{"id":"https://openalex.org/W2138025728","doi":"https://doi.org/10.1109/icassp.2009.4959824","title":"Novel similarity invariant for space curves using turning angles and its application to object recognition","display_name":"Novel similarity invariant for space curves using turning angles and its application to object recognition","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2138025728","doi":"https://doi.org/10.1109/icassp.2009.4959824","mag":"2138025728"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2009.4959824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4959824","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","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/A5083368272","display_name":"Djamila Aouada","orcid":"https://orcid.org/0000-0002-7576-2064"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Djamila Aouada","raw_affiliation_strings":["ECE Department, NCSU, Raleigh, NC, USA","NCSU, ECE Dept., Raleigh, NC 27695-7911, USA"],"affiliations":[{"raw_affiliation_string":"ECE Department, NCSU, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"NCSU, ECE Dept., Raleigh, NC 27695-7911, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030154118","display_name":"Hamid Krim","orcid":"https://orcid.org/0000-0003-4971-1690"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamid Krim","raw_affiliation_strings":["ECE Department, NCSU, Raleigh, NC, USA","NCSU, ECE Dept., Raleigh, NC 27695-7911, USA"],"affiliations":[{"raw_affiliation_string":"ECE Department, NCSU, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"NCSU, ECE Dept., Raleigh, NC 27695-7911, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083368272"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18051811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1277","last_page":"1280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9980000257492065,"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":0.9970999956130981,"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/invariant","display_name":"Invariant (physics)","score":0.7292232513427734},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6071639657020569},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5977512001991272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5438956618309021},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.5009298324584961},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.4368179440498352},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4032820463180542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3859519958496094},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3676857054233551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35158365964889526},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.34183692932128906},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.327146053314209},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3201409578323364},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19093945622444153},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10968422889709473}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7292232513427734},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6071639657020569},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5977512001991272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5438956618309021},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.5009298324584961},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.4368179440498352},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4032820463180542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3859519958496094},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3676857054233551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35158365964889526},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34183692932128906},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.327146053314209},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3201409578323364},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19093945622444153},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10968422889709473},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2009.4959824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4959824","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/10564","is_oa":false,"landing_page_url":"https://orbilu.uni.lu/handle/10993/10564","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE International Conference on Acoustics, Speech and Signal Processing, 2009. ICASSP 2009 (pp. 1277 - 1280).  (2009).","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"},{"score":0.46000000834465027,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W109390732","https://openalex.org/W1562047587","https://openalex.org/W2005168270","https://openalex.org/W2061196326","https://openalex.org/W2088661553","https://openalex.org/W2104733593","https://openalex.org/W2150179889","https://openalex.org/W2914679068","https://openalex.org/W2993383518","https://openalex.org/W3099773806"],"related_works":["https://openalex.org/W2361271799","https://openalex.org/W2577818139","https://openalex.org/W47544861","https://openalex.org/W123898865","https://openalex.org/W2912635026","https://openalex.org/W2391887161","https://openalex.org/W2358302317","https://openalex.org/W4302552130","https://openalex.org/W2390580168","https://openalex.org/W1671552943"],"abstract_inverted_index":{"We":[0,54],"present":[1],"a":[2,45,79,93],"new":[3],"similarity":[4],"invariant":[5,114],"signature":[6,11],"for":[7],"space":[8,50],"curves.":[9,100],"This":[10],"is":[12],"based":[13],"on":[14,33,48],"the":[15,19,24,27,34,49,52,63,75,97,113],"information":[16],"contained":[17],"in":[18,67],"turning":[20],"angles":[21],"of":[22,40,51,84,96,116],"both":[23],"tangent":[25],"and":[26,111],"binormal":[28],"vectors":[29],"at":[30,74],"each":[31],"point":[32],"curve.":[35],"For":[36],"an":[37],"accurate":[38],"comparison":[39],"these":[41],"signatures,":[42],"we":[43,65,102],"define":[44,66],"Riemannian":[46],"metric":[47],"invariant.":[53],"show":[55],"through":[56],"relevant":[57],"examples":[58],"that,":[59],"unlike":[60],"classical":[61],"invariants,":[62],"one":[64],"this":[68],"paper":[69],"enjoys":[70],"multiple":[71],"important":[72],"properties":[73],"same":[76],"time,":[77],"namely,":[78],"high":[80],"discrimination":[81],"level,":[82],"independence":[83],"any":[85],"reference":[86],"point,":[87],"uniqueness":[88],"property,":[89],"as":[90,92],"well":[91],"good":[94],"preservation":[95],"correspondence":[98],"between":[99],"Moreover,":[101],"illustrate":[103],"how":[104],"to":[105],"match":[106],"3D":[107],"objects":[108],"by":[109],"extracting":[110],"comparing":[112],"signatures":[115],"their":[117],"curved":[118],"skeletons.":[119]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}