{"id":"https://openalex.org/W1619375191","doi":"https://doi.org/10.1007/978-1-84882-299-3_8","title":"On Geometric Transformations of Local Structure Tensors","display_name":"On Geometric Transformations of Local Structure Tensors","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1619375191","doi":"https://doi.org/10.1007/978-1-84882-299-3_8","mag":"1619375191"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-84882-299-3_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-84882-299-3_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210191004","display_name":"Advances in pattern recognition","issn_l":"1617-7916","issn":["1617-7916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Pattern Recognition","raw_type":"book-chapter"},"type":"book-chapter","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/A5031376926","display_name":"Bj\u00f6rn Svensson","orcid":"https://orcid.org/0000-0001-6501-2908"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Bj\u00f6rn Svensson","raw_affiliation_strings":["Department of Biomedical Engineering, CMIV, LiU, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, CMIV, LiU, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103545657","display_name":"Anders Brun","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139401","display_name":"Image Intelligence (Sweden)","ror":"https://ror.org/04v4hfj66","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210139401"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Brun","raw_affiliation_strings":["Centre for Image Analysis, SLU, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Image Analysis, SLU, Uppsala, Sweden","institution_ids":["https://openalex.org/I4210139401"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101759083","display_name":"Mats Andersson","orcid":"https://orcid.org/0000-0003-0705-1954"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Mats Andersson","raw_affiliation_strings":["Department of Biomedical Engineering, CMIV, LiU, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, CMIV, LiU, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073946525","display_name":"Hans Knutsson","orcid":"https://orcid.org/0000-0002-9091-4724"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Hans Knutsson","raw_affiliation_strings":["Department of Biomedical Engineering, CMIV, LiU, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, CMIV, LiU, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031376926"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16009732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9997000098228455,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9954000115394592,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9735999703407288,"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/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.819419801235199},{"id":"https://openalex.org/keywords/local-structure","display_name":"Local structure","score":0.6144863963127136},{"id":"https://openalex.org/keywords/cartesian-tensor","display_name":"Cartesian tensor","score":0.6126014590263367},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.5695335268974304},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5381143689155579},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.534664511680603},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.47155332565307617},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.43371981382369995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38023853302001953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37990957498550415},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33934086561203003},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3354431390762329},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27908188104629517},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1698373258113861},{"id":"https://openalex.org/keywords/tensor-density","display_name":"Tensor density","score":0.12616375088691711},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.09656190872192383}],"concepts":[{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.819419801235199},{"id":"https://openalex.org/C2986090443","wikidata":"https://www.wikidata.org/wiki/Q77870413","display_name":"Local structure","level":2,"score":0.6144863963127136},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.6126014590263367},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.5695335268974304},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5381143689155579},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.534664511680603},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.47155332565307617},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.43371981382369995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38023853302001953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37990957498550415},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33934086561203003},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3354431390762329},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27908188104629517},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1698373258113861},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.12616375088691711},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.09656190872192383},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-84882-299-3_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-84882-299-3_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210191004","display_name":"Advances in pattern recognition","issn_l":"1617-7916","issn":["1617-7916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Pattern Recognition","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6499999761581421,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W79321830","https://openalex.org/W164333521","https://openalex.org/W240769520","https://openalex.org/W274759913","https://openalex.org/W1480546554","https://openalex.org/W1542873368","https://openalex.org/W1545934923","https://openalex.org/W1550847225","https://openalex.org/W1553200558","https://openalex.org/W1581690700","https://openalex.org/W1588304664","https://openalex.org/W1593560795","https://openalex.org/W1807159344","https://openalex.org/W2022735534","https://openalex.org/W2089873510","https://openalex.org/W2094682431","https://openalex.org/W2098979973","https://openalex.org/W2111308925","https://openalex.org/W2147828898","https://openalex.org/W2151164370","https://openalex.org/W2496526329"],"related_works":["https://openalex.org/W1020620338","https://openalex.org/W1036286070","https://openalex.org/W2409450448","https://openalex.org/W2372486955","https://openalex.org/W2138013202","https://openalex.org/W4385733071","https://openalex.org/W2247326821","https://openalex.org/W2966740236","https://openalex.org/W63853075","https://openalex.org/W1619375191"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}