{"id":"https://openalex.org/W1974735008","doi":"https://doi.org/10.1080/00207160701417449","title":"Computing the curve-skeletons of images","display_name":"Computing the curve-skeletons of images","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W1974735008","doi":"https://doi.org/10.1080/00207160701417449","mag":"1974735008"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701417449","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701417449","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5051165898","display_name":"Yatharth Saraf","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yatharth Saraf","raw_affiliation_strings":["Department of Computer Science and Enginnering , University of California , San Diego, 9500 Gilman Drive, Mail code 0404, La Jolla, CA, 92093-0404, USA","Department of Computer Science and Enginnering, University of California, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Enginnering , University of California , San Diego, 9500 Gilman Drive, Mail code 0404, La Jolla, CA, 92093-0404, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Computer Science and Enginnering, University of California, La Jolla, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030765476","display_name":"Balasubramanian Raman","orcid":"https://orcid.org/0000-0001-6277-6267"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Balasubramanian Raman","raw_affiliation_strings":["Department of Mathematics , Indian Institute of Technology Roorkee , Roorkee, 247 667, India","(Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Indian Institute of Technology Roorkee , Roorkee, 247 667, India","institution_ids":["https://openalex.org/I154851008"]},{"raw_affiliation_string":"(Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India)","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111573704","display_name":"Swaminathan Krishnan","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Swaminathan Krishnan","raw_affiliation_strings":["Department of Mathematics , Indian Institute of Technology Madras , Chennai, 600 036, India","Department of Mathematics, Indian Institute of Technology Madras, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Indian Institute of Technology Madras , Chennai, 600 036, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030765476"],"corresponding_institution_ids":["https://openalex.org/I154851008"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05751278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"85","issue":"2","first_page":"253","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9991999864578247,"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"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9975000023841858,"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/skeletonization","display_name":"Skeletonization","score":0.9746196269989014},{"id":"https://openalex.org/keywords/medial-axis","display_name":"Medial axis","score":0.74771648645401},{"id":"https://openalex.org/keywords/topological-skeleton","display_name":"Topological skeleton","score":0.6334813237190247},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5766753554344177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5565167665481567},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5526766777038574},{"id":"https://openalex.org/keywords/binary-image","display_name":"Binary image","score":0.5374864339828491},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5259906649589539},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5084409117698669},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.500525951385498},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.485378623008728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4552615284919739},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4457795023918152},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4116075932979584},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3553966283798218},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34650588035583496},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33317792415618896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3231552243232727},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.258007287979126},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2557392120361328},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24375072121620178},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12092751264572144},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10614180564880371}],"concepts":[{"id":"https://openalex.org/C23951316","wikidata":"https://www.wikidata.org/wiki/Q1984140","display_name":"Skeletonization","level":2,"score":0.9746196269989014},{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.74771648645401},{"id":"https://openalex.org/C112785775","wikidata":"https://www.wikidata.org/wiki/Q786441","display_name":"Topological skeleton","level":4,"score":0.6334813237190247},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5766753554344177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5565167665481567},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5526766777038574},{"id":"https://openalex.org/C193828747","wikidata":"https://www.wikidata.org/wiki/Q864118","display_name":"Binary image","level":4,"score":0.5374864339828491},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5259906649589539},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5084409117698669},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.500525951385498},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.485378623008728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4552615284919739},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4457795023918152},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4116075932979584},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3553966283798218},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34650588035583496},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33317792415618896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3231552243232727},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.258007287979126},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2557392120361328},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24375072121620178},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12092751264572144},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10614180564880371},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701417449","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701417449","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1508115086","https://openalex.org/W1608923419","https://openalex.org/W1989409369","https://openalex.org/W1999616998","https://openalex.org/W2001339325","https://openalex.org/W2002569088","https://openalex.org/W2021525834","https://openalex.org/W2047167129","https://openalex.org/W2055645774","https://openalex.org/W2100350068","https://openalex.org/W2103667962","https://openalex.org/W2107257130","https://openalex.org/W2118413530","https://openalex.org/W2125638038","https://openalex.org/W2136892133","https://openalex.org/W2152240585","https://openalex.org/W2169579934","https://openalex.org/W2322951925","https://openalex.org/W3147963387","https://openalex.org/W4240558544"],"related_works":["https://openalex.org/W2001655492","https://openalex.org/W2804908534","https://openalex.org/W2182248697","https://openalex.org/W2184461801","https://openalex.org/W1975982864","https://openalex.org/W111736071","https://openalex.org/W1966922281","https://openalex.org/W2051842524","https://openalex.org/W2958716353","https://openalex.org/W2032238293"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,103,106,130],"paper,":[3],"an":[4,109],"automatic":[5],"algorithm":[6,84,127],"that":[7],"extracts":[8],"a":[9,33],"curve-skeleton":[10],"(1-D":[11],"centreline)":[12],"from":[13,59],"2-D":[14,136],"binary":[15,118],"images":[16,119,137],"is":[17,29,47,86,108],"described.":[18],"From":[19],"the":[20,24,26,38,44,55,80,99,123,139],"discretized":[21],"data":[22],"of":[23,43,69,111,117,122],"image/object,":[25],"potential":[27,124],"field":[28,35,46],"computed":[30],"resulting":[31],"in":[32,102,129],"vector":[34,45],"defined":[36],"over":[37],"entire":[39],"object.":[40],"The":[41,82,126],"topology":[42],"analysed":[48],"and":[49,65,72,90,105,138],"path-lines":[50],"are":[51,98,141],"seeded":[52],"to":[53,88],"extract":[54],"curve-skeletons.":[56],"Seeds":[57],"start":[58],"high-curvature":[60],"boundary":[61],"values,":[62,64],"high-divergence":[63],"saddles.":[66],"A":[67],"hierarchy":[68],"curve-skeletons":[70,74],"results":[71,140],"different":[73],"can":[75],"be":[76],"chosen":[77],"based":[78],"upon":[79],"application.":[81],"skeletonization":[83],"presented":[85,128],"robust":[87],"noise":[89],"generates":[91],"smooth":[92],"skeletons":[93],"with":[94],"topological":[95],"characteristics.":[96],"These":[97],"main":[100],"contributions":[101],"paper":[104,131],"work":[107,114],"extension":[110],"our":[112],"previous":[113],"on":[115,134],"thinning":[116],"using":[120],"divergence":[121],"field.":[125],"was":[132],"tested":[133],"numerous":[135],"shown.":[142]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}