{"id":"https://openalex.org/W2259559537","doi":"https://doi.org/10.1007/978-3-319-24947-6_7","title":"Introducing Maximal Anisotropy into Second Order Coupling Models","display_name":"Introducing Maximal Anisotropy into Second Order Coupling Models","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2259559537","doi":"https://doi.org/10.1007/978-3-319-24947-6_7","mag":"2259559537"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-24947-6_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-24947-6_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-319-24947-6_7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070914100","display_name":"David Hafner","orcid":"https://orcid.org/0000-0001-6752-1714"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"David Hafner","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Campus E1.7, 66041, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Campus E1.7, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052388616","display_name":"Christopher Schroers","orcid":"https://orcid.org/0000-0003-1473-1878"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christopher Schroers","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Campus E1.7, 66041, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Campus E1.7, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007086183","display_name":"Joachim Weickert","orcid":"https://orcid.org/0000-0002-8494-0045"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Weickert","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Campus E1.7, 66041, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Campus E1.7, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070914100"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":3.2259,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.93496954,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"79","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9987000226974487,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9983000159263611,"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/computer-science","display_name":"Computer science","score":0.7684667110443115},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.7244092226028442},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.7212426662445068},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6852607727050781},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6296442747116089},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6162475347518921},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.6032719016075134},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.5729684829711914},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5163565874099731},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4716814160346985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45162102580070496},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43403348326683044},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4077955484390259},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35061872005462646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33569252490997314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30973750352859497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17096003890037537},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14561685919761658},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.14390337467193604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1290293037891388},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.09361660480499268}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7684667110443115},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7244092226028442},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.7212426662445068},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6852607727050781},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6296442747116089},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6162475347518921},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6032719016075134},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.5729684829711914},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5163565874099731},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4716814160346985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45162102580070496},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43403348326683044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4077955484390259},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35061872005462646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33569252490997314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30973750352859497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17096003890037537},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14561685919761658},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.14390337467193604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1290293037891388},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.09361660480499268},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-24947-6_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-24947-6_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-24947-6_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-24947-6_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W9547233","https://openalex.org/W23980207","https://openalex.org/W159552375","https://openalex.org/W196977925","https://openalex.org/W259953936","https://openalex.org/W303181297","https://openalex.org/W843068708","https://openalex.org/W1480546554","https://openalex.org/W1697939221","https://openalex.org/W1965527350","https://openalex.org/W1985231173","https://openalex.org/W1988735598","https://openalex.org/W1998910452","https://openalex.org/W2000594266","https://openalex.org/W2001933992","https://openalex.org/W2005828372","https://openalex.org/W2010719245","https://openalex.org/W2028555274","https://openalex.org/W2031555400","https://openalex.org/W2037981501","https://openalex.org/W2039939700","https://openalex.org/W2043796649","https://openalex.org/W2069947795","https://openalex.org/W2080883550","https://openalex.org/W2126926806","https://openalex.org/W2128254445","https://openalex.org/W2131168375","https://openalex.org/W2135036909","https://openalex.org/W2153388956","https://openalex.org/W2156956645","https://openalex.org/W2166774562","https://openalex.org/W2170163526"],"related_works":["https://openalex.org/W2097618123","https://openalex.org/W2486669035","https://openalex.org/W1965183937","https://openalex.org/W2002964458","https://openalex.org/W4293660770","https://openalex.org/W4243332399","https://openalex.org/W4237298715","https://openalex.org/W1995301894","https://openalex.org/W1501537957","https://openalex.org/W2273543909"],"abstract_inverted_index":{"On":[0,21],"the":[1,22,29,43,87,113,120,126],"one":[2],"hand,":[3,24],"anisotropic":[4,79],"diffusion":[5],"is":[6,40,117],"a":[7,53,66],"well-established":[8],"concept":[9],"that":[10,57],"has":[11],"improved":[12],"numerous":[13],"computer":[14],"vision":[15],"approaches":[16],"by":[17,92,108,112],"permitting":[18],"direction-dependent":[19,67],"smoothing.":[20],"other":[23],"recent":[25],"applications":[26],"have":[27],"uncovered":[28],"importance":[30],"of":[31,37,45,89],"second":[32,54],"order":[33,55,83],"regularisation.":[34],"The":[35],"goal":[36],"this":[38,49],"work":[39],"to":[41,59,97],"combine":[42],"benefits":[44,88],"both":[46,61],"worlds.":[47],"To":[48],"end,":[50],"we":[51],"propose":[52],"regulariser":[56],"allows":[58],"penalise":[60],"jumps":[62],"and":[63,76,94,110,119],"kinks":[64],"in":[65],"way.":[68],"We":[69,85],"start":[70],"with":[71],"an":[72,99],"isotropic":[73],"coupling":[74],"model,":[75],"systematically":[77],"introduce":[78],"concepts":[80],"from":[81],"first":[82],"approaches.":[84],"demonstrate":[86],"our":[90],"model":[91],"experiments,":[93],"apply":[95],"it":[96],"improve":[98],"existing":[100],"focus":[101],"fusion":[102],"method.":[103],"These":[104],"keywords":[105,121],"were":[106],"added":[107],"machine":[109],"not":[111],"authors.":[114],"This":[115],"process":[116],"experimental":[118],"may":[122],"be":[123],"updated":[124],"as":[125],"learning":[127],"algorithm":[128],"improves.":[129]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
