{"id":"https://openalex.org/W2083102343","doi":"https://doi.org/10.1109/tip.2008.2007050","title":"A Unifying Approach to Moment-Based Shape Orientation and Symmetry Classification","display_name":"A Unifying Approach to Moment-Based Shape Orientation and Symmetry Classification","publication_year":2008,"publication_date":"2008-12-03","ids":{"openalex":"https://openalex.org/W2083102343","doi":"https://doi.org/10.1109/tip.2008.2007050","mag":"2083102343","pmid":"https://pubmed.ncbi.nlm.nih.gov/19095524"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2008.2007050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2008.2007050","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://eprints.nottingham.ac.uk/31407/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024224610","display_name":"Georgios Tzimiropoulos","orcid":"https://orcid.org/0000-0002-1803-5338"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"G. Tzimiropoulos","raw_affiliation_strings":["Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK. gt204@ic.ac.uk","Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK. gt204@ic.ac.uk","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064706177","display_name":"Nikolaos Mitianoudis","orcid":"https://orcid.org/0000-0003-0898-6102"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"N. Mitianoudis","raw_affiliation_strings":["Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028031376","display_name":"Tania Stathaki","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"T. Stathaki","raw_affiliation_strings":["Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communications and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.42,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83383718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"1","first_page":"125","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9957000017166138,"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":0.9957000017166138,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9945999979972839,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9936000108718872,"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/moment","display_name":"Moment (physics)","score":0.6701749563217163},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.6584010124206543},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5811524391174316},{"id":"https://openalex.org/keywords/image-moment","display_name":"Image moment","score":0.5444303154945374},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5000874996185303},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49860095977783203},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4799402356147766},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47742876410484314},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.4737071692943573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4672189950942993},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4493383765220642},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.44030922651290894},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4388901889324188},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.43355047702789307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43251487612724304},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.43006742000579834},{"id":"https://openalex.org/keywords/feature-extraction","display_name":"Feature extraction","score":0.4202389419078827},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3982101082801819},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2626655697822571},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2521297037601471},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2371503710746765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08141806721687317}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6701749563217163},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.6584010124206543},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5811524391174316},{"id":"https://openalex.org/C108311513","wikidata":"https://www.wikidata.org/wiki/Q841934","display_name":"Image moment","level":4,"score":0.5444303154945374},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5000874996185303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49860095977783203},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4799402356147766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47742876410484314},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.4737071692943573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4672189950942993},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4493383765220642},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.44030922651290894},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4388901889324188},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.43355047702789307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43251487612724304},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.43006742000579834},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.4202389419078827},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3982101082801819},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2626655697822571},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2521297037601471},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2371503710746765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08141806721687317},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1109/tip.2008.2007050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2008.2007050","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:19095524","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19095524","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:eprints.nottingham.ac.uk:31407","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/31407/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:figshare.com:article/24409162","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_unifying_approach_to_moment-based_shape_orientation_and_symmetry_classification/24409162","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:nottingham-repository.worktribe.com:1014037","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/1014037","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:eprints.nottingham.ac.uk:31407","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/31407/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1979887666","https://openalex.org/W1986458951","https://openalex.org/W1989630640","https://openalex.org/W2000775874","https://openalex.org/W2009063666","https://openalex.org/W2009952981","https://openalex.org/W2013416776","https://openalex.org/W2049389371","https://openalex.org/W2071531001","https://openalex.org/W2073565697","https://openalex.org/W2086540813","https://openalex.org/W2094639676","https://openalex.org/W2112828722","https://openalex.org/W2119782970","https://openalex.org/W2128654298","https://openalex.org/W2145582109","https://openalex.org/W2147555557","https://openalex.org/W2152035672","https://openalex.org/W2153464685","https://openalex.org/W2160269836","https://openalex.org/W2163337229","https://openalex.org/W2912837782","https://openalex.org/W4247690975","https://openalex.org/W4256068510","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2381926679","https://openalex.org/W1980381208","https://openalex.org/W2082644203","https://openalex.org/W3165040664","https://openalex.org/W2008387325","https://openalex.org/W2140317901","https://openalex.org/W2078981415","https://openalex.org/W2027585167","https://openalex.org/W2021480310","https://openalex.org/W2078803154"],"abstract_inverted_index":{"In":[0,79],"this":[1,56,91],"paper,":[2],"the":[3,49,52,80,87,130,139,147],"problem":[4],"of":[5,19,29,82,90,113,142],"moment-based":[6,23,66,103,143],"shape":[7,76,134],"orientation":[8],"and":[9,17,39,42,58,85,117],"symmetry":[10,59,83],"classification":[11,84],"is":[12,25,138],"jointly":[13],"considered.":[14],"A":[15],"generalization":[16],"modification":[18],"current":[20],"state-of-the-art":[21,159],"geometric":[22],"functions":[24,31],"introduced.":[26],"The":[27,68,126,151],"properties":[28],"these":[30],"are":[32,45],"investigated":[33],"thoroughly":[34],"using":[35,123],"Fourier":[36,111],"series":[37],"analysis":[38,70],"several":[40],"observations":[41],"closed-form":[43],"solutions":[44],"derived.":[46],"We":[47],"demonstrate":[48],"connection":[50],"between":[51],"results":[53],"presented":[54],"in":[55,146],"work":[57,92],"detection":[60,121],"principles":[61],"suggested":[62],"from":[63],"previous":[64],"complex":[65,115],"formulations.":[67],"proposed":[69,127,152],"offers":[71],"a":[72,94,101,108,118],"unifying":[73],"framework":[74,153],"for":[75,132],"orientation/symmetry":[77],"detection.":[78],"context":[81],"matching,":[86],"second":[88],"part":[89],"presents":[93],"frequency":[95],"domain":[96],"method,":[97],"aiming":[98],"at":[99],"computing":[100],"robust":[102],"feature":[104],"set":[105],"based":[106],"on":[107],"true":[109],"polar":[110],"representation":[112],"image":[114,148],"gradients":[116],"novel":[119],"periodicity":[120],"scheme":[122],"subspace":[124],"analysis.":[125],"approach":[128],"removes":[129],"requirement":[131],"accurate":[133],"centroid":[135],"estimation,":[136],"which":[137],"main":[140],"limitation":[141],"methods,":[144],"operating":[145],"spatial":[149],"domain.":[150],"demonstrated":[154],"improved":[155],"performance,":[156],"compared":[157],"to":[158],"methods.":[160]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
