{"id":"https://openalex.org/W1970792597","doi":"https://doi.org/10.1117/12.131069","title":"<title>Surface parametrization and shape description</title>","display_name":"<title>Surface parametrization and shape description</title>","publication_year":1992,"publication_date":"1992-09-22","ids":{"openalex":"https://openalex.org/W1970792597","doi":"https://doi.org/10.1117/12.131069","mag":"1970792597"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.131069","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5066619508","display_name":"Christian Brechbuehler","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Christian Brechbuehler","raw_affiliation_strings":["Ecole Polytechnique Federale de Zurich (Switzerland)"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Zurich (Switzerland)","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010769610","display_name":"Guido Gerig","orcid":"https://orcid.org/0000-0002-9547-6233"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Guido Gerig","raw_affiliation_strings":["Ecole Polytechnique Federale de Zurich (Switzerland)"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Zurich (Switzerland)","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087614510","display_name":"Olaf Kuebler","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Olaf Kuebler","raw_affiliation_strings":["Ecole Polytechnique Federale de Zurich (Switzerland)"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Zurich (Switzerland)","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I35440088"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.047,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":26,"citation_normalized_percentile":{"value":0.851826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"1808","issue":null,"first_page":"80","last_page":"89"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9924,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9924,"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":0.984,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9794,"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/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.59633464},{"id":"https://openalex.org/keywords/representation","display_name":"Representation","score":0.4438768},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.41037178}],"concepts":[{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.66919976},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.59633464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5695639},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.48098433},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47826922},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.46988702},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4438768},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.41037178},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35105836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3408022},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27724612},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20436749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15522346},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.131069","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.54,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4250375811","https://openalex.org/W4239315977","https://openalex.org/W4236175025","https://openalex.org/W2361081803","https://openalex.org/W2153421756","https://openalex.org/W2109057766","https://openalex.org/W2077818434","https://openalex.org/W2054489697","https://openalex.org/W2036241269","https://openalex.org/W2003241457"],"abstract_inverted_index":{"Procedures":[0],"for":[1,18,215],"the":[2,7,58,72,81,84,88,113,122,147,173,177,181,198,209,223,245,254,258,267,288,303],"parameterization":[3,149,171,221],"and":[4,21,40,104,121,263,273,285,325],"description":[5],"of":[6,9,23,45,60,83,90,102,106,116,154,165,176,183,204,211,226,253,287,298,305,327,332,334,338],"surface":[8,62,73,82,89,167,179,200,230],"simply":[10,157],"connected":[11,158],"3-D":[12,24,317,335],"objects":[13,25,340],"are":[14,26,29,130,313,322],"presented.":[15],"Critical":[16],"issues":[17],"shape-based":[19],"categorization":[20],"comparison":[22,326],"addressed,":[27],"which":[28,234,279],"generality":[30],"with":[31,315],"respect":[32],"to":[33,37,70,87,144,190,196,238,282,302,307],"object":[34,46,86,178,199,229,264,268],"complexity,":[35],"invariance":[36],"standard":[38,271],"transformations,":[39],"descriptive":[41],"power":[42],"in":[43,231,244,260],"terms":[44],"geometry.":[47],"Starting":[48],"from":[49,80,342],"segmented":[50,341],"volume":[51],"data,":[52],"a":[53,76,91,117,138,152,202,270,275,296],"relational":[54],"data":[55],"structure":[56],"describing":[57],"adjacency":[59],"local":[61],"elements":[63],"is":[64,68,96,110,280],"generated.":[65],"The":[66,94,108,219,241,290,310],"representation":[67],"used":[69],"parametrize":[71],"by":[74,98,132,180],"defining":[75],"continuous,":[77],"one-to-one":[78],"mapping":[79,95,135,153],"original":[85],"unit":[92],"sphere.":[93],"constrained":[97],"two":[99,184],"requirements,":[100],"minimization":[101],"distortions":[103],"preservation":[105],"area.":[107],"former":[109],"formulated":[111],"as":[112,124],"goal":[114],"function":[115],"nonlinear":[118],"optimization":[119],"problem":[120],"latter":[123],"its":[125],"constraints.":[126],"Practicable":[127],"starting":[128],"values":[129],"obtained":[131],"an":[133,163,228,249],"initial":[134],"based":[136],"on":[137],"heat":[139],"conduction":[140],"model.":[141],"In":[142],"contract":[143],"earlier":[145],"approaches,":[146],"novel":[148,220],"method":[150],"provides":[151],"arbitrarily":[155],"shaped":[156],"objects,":[159],"i.e.,":[160],"it":[161,193],"performs":[162],"unfolding":[164],"convoluted":[166,328],"structures.":[168],"This":[169],"global":[170],"allows":[172],"systematical":[174],"scanning":[175],"variation":[182],"parameters.":[185],"As":[186],"one":[187],"possible":[188],"approach":[189],"shape":[191],"analysis,":[192],"enables":[194],"us":[195],"expand":[197],"into":[201,269],"series":[203,247,291],"spherical":[205,276],"harmonic":[206,277],"functions,":[207],"extending":[208],"concept":[210],"elliptical":[212],"Fourier":[213,246],"descriptors":[214],"2-D":[216],"closed":[217],"curves.":[218],"overcomes":[222],"traditional":[224],"limitations":[225],"expressing":[227],"polar":[232],"coordinates,":[233],"restricts":[235],"such":[236],"descriptions":[237],"star-shaped":[239],"objects.":[240,319],"numerical":[242],"coefficients":[243,259],"form":[248],"object-centered,":[250],"surface-oriented":[251],"descriptor":[252,278],"object''s":[255],"form.":[256],"Rotating":[257],"parameter":[261],"space":[262,265],"puts":[266],"position":[272],"yields":[274],"invariant":[281],"translations,":[283],"rotations,":[284],"scaling":[286],"object.":[289],"can":[292],"be":[293,308],"truncated":[294],"after":[295],"number":[297],"harmonics":[299],"chosen":[300],"according":[301],"amount":[304],"detail":[306],"expressed.":[309],"new":[311],"methods":[312],"illustrated":[314],"simple":[316],"test":[318],"Potential":[320],"applications":[321],"recognition,":[323],"classification,":[324],"surfaces":[329,333],"or":[330],"parts":[331],"shapes,":[336],"e.g.,":[337],"anatomical":[339],"multidimensional":[343],"medical":[344],"image":[345],"data.":[346]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1970792597","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-15T16:57:29.278374","created_date":"2016-06-24"}