{"id":"https://openalex.org/W2093820524","doi":"https://doi.org/10.1631/jzus.c1300056","title":"Curve length estimation based on cubic spline interpolation in gray-scale images","display_name":"Curve length estimation based on cubic spline interpolation in gray-scale images","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2093820524","doi":"https://doi.org/10.1631/jzus.c1300056","mag":"2093820524"},"language":"en","primary_location":{"id":"doi:10.1631/jzus.c1300056","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c1300056","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-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/A5109299988","display_name":"Zhenxin Wang","orcid":"https://orcid.org/0000-0002-1908-9848"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen-xin Wang","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, 130012, China","MOE Key Laboratory of Symbolic Computation and Knowledge Engineering, Jilin University, Changchun, 130012, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I4210134929","https://openalex.org/I194450716"]},{"raw_affiliation_string":"MOE Key Laboratory of Symbolic Computation and Knowledge Engineering, Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103822192","display_name":"Jihong Ouyang","orcid":"https://orcid.org/0000-0001-6151-365X"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-hong Ouyang","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, 130012, China","MOE Key Laboratory of Symbolic Computation and Knowledge Engineering, Jilin University, Changchun, 130012, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I4210134929","https://openalex.org/I194450716"]},{"raw_affiliation_string":"MOE Key Laboratory of Symbolic Computation and Knowledge Engineering, Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2763,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62800906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"10","first_page":"777","last_page":"784"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994999766349792,"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":0.9994999766349792,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9966999888420105,"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":0.9965000152587891,"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/smoothing-spline","display_name":"Smoothing spline","score":0.694250226020813},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.6637983322143555},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6455357074737549},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5909788608551025},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5681883692741394},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.5567401647567749},{"id":"https://openalex.org/keywords/cubic-hermite-spline","display_name":"Cubic Hermite spline","score":0.5273578763008118},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4989151954650879},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.4740604758262634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4716493487358093},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.44730326533317566},{"id":"https://openalex.org/keywords/arc-length","display_name":"Arc length","score":0.43685781955718994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4366523027420044},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.4173208773136139},{"id":"https://openalex.org/keywords/bicubic-interpolation","display_name":"Bicubic interpolation","score":0.3309125602245331},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3174750506877899},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21863499283790588},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.1890096366405487},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.16346830129623413},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.12349644303321838},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12160557508468628},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.09572726488113403}],"concepts":[{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.694250226020813},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.6637983322143555},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6455357074737549},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5909788608551025},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5681883692741394},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.5567401647567749},{"id":"https://openalex.org/C84607441","wikidata":"https://www.wikidata.org/wiki/Q1537263","display_name":"Cubic Hermite spline","level":5,"score":0.5273578763008118},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4989151954650879},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.4740604758262634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4716493487358093},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.44730326533317566},{"id":"https://openalex.org/C22251595","wikidata":"https://www.wikidata.org/wiki/Q670036","display_name":"Arc length","level":3,"score":0.43685781955718994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4366523027420044},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.4173208773136139},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.3309125602245331},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3174750506877899},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21863499283790588},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.1890096366405487},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.16346830129623413},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12349644303321838},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12160557508468628},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.09572726488113403},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/jzus.c1300056","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c1300056","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1985102713","https://openalex.org/W2009316485","https://openalex.org/W2020492600","https://openalex.org/W2031977299","https://openalex.org/W2070103159","https://openalex.org/W2097072441","https://openalex.org/W2100104792","https://openalex.org/W2103174527","https://openalex.org/W2121702780","https://openalex.org/W2148223612","https://openalex.org/W2160535745","https://openalex.org/W2170633497"],"related_works":["https://openalex.org/W2117487173","https://openalex.org/W4383745289","https://openalex.org/W2371645298","https://openalex.org/W1980922465","https://openalex.org/W2380799314","https://openalex.org/W2348526185","https://openalex.org/W2399408157","https://openalex.org/W2062768614","https://openalex.org/W2106020793","https://openalex.org/W2381865570"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"a":[4,19,93],"novel":[5],"local":[6],"arc":[7],"length":[8],"estimator":[9],"for":[10,24,78],"curves":[11],"in":[12,60],"gray-scale":[13],"images.":[14],"The":[15],"method":[16],"first":[17],"estimates":[18],"cubic":[20],"spline":[21,43,64],"curve":[22],"fit":[23],"the":[25,29,33,39,42,49,56,61,63,74,89],"boundary":[26],"points":[27],"using":[28],"gray-level":[30],"information":[31],"of":[32,41],"nearby":[34],"pixels,":[35],"and":[36,52,80],"then":[37],"computes":[38],"sum":[40],"segments\u2019":[44],"lengths.":[45],"In":[46],"this":[47],"model,":[48],"second":[50],"derivatives":[51],"y":[53],"coordinates":[54],"at":[55],"knots":[57],"are":[58],"required":[59],"computation;":[62],"polynomial":[65],"coefficients":[66],"need":[67],"not":[68],"be":[69],"computed":[70],"explicitly.":[71],"We":[72],"provide":[73],"algorithm":[75],"pseudo":[76],"code":[77],"estimation":[79],"preprocessing,":[81],"both":[82],"taking":[83],"linear":[84],"time.":[85],"Implementation":[86],"shows":[87],"that":[88],"proposed":[90],"model":[91],"gains":[92],"smaller":[94],"relative":[95],"error":[96],"than":[97],"other":[98],"state-of-the-art":[99],"methods.":[100]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
