{"id":"https://openalex.org/W2168962709","doi":"https://doi.org/10.1109/icip.2004.1421841","title":"Geometric construction of the caustic curves for catadioptric sensors","display_name":"Geometric construction of the caustic curves for catadioptric sensors","publication_year":2005,"publication_date":"2005-04-19","ids":{"openalex":"https://openalex.org/W2168962709","doi":"https://doi.org/10.1109/icip.2004.1421841","mag":"2168962709"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2004.1421841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2004.1421841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 International Conference on Image Processing, 2004. ICIP '04.","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/A5100900358","display_name":"Sio-hoi leng","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sio-hoi leng","raw_affiliation_strings":["Lab. of Instrum. & Syst., Pierre & Marie Curie Univ., Paris, France"],"affiliations":[{"raw_affiliation_string":"Lab. of Instrum. & Syst., Pierre & Marie Curie Univ., Paris, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042087592","display_name":"Ryad Benosman","orcid":"https://orcid.org/0000-0003-0243-944X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Benosman","raw_affiliation_strings":["Laboratory of Instruments and Systems of Ile de France, University of Pierre and Marie Curie, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratory of Instruments and Systems of Ile de France, University of Pierre and Marie Curie, Paris, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100900358"],"corresponding_institution_ids":["https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":0.5875,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7278603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"3387","last_page":"3390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9993000030517578,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/catadioptric-system","display_name":"Catadioptric system","score":0.9849156141281128},{"id":"https://openalex.org/keywords/caustic","display_name":"Caustic (mathematics)","score":0.8528460264205933},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5810426473617554},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5413995981216431},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5380849838256836},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5095134377479553},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.45863592624664307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4474336504936218},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4257749617099762},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36212751269340515},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3383744955062866},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.278409481048584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24587160348892212},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2340361475944519},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22770574688911438},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20047882199287415}],"concepts":[{"id":"https://openalex.org/C153396827","wikidata":"https://www.wikidata.org/wiki/Q1142960","display_name":"Catadioptric system","level":3,"score":0.9849156141281128},{"id":"https://openalex.org/C2779567845","wikidata":"https://www.wikidata.org/wiki/Q3492725","display_name":"Caustic (mathematics)","level":2,"score":0.8528460264205933},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5810426473617554},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5413995981216431},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5380849838256836},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5095134377479553},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.45863592624664307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4474336504936218},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4257749617099762},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36212751269340515},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3383744955062866},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.278409481048584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24587160348892212},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2340361475944519},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22770574688911438},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20047882199287415},{"id":"https://openalex.org/C15336307","wikidata":"https://www.wikidata.org/wiki/Q1766051","display_name":"Lens (geology)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2004.1421841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2004.1421841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 International Conference on Image Processing, 2004. ICIP '04.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1593102294","https://openalex.org/W2021039310","https://openalex.org/W2052230998","https://openalex.org/W2074006886","https://openalex.org/W2085966197","https://openalex.org/W2107738794","https://openalex.org/W2109879161","https://openalex.org/W2160204468","https://openalex.org/W2161546760","https://openalex.org/W4254973754","https://openalex.org/W6675846237"],"related_works":["https://openalex.org/W2084759888","https://openalex.org/W2350925281","https://openalex.org/W2107738794","https://openalex.org/W2117804033","https://openalex.org/W165571211","https://openalex.org/W3138324983","https://openalex.org/W2735015004","https://openalex.org/W2138086577","https://openalex.org/W2050372773","https://openalex.org/W1656264034"],"abstract_inverted_index":{"Most":[0],"of":[1,30,51,64,68,98,107],"the":[2,7,31,65,77,105,108],"catadioptric":[3,23,70],"cameras":[4],"rely":[5],"on":[6,19],"single":[8,21],"view-point":[9],"constraint":[10],"that":[11,72,95],"is":[12],"hardly":[13],"fulfilled.":[14],"There":[15],"exists":[16],"many":[17],"works":[18],"non":[20],"viewpoint":[22],"sensors":[24],"satisfying":[25],"specific":[26,47],"resolutions.":[27],"The":[28,88],"computation":[29],"caustic":[32,66],"curve":[33],"becomes":[34],"essential":[35],"if":[36],"precision":[37],"and":[38,53,80,101],"flexibility":[39],"are":[40,44,96],"aimed.":[41],"Existing":[42],"solutions":[43],"unfortunately":[45],"too":[46],"to":[48,76,85],"a":[49,60,69,82],"class":[50],"curves":[52,79],"need":[54],"heavy":[55],"precomputations.":[56],"This":[57],"paper":[58],"presents":[59],"flexible":[61],"geometric":[62],"construction":[63],"surface":[67],"sensor":[71],"can":[73],"be":[74],"applied":[75],"plane":[78],"under":[81],"tighter":[83],"assumption,":[84],"space":[86],"surfaces.":[87],"method":[89],"holds":[90],"for":[91],"smooth":[92],"mirror":[93],"shapes":[94],"surfaces":[97],"revolution.":[99],"Tests":[100],"experimental":[102],"results":[103],"substantiate":[104],"possibilities":[106],"approach.":[109]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
