],"rather":[140],"than":[141],"distances,":[143],"also":[145],"discussed":[146]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}