{"id":"https://openalex.org/W1535230039","doi":"https://doi.org/10.1109/icip.2003.1246833","title":"Continuous model of irregular sampled data using multilevel B-splines","display_name":"Continuous model of irregular sampled data using multilevel B-splines","publication_year":2004,"publication_date":"2004-06-03","ids":{"openalex":"https://openalex.org/W1535230039","doi":"https://doi.org/10.1109/icip.2003.1246833","mag":"1535230039"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2003.1246833","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2003.1246833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429)","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/A5113725172","display_name":"Takeshi Asahi","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"T. Asahi","raw_affiliation_strings":["Center for Mathematical Modelling, University of Chile, Santiago, Chile","Center for Math. Modelling, Chile Univ., Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Modelling, University of Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Center for Math. Modelling, Chile Univ., Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114376075","display_name":"Alberto L\u00f3pez","orcid":"https://orcid.org/0000-0002-2185-8028"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"A. Lopez","raw_affiliation_strings":["Center for Mathematical Modelling, University of Chile, Santiago, Chile","Center for Math. Modelling, Chile Univ., Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Modelling, University of Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Center for Math. Modelling, Chile Univ., Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048078084","display_name":"Fabrice Chassat","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"F. Chassat","raw_affiliation_strings":["Center for Mathematical Modelling, University of Chile, Santiago, Chile","Center for Math. Modelling, Chile Univ., Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematical Modelling, University of Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Center for Math. Modelling, Chile Univ., Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05907792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"II","last_page":"921"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9973999857902527,"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7183060050010681},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6324506402015686},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.6267019510269165},{"id":"https://openalex.org/keywords/pyramid","display_name":"Pyramid (geometry)","score":0.6007394790649414},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5169117450714111},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4969187080860138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43273022770881653},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41772258281707764},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.41693437099456787},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17352959513664246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13189810514450073},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1286976933479309}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7183060050010681},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6324506402015686},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.6267019510269165},{"id":"https://openalex.org/C142575187","wikidata":"https://www.wikidata.org/wiki/Q3358290","display_name":"Pyramid (geometry)","level":2,"score":0.6007394790649414},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5169117450714111},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4969187080860138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43273022770881653},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41772258281707764},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.41693437099456787},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17352959513664246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13189810514450073},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1286976933479309},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2003.1246833","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2003.1246833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W3916966","https://openalex.org/W2021186270","https://openalex.org/W2094507611","https://openalex.org/W2123090765","https://openalex.org/W2159979951","https://openalex.org/W2296243746","https://openalex.org/W6600145471"],"related_works":["https://openalex.org/W4249847449","https://openalex.org/W44395729","https://openalex.org/W1496225612","https://openalex.org/W2131662362","https://openalex.org/W2052425187","https://openalex.org/W2766141905","https://openalex.org/W3084529718","https://openalex.org/W2263936855","https://openalex.org/W2116141739","https://openalex.org/W2487825112"],"abstract_inverted_index":{"The":[0,42,62],"present":[1],"work":[2],"deals":[3],"with":[4,89],"the":[5,32,36,40,56,69,72,98,101],"problem":[6],"of":[7,34,45,100],"obtaining":[8],"a":[9],"continuous":[10],"multivariate":[11],"function":[12],"based":[13],"on":[14],"B-splines,":[15],"which":[16,76],"approximates":[17],"irregular":[18],"sampled":[19],"data.":[20],"A":[21],"multiresolution":[22],"pyramidal":[23],"approach":[24],"is":[25,65,77],"proposed,":[26],"giving":[27],"robustness":[28],"and":[29,87],"speed":[30],"at":[31],"time":[33],"determining":[35],"coefficients":[37,70],"that":[38],"define":[39],"surface.":[41],"resulting":[43],"pyramid":[44],"functions":[46],"having":[47],"different":[48],"resolutions":[49],"may":[50],"reduce":[51],"subsequent":[52],"calculation":[53],"when":[54],"manipulating":[55],"image":[57],"by":[58,67],"utilizing":[59],"hierarchical":[60],"algorithms.":[61],"B-spline":[63],"surface":[64],"calculated":[66],"adjusting":[68],"through":[71],"least":[73],"squares":[74],"criteria,":[75],"implemented":[78],"in":[79,85],"an":[80],"iterative":[81],"gradient":[82],"algorithm.":[83,102],"Simulations":[84],"2-D":[86],"approximations":[88],"real":[90],"ultrasound":[91],"data":[92],"are":[93],"carried":[94],"out":[95],"to":[96],"test":[97],"performance":[99]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
