{"id":"https://openalex.org/W1518635362","doi":"https://doi.org/10.1007/3-540-36586-9_26","title":"External versus Internal Parameterizations for Lengths of Curves with Nonuniform Samplings","display_name":"External versus Internal Parameterizations for Lengths of Curves with Nonuniform Samplings","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1518635362","doi":"https://doi.org/10.1007/3-540-36586-9_26","mag":"1518635362"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36586-9_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36586-9_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5059335106","display_name":"Ryszard Kozera","orcid":"https://orcid.org/0000-0002-2907-8632"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ryszard Kozera","raw_affiliation_strings":["School of Computer Science and Software Engineering, The University of Western Australia, 35 Stirling Highway, 6009, Crawley, WA, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Software Engineering, The University of Western Australia, 35 Stirling Highway, 6009, Crawley, WA, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001541606","display_name":"Lyle Noakes","orcid":"https://orcid.org/0000-0001-9595-0735"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lyle Noakes","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, 6009, Crawley, WA, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, 6009, Crawley, WA, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087111199","display_name":"Reinhard Klette","orcid":"https://orcid.org/0000-0001-8818-7145"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]},{"id":"https://openalex.org/I39854758","display_name":"Auckland University of Technology","ror":"https://ror.org/01zvqw119","country_code":"NZ","type":"education","lineage":["https://openalex.org/I39854758"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Reinhard Klette","raw_affiliation_strings":["Centre for Images Technology and Robotics Tamaki Campus, The University of Auckland, Building 731, Auckland, New Zealand","Computer Science Dept. and CITR, University of Auckland, Tamaki Campus, Glen Innes, 1005, Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Images Technology and Robotics Tamaki Campus, The University of Auckland, Building 731, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Computer Science Dept. and CITR, University of Auckland, Tamaki Campus, Glen Innes, 1005, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895","https://openalex.org/I39854758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.1886,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93715847,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"403","last_page":"418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9889000058174133,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9778000116348267,"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/piecewise","display_name":"Piecewise","score":0.7073537707328796},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6441479325294495},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.6401230096817017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6037739515304565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5459432601928711},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4913715422153473},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.48499104380607605},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.44870510697364807},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.44666653871536255},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.43959346413612366},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3882632851600647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35481613874435425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.345861554145813},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.29836559295654297},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.277607262134552},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.27537399530410767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19566461443901062},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11841872334480286}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7073537707328796},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6441479325294495},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.6401230096817017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6037739515304565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5459432601928711},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4913715422153473},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.48499104380607605},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.44870510697364807},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.44666653871536255},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.43959346413612366},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3882632851600647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35481613874435425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.345861554145813},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.29836559295654297},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.277607262134552},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.27537399530410767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19566461443901062},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11841872334480286},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-36586-9_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36586-9_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W116910719","https://openalex.org/W169837149","https://openalex.org/W796617162","https://openalex.org/W1163517318","https://openalex.org/W1497916714","https://openalex.org/W1499237617","https://openalex.org/W1505043854","https://openalex.org/W1548879090","https://openalex.org/W1569794614","https://openalex.org/W1579063588","https://openalex.org/W1593728033","https://openalex.org/W2005907009","https://openalex.org/W2074853891","https://openalex.org/W2078263033","https://openalex.org/W2083046311","https://openalex.org/W2129170515","https://openalex.org/W2129433818","https://openalex.org/W2155333082","https://openalex.org/W2158589654","https://openalex.org/W2177556437","https://openalex.org/W2188568517","https://openalex.org/W2259546388","https://openalex.org/W2274284591","https://openalex.org/W2274917208","https://openalex.org/W2565587652","https://openalex.org/W4205649593","https://openalex.org/W4213080700","https://openalex.org/W4213199372"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2367964354","https://openalex.org/W2061897416","https://openalex.org/W2098566156","https://openalex.org/W2022518223","https://openalex.org/W2381598593","https://openalex.org/W4301029430","https://openalex.org/W2293096836","https://openalex.org/W2145403541","https://openalex.org/W2128244463"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}