{"id":"https://openalex.org/W1967845265","doi":"https://doi.org/10.1080/00207169708804608","title":"The equivalence of the chessboard distance transform and the medial axis transform<sup>\u2217</sup>","display_name":"The equivalence of the chessboard distance transform and the medial axis transform<sup>\u2217</sup>","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1967845265","doi":"https://doi.org/10.1080/00207169708804608","mag":"1967845265"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804608","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804608","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/A5004773095","display_name":"Yu\u2010Hua Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I118292597","display_name":"National Taipei University of Technology","ror":"https://ror.org/00cn92c09","country_code":"TW","type":"education","lineage":["https://openalex.org/I118292597"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Yu-Hua Lee","raw_affiliation_strings":["Department of Electrical Engineering , National Taiwan Institute of Technology , 43, Sec 4, Kee-Lung Road, Taipei, Taiwan, R. O. C"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering , National Taiwan Institute of Technology , 43, Sec 4, Kee-Lung Road, Taipei, Taiwan, R. O. C","institution_ids":["https://openalex.org/I118292597"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038219098","display_name":"Shi\u2010Jinn Horng","orcid":"https://orcid.org/0000-0002-9978-0400"},"institutions":[{"id":"https://openalex.org/I118292597","display_name":"National Taipei University of Technology","ror":"https://ror.org/00cn92c09","country_code":"TW","type":"education","lineage":["https://openalex.org/I118292597"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shi-Jinn Horng","raw_affiliation_strings":["Department of Electrical Engineering , National Taiwan Institute of Technology , 43, Sec 4, Kee-Lung Road, Taipei, Taiwan, R. O. C"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering , National Taiwan Institute of Technology , 43, Sec 4, Kee-Lung Road, Taipei, Taiwan, R. O. C","institution_ids":["https://openalex.org/I118292597"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004773095"],"corresponding_institution_ids":["https://openalex.org/I118292597"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.08547095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"3-4","first_page":"165","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9932000041007996,"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/distance-transform","display_name":"Distance transform","score":0.7978695034980774},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.7654376029968262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6076067686080933},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5994677543640137},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.5288815498352051},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5220196843147278},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5216279625892639},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5021452903747559},{"id":"https://openalex.org/keywords/binary-image","display_name":"Binary image","score":0.5006105899810791},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.42616090178489685},{"id":"https://openalex.org/keywords/hough-transform","display_name":"Hough transform","score":0.4139365553855896},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4133242964744568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3067612648010254}],"concepts":[{"id":"https://openalex.org/C73621898","wikidata":"https://www.wikidata.org/wiki/Q2940504","display_name":"Distance transform","level":3,"score":0.7978695034980774},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.7654376029968262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6076067686080933},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5994677543640137},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.5288815498352051},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5220196843147278},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5216279625892639},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5021452903747559},{"id":"https://openalex.org/C193828747","wikidata":"https://www.wikidata.org/wiki/Q864118","display_name":"Binary image","level":4,"score":0.5006105899810791},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.42616090178489685},{"id":"https://openalex.org/C200518788","wikidata":"https://www.wikidata.org/wiki/Q195076","display_name":"Hough transform","level":3,"score":0.4139365553855896},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4133242964744568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3067612648010254},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169708804608","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804608","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":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1872549822","https://openalex.org/W1967115099","https://openalex.org/W1968547043","https://openalex.org/W1973965874","https://openalex.org/W1989915986","https://openalex.org/W1996342882","https://openalex.org/W2011723506","https://openalex.org/W2030919400","https://openalex.org/W2063159200","https://openalex.org/W2123093760","https://openalex.org/W2136052880","https://openalex.org/W2158008371","https://openalex.org/W2165531426","https://openalex.org/W2322951925","https://openalex.org/W3159914786"],"related_works":["https://openalex.org/W3186605777","https://openalex.org/W3107295340","https://openalex.org/W2164349598","https://openalex.org/W2574769845","https://openalex.org/W2220864757","https://openalex.org/W146855993","https://openalex.org/W3080815883","https://openalex.org/W4367154257","https://openalex.org/W2794758705","https://openalex.org/W2007485653"],"abstract_inverted_index":{"The":[0,34,60,117],"distance":[1,52,110,115,119,126,137],"transform":[2,8,120,127],"(DT)":[3,128],"and":[4,23,93,101,173],"the":[5,18,21,24,27,51,73,88,135,155,163],"medial":[6],"axis":[7],"(MAT)":[9],"are":[10,85,107,152,158],"two":[11,83],"image":[12,39,64,94,132],"computation":[13,182],"tools":[14],"used":[15,86],"to":[16,31,49,55],"extract":[17],"information":[19],"about":[20],"shape":[22,103],"position":[25],"of":[26,62,68,76,81,90,125],"foreground":[28,58,74],"pixels":[29,75],"relative":[30],"each":[32,44],"other.":[33],"DT":[35],"converts":[36,130],"a":[37,47,66,170],"binary":[38],"into":[40],"an":[41,63,77,131],"image,":[42],"where":[43],"pixel":[45],"has":[46],"value":[48],"represent":[50],"from":[53],"it":[54],"its":[56],"nearest":[57],"pixel.":[59],"MAT":[61,149,164],"is":[65,122,177],"set":[67],"maximal":[69],"squares":[70],"that":[71,145],"represents":[72],"image.":[78],"Extensively":[79],"applications":[80],"these":[82],"transforms":[84,111,147],"in":[87,180],"fields":[89],"computer":[91],"vision":[92],"processing,":[95],"such":[96],"as":[97],"expanding":[98],"shrinking,":[99],"thinning":[100],"computing":[102],"factor":[104],"etc.":[105],"There":[106],"many":[108],"different":[109,114],"based":[112,133],"on":[113,134],"metrics.":[116,138],"chessboard":[118,136],"(CDT)":[121],"one":[123],"kind":[124],"which":[129],"In":[139],"this":[140],"paper,":[141],"we":[142],"first":[143],"demonstrate":[144],"both":[146],"(i.e.":[148],"and.":[150],"CDT)":[151],"interchangeable.":[153],"Then":[154],"corresponding":[156],"algorithms":[157],"also":[159,178],"proposed.":[160],"That":[161,176],"is,":[162],"can":[165],"be":[166],"found":[167],"by":[168],"ultilizing":[169],"CDT":[171],"algorithm":[172],"vice":[174],"versa.":[175],"true":[179],"any":[181],"models.":[183]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}