{"id":"https://openalex.org/W3110521338","doi":"https://doi.org/10.1137/19m129718x","title":"Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures","display_name":"Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3110521338","doi":"https://doi.org/10.1137/19m129718x","mag":"3110521338"},"language":"en","primary_location":{"id":"doi:10.1137/19m129718x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m129718x","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5002941613","display_name":"Chun Yin Siu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chun Yin Siu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109447932","display_name":"Hei Long Chan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hei Long Chan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5086389457","display_name":"Ronald Lok Ming Lui","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ronald Lok Ming Lui","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002941613"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9828,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.78959178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"4","first_page":"2105","last_page":"2139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation 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/T10052","display_name":"Medical Image Segmentation 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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.998199999332428,"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/T10036","display_name":"Advanced Neural Network Applications","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/convexity","display_name":"Convexity","score":0.820040762424469},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.708075761795044},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6014285087585449},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5792193412780762},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.5781430006027222},{"id":"https://openalex.org/keywords/segmentation-based-object-categorization","display_name":"Segmentation-based object categorization","score":0.5624295473098755},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5514496564865112},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.5369678735733032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5341837406158447},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5058143138885498},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4657166004180908},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.44425395131111145},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.42384248971939087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3909943997859955},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.34694093465805054},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13318869471549988}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.820040762424469},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.708075761795044},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6014285087585449},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5792193412780762},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.5781430006027222},{"id":"https://openalex.org/C25694479","wikidata":"https://www.wikidata.org/wiki/Q7446278","display_name":"Segmentation-based object categorization","level":5,"score":0.5624295473098755},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5514496564865112},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.5369678735733032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5341837406158447},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5058143138885498},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4657166004180908},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.44425395131111145},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.42384248971939087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3909943997859955},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34694093465805054},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13318869471549988},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m129718x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m129718x","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5060542113","display_name":null,"funder_award_id":"14306917","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1506879382","https://openalex.org/W1567166970","https://openalex.org/W1964658353","https://openalex.org/W1971536112","https://openalex.org/W1975434639","https://openalex.org/W1976584051","https://openalex.org/W1985270033","https://openalex.org/W1987405394","https://openalex.org/W1990120195","https://openalex.org/W1990804363","https://openalex.org/W2001320014","https://openalex.org/W2033071120","https://openalex.org/W2035072927","https://openalex.org/W2041684917","https://openalex.org/W2045256826","https://openalex.org/W2064809245","https://openalex.org/W2096512181","https://openalex.org/W2104095591","https://openalex.org/W2116040950","https://openalex.org/W2139383790","https://openalex.org/W2142064545","https://openalex.org/W2143897237","https://openalex.org/W2265968420","https://openalex.org/W2328822572","https://openalex.org/W2521909012","https://openalex.org/W2574999669","https://openalex.org/W2612473743","https://openalex.org/W2620849442","https://openalex.org/W2761240400","https://openalex.org/W2962950991","https://openalex.org/W3000211808","https://openalex.org/W3034167473","https://openalex.org/W3099917509","https://openalex.org/W3100168729"],"related_works":["https://openalex.org/W3144569342","https://openalex.org/W2945274617","https://openalex.org/W2185902295","https://openalex.org/W2103507220","https://openalex.org/W2055202857","https://openalex.org/W4205800335","https://openalex.org/W2371519352","https://openalex.org/W2386644571","https://openalex.org/W2372421320","https://openalex.org/W2901890255"],"abstract_inverted_index":{"Image":[0],"segmentation":[1,34,52,64,90,115],"aims":[2],"to":[3,32,66,71,78,86,128,141],"partition":[4],"an":[5,48,119],"image":[6,110],"into":[7],"meaningful":[8,51],"regions":[9],"and":[10,50,192,195],"extract":[11],"important":[12],"objects":[13,25],"therein.":[14],"In":[15,36,54],"real":[16,193],"applications,":[17],"the":[18,33,42,68,79,104,109,114,130,133,143,161,172,196,199],"given":[19],"images":[20,194],"may":[21],"contain":[22],"multiple":[23],"overlapping":[24],"with":[26,92],"noisy":[27],"background,":[28],"creating":[29],"great":[30],"challenges":[31],"task.":[35],"these":[37],"cases,":[38],"prior":[39,63,163],"information":[40,164],"of":[41,108,132,174,201],"target":[43,134,147],"object":[44,127,148],"is":[45,85,101,138,149,160,177],"essential":[46],"for":[47,166,179],"accurate":[49],"result.":[53],"this":[55],"paper,":[56],"we":[57,117],"present":[58],"a":[59,88,93,125,153,167,180],"new":[60],"convexity":[61,96,99,144,176],"shape":[62],"framework":[65],"guarantee":[67],"segmented":[69],"region":[70],"be":[72],"fully":[73],"or":[74,155],"partially":[75,181],"convex":[76,157,169,182],"according":[77],"user's":[80],"preference.":[81],"The":[82,98,146],"basic":[83],"idea":[84],"incorporate":[87],"registration-based":[89],"model":[91],"specially":[94],"designed":[95],"constraint.":[97,145],"constraint":[100],"based":[102],"on":[103,189],"discrete":[105],"conformality":[106],"structures":[107],"mesh.":[111],"To":[112],"solve":[113],"model,":[116],"propose":[118],"iterative":[120],"scheme,":[121],"which":[122],"smoothly":[123],"deforms":[124],"template":[126],"trace":[129],"boundary":[131],"object.":[135],"A":[136],"projection":[137],"carried":[139,187],"out":[140,188],"enforce":[142],"then":[150],"captured":[151],"by":[152],"(fully":[154],"partially)":[156],"region.":[158],"Convexity":[159],"only":[162],"needed":[165,178],"(fully)":[168],"shape,":[170],"whereas":[171],"location":[173],"partial":[175],"shape.":[183],"Experiments":[184],"have":[185],"been":[186],"both":[190],"synthetic":[191],"results":[197],"demonstrate":[198],"effectiveness":[200],"our":[202],"proposed":[203],"framework.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}