{"id":"https://openalex.org/W4309680869","doi":"https://doi.org/10.1137/22m1482676","title":"An Algorithm to Compute Any Simple $k$-gon of a Maximum Area or Perimeter Inscribed in a Region of Interest","display_name":"An Algorithm to Compute Any Simple $k$-gon of a Maximum Area or Perimeter Inscribed in a Region of Interest","publication_year":2022,"publication_date":"2022-11-14","ids":{"openalex":"https://openalex.org/W4309680869","doi":"https://doi.org/10.1137/22m1482676"},"language":"en","primary_location":{"id":"doi:10.1137/22m1482676","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1482676","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/A5006343034","display_name":"Rub\u00e9n Molano","orcid":"https://orcid.org/0000-0001-5410-6589"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rub\u00e9n Molano","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082036181","display_name":"Mar \u00c1vila","orcid":"https://orcid.org/0000-0002-8717-442X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mar \u00c1vila","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002905491","display_name":"Jos\u00e9 Carlos Sancho N\u00fa\u00f1ez","orcid":"https://orcid.org/0000-0002-4584-6945"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Carlos Sancho","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052193156","display_name":"Pablo G. Rodr\u00edguez","orcid":"https://orcid.org/0000-0001-8168-7892"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pablo G. Rodr\u00edguez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5074112387","display_name":"Andr\u00e9s Caro","orcid":"https://orcid.org/0000-0002-6367-2694"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andres Caro","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5006343034"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27447896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"4","first_page":"1808","last_page":"1832"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9979000091552734,"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/T11106","display_name":"Data Management and Algorithms","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/perimeter","display_name":"Perimeter","score":0.8790271282196045},{"id":"https://openalex.org/keywords/inscribed-figure","display_name":"Inscribed figure","score":0.8604509234428406},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6940313577651978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5485430955886841},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5034741759300232},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45731043815612793},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44697698950767517},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.41935068368911743},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3259897828102112}],"concepts":[{"id":"https://openalex.org/C98503990","wikidata":"https://www.wikidata.org/wiki/Q28474","display_name":"Perimeter","level":2,"score":0.8790271282196045},{"id":"https://openalex.org/C44074806","wikidata":"https://www.wikidata.org/wiki/Q1066790","display_name":"Inscribed figure","level":2,"score":0.8604509234428406},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6940313577651978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5485430955886841},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5034741759300232},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45731043815612793},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44697698950767517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.41935068368911743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3259897828102112},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1482676","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1482676","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/G7355544864","display_name":null,"funder_award_id":"GR21099","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1730635092","https://openalex.org/W1977740129","https://openalex.org/W1996940760","https://openalex.org/W2028071467","https://openalex.org/W2038184042","https://openalex.org/W2040178277","https://openalex.org/W2045509593","https://openalex.org/W2052562833","https://openalex.org/W2055257826","https://openalex.org/W2062138633","https://openalex.org/W2063244634","https://openalex.org/W2069047468","https://openalex.org/W2072062957","https://openalex.org/W2089685945","https://openalex.org/W2140047299","https://openalex.org/W2146673015","https://openalex.org/W2329730599","https://openalex.org/W2507008275","https://openalex.org/W2593052999","https://openalex.org/W2617140191","https://openalex.org/W2617996878","https://openalex.org/W2752573522","https://openalex.org/W2981989409","https://openalex.org/W3048126454","https://openalex.org/W3126655404","https://openalex.org/W3137744231","https://openalex.org/W3185294521","https://openalex.org/W3199068282","https://openalex.org/W3214900125","https://openalex.org/W4236250687","https://openalex.org/W4302385339"],"related_works":["https://openalex.org/W2952709568","https://openalex.org/W2943408887","https://openalex.org/W2335175397","https://openalex.org/W3015480957","https://openalex.org/W4289651396","https://openalex.org/W2995002947","https://openalex.org/W2098682668","https://openalex.org/W2889945287","https://openalex.org/W2321551291","https://openalex.org/W2352598715"],"abstract_inverted_index":{"Computational":[0],"and":[1,12,132,137,139],"mathematical":[2,133],"models":[3,134],"are":[4,37,135],"research":[5,150],"subjects":[6],"for":[7,42,149],"solving":[8],"engineering,":[9],"computer":[10,13],"science,":[11],"vision":[14],"problems.":[15],"Image":[16],"preprocessing":[17],"usually":[18],"needs":[19],"to":[20,25,39,121],"efficiently":[21],"compute":[22],"polygons":[23],"related":[24],"some":[26,43],"previously":[27],"delimited":[28],"region":[29,87],"of":[30,33,45,76,79,88],"interest.":[31],"Most":[32],"the":[34,40,74,100,104,140],"solved":[35],"problems":[36],"limited":[38],"search":[41],"type":[44],"polygon":[46,75,97],"with":[47,54],"$k$":[48],"sides":[49,80],"(triangles,":[50],"rectangles,":[51],"squares,":[52],"etc.)":[53],"maximum":[55,57,106],"area,":[56],"perimeter,":[58],"or":[59,108,110,113],"similar.":[60],"This":[61],"paper":[62],"presents":[63],"a":[64,86,146],"generic":[65],"algorithm":[66],"that":[67],"computes":[68],"in":[69,85,126,145],"$O(n^5":[70],"k)$":[71],"computational":[72],"time":[73],"any":[77,91,123,127],"number":[78],"(any":[81],"simple":[82],"$k$-gon)":[83],"inscribed":[84,125],"interest":[89],"(in":[90],"closed":[92],"contour":[93],"without":[94],"restrictions).":[95],"The":[96,130],"obtained":[98],"fulfills":[99],"requirements":[101],"specified":[102],"by":[103],"user:":[105],"area":[107,112],"perimeter":[109],"minimum":[111],"perimeter.":[114],"No":[115],"previous":[116],"work":[117],"has":[118],"been":[119],"proposed":[120],"obtain":[122],"$k$-gon":[124],"unconstrained":[128],"contour.":[129],"algorithms":[131],"presented":[136],"explained,":[138],"source":[141],"code":[142],"is":[143],"available":[144],"GitHub":[147],"repository":[148],"purposes.":[151]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
