{"id":"https://openalex.org/W2144188589","doi":"https://doi.org/10.1109/bibe.2003.1188935","title":"Comparison of bicubic and Bezier polynomials for surface parameterization in volumetric images","display_name":"Comparison of bicubic and Bezier polynomials for surface parameterization in volumetric images","publication_year":2003,"publication_date":"2003-11-20","ids":{"openalex":"https://openalex.org/W2144188589","doi":"https://doi.org/10.1109/bibe.2003.1188935","mag":"2144188589"},"language":"en","primary_location":{"id":"doi:10.1109/bibe.2003.1188935","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibe.2003.1188935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Third IEEE Symposium on Bioinformatics and Bioengineering, 2003. Proceedings.","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/A5083022890","display_name":"Francis Quek","orcid":"https://orcid.org/0009-0002-9040-7113"},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"F. Quek","raw_affiliation_strings":["Department of Computer Science and Engineering, Wright State University, Dayton, OH, USA","[Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Wright State University, Dayton, OH, USA","institution_ids":["https://openalex.org/I19648265"]},{"raw_affiliation_string":"[Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA]","institution_ids":["https://openalex.org/I19648265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077437461","display_name":"Vaishali R. Kulkarni","orcid":"https://orcid.org/0000-0002-4242-9679"},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Kulkarni","raw_affiliation_strings":["Department of Computer Science and Engineering, Wright State University, Dayton, OH, USA","[Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Wright State University, Dayton, OH, USA","institution_ids":["https://openalex.org/I19648265"]},{"raw_affiliation_string":"[Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA]","institution_ids":["https://openalex.org/I19648265"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091620145","display_name":"Cemil Kirbas","orcid":null},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Kirbas","raw_affiliation_strings":["Department of Computer Science and Engineering, Wright State University, Dayton, OH, USA","[Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Wright State University, Dayton, OH, USA","institution_ids":["https://openalex.org/I19648265"]},{"raw_affiliation_string":"[Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA]","institution_ids":["https://openalex.org/I19648265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083022890"],"corresponding_institution_ids":["https://openalex.org/I19648265"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19779874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"107","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9983999729156494,"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":0.9983999729156494,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9977999925613403,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9947999715805054,"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/b\u00e9zier-surface","display_name":"B\u00e9zier surface","score":0.8808544874191284},{"id":"https://openalex.org/keywords/bicubic-interpolation","display_name":"Bicubic interpolation","score":0.8247888088226318},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.6344010829925537},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5930139422416687},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5813748240470886},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.5614522099494934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5421804189682007},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5147526264190674},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.5004861354827881},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4630695879459381},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.46131467819213867},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.4382185935974121},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4281311333179474},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4159560799598694},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4118937849998474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3740662932395935},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2774808406829834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25787439942359924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20891276001930237},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.15847718715667725}],"concepts":[{"id":"https://openalex.org/C100374796","wikidata":"https://www.wikidata.org/wiki/Q926066","display_name":"B\u00e9zier surface","level":3,"score":0.8808544874191284},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.8247888088226318},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.6344010829925537},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5930139422416687},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5813748240470886},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.5614522099494934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5421804189682007},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5147526264190674},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.5004861354827881},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4630695879459381},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.46131467819213867},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.4382185935974121},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4281311333179474},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4159560799598694},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4118937849998474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3740662932395935},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2774808406829834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25787439942359924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20891276001930237},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.15847718715667725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibe.2003.1188935","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibe.2003.1188935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Third IEEE Symposium on Bioinformatics and Bioengineering, 2003. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1587477963","https://openalex.org/W1985020152","https://openalex.org/W1996773532","https://openalex.org/W2001387264","https://openalex.org/W2038700228","https://openalex.org/W2064227838","https://openalex.org/W2065646479","https://openalex.org/W2104095591","https://openalex.org/W2107723062","https://openalex.org/W2121009299","https://openalex.org/W2134116285","https://openalex.org/W2138033528","https://openalex.org/W2145528033","https://openalex.org/W2151813884","https://openalex.org/W2159370502","https://openalex.org/W2162837059","https://openalex.org/W2401825812","https://openalex.org/W2432517183","https://openalex.org/W2509534640","https://openalex.org/W2981264952","https://openalex.org/W3097169496","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2144188589","https://openalex.org/W2360889479","https://openalex.org/W4365144882","https://openalex.org/W2385033537","https://openalex.org/W2805813719","https://openalex.org/W2359526277","https://openalex.org/W3159363171","https://openalex.org/W3021933583","https://openalex.org/W2001996060","https://openalex.org/W2040568088"],"abstract_inverted_index":{"Curvature-based":[0],"surface":[1,45,74,137],"features":[2,33],"are":[3,59,91,161],"well":[4],"suited":[5],"for":[6,72],"use":[7],"in":[8,109],"multimodal":[9],"medical":[10,153],"image":[11],"registration.":[12],"The":[13,29,104,146],"accuracy":[14],"of":[15,25,31,51,158],"such":[16],"feature-based":[17],"registration":[18],"techniques":[19],"is":[20,39,76,107,122],"dependent":[21],"upon":[22],"the":[23,26,82,136,156],"reliability":[24],"feature":[27],"computation.":[28],"computation":[30],"curvature":[32],"requires":[34],"second":[35,99],"derivative":[36],"information":[37],"that":[38],"best":[40],"obtained":[41],"from":[42,55,135],"a":[43,49,62,95,101],"parametric":[44],"representation.":[46],"We":[47,128],"present":[48],"method":[50,131],"explicitly":[52],"parameterizing":[53],"surfaces":[54,134],"volumetric":[56],"data.":[57],"Surfaces":[58],"extracted,":[60],"without":[61],"global":[63],"thresholding,":[64],"using":[65,112,124],"active":[66],"contour":[67],"models.":[68],"A":[69],"Mong":[70],"basis":[71],"each":[73],"patch":[75,83],"estimated":[77],"and":[78,98,139,143,152,155],"used":[79],"to":[80,93,100],"transform":[81],"into":[84],"local,":[85],"or":[86],"parametric,":[87],"coordinates.":[88],"Surface":[89],"patches":[90],"fit":[92,108,123],"first":[94],"bicubic":[96,105],"polynomial":[97,106,121],"Bezier":[102,120],"polynomial.":[103],"local":[110],"coordinates":[111],"least":[113],"squares":[114],"solved":[115],"by":[116,132],"singular":[117],"value":[118],"decomposition.":[119],"de":[125],"Casteljau":[126],"algorithm.":[127],"tested":[129,149],"our":[130],"reconstructing":[133],"model":[138,147],"analytically":[140],"computing":[141],"Gaussian":[142],"mean":[144],"curvatures.":[145],"was":[148],"on":[150],"analytical":[151],"data":[154],"results":[157],"both":[159],"methods":[160],"compared.":[162]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}