{"id":"https://openalex.org/W4387619756","doi":"https://doi.org/10.15439/2023f4335","title":"A lower bound for proportion of visibility polygon's surface to entire polygon's surface: Estimated by Art Gallery Problem and proven that cannot be greatly improved","display_name":"A lower bound for proportion of visibility polygon's surface to entire polygon's surface: Estimated by Art Gallery Problem and proven that cannot be greatly improved","publication_year":2023,"publication_date":"2023-09-26","ids":{"openalex":"https://openalex.org/W4387619756","doi":"https://doi.org/10.15439/2023f4335"},"language":"en","primary_location":{"id":"doi:10.15439/2023f4335","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2023f4335","pdf_url":"https://annals-csis.org/proceedings/2023/drp/pdf/4335.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/proceedings/2023/drp/pdf/4335.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081142964","display_name":"Lubom\u00edr \u0160t\u011bp\u00e1nek","orcid":"https://orcid.org/0000-0002-8308-4304"},"institutions":[{"id":"https://openalex.org/I35913352","display_name":"Prague University of Economics and Business","ror":"https://ror.org/029ecwj92","country_code":"CZ","type":"education","lineage":["https://openalex.org/I35913352"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Lubom\u00edr \u0160t\u011bp\u00e1nek","raw_affiliation_strings":["Department of Mathematics Faculty of Informatics and Statistics","Prague University of Economics and Business W. Churchill's square 4, 130 67 Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Faculty of Informatics and Statistics","institution_ids":[]},{"raw_affiliation_string":"Prague University of Economics and Business W. Churchill's square 4, 130 67 Prague, Czech Republic","institution_ids":["https://openalex.org/I35913352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048718221","display_name":"Filip Habarta","orcid":"https://orcid.org/0000-0003-4477-2224"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Filip Habarta","raw_affiliation_strings":["Department of Statistics and Probability"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Probability","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007817221","display_name":"Ivana Mal\u00e1","orcid":"https://orcid.org/0000-0002-8043-847X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivana Mal\u00e1","raw_affiliation_strings":["Department of Statistics and Probability"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Probability","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059746802","display_name":"Lubo\u0161 Marek","orcid":"https://orcid.org/0000-0003-4761-1936"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lubo\u0161 Marek","raw_affiliation_strings":["Department of Statistics and Probability"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Probability","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081142964"],"corresponding_institution_ids":["https://openalex.org/I35913352"],"apc_list":null,"apc_paid":null,"fwci":0.8324,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80851064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"35","issue":null,"first_page":"1229","last_page":"1233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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":0.9995999932289124,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9991000294685364,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.9208993911743164},{"id":"https://openalex.org/keywords/visibility-polygon","display_name":"Visibility polygon","score":0.8989217281341553},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.8972671031951904},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.8752691745758057},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.7882385849952698},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.7785190939903259},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.6687917113304138},{"id":"https://openalex.org/keywords/point-in-polygon","display_name":"Point in polygon","score":0.5564435720443726},{"id":"https://openalex.org/keywords/equiangular-polygon","display_name":"Equiangular polygon","score":0.5483872294425964},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4574230909347534},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4383702576160431},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4376770257949829},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43710771203041077},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29195496439933777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25213924050331116},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.16726332902908325},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11948475241661072},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08614733815193176},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07224392890930176}],"concepts":[{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.9208993911743164},{"id":"https://openalex.org/C1449246","wikidata":"https://www.wikidata.org/wiki/Q7936080","display_name":"Visibility polygon","level":4,"score":0.8989217281341553},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.8972671031951904},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.8752691745758057},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.7882385849952698},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.7785190939903259},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.6687917113304138},{"id":"https://openalex.org/C59902600","wikidata":"https://www.wikidata.org/wiki/Q1575331","display_name":"Point in polygon","level":3,"score":0.5564435720443726},{"id":"https://openalex.org/C41779539","wikidata":"https://www.wikidata.org/wiki/Q2543717","display_name":"Equiangular polygon","level":3,"score":0.5483872294425964},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4574230909347534},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4383702576160431},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4376770257949829},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43710771203041077},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29195496439933777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25213924050331116},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.16726332902908325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11948475241661072},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08614733815193176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07224392890930176},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15439/2023f4335","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2023f4335","pdf_url":"https://annals-csis.org/proceedings/2023/drp/pdf/4335.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:70805e700936484999e5663341713551","is_oa":true,"landing_page_url":"https://doaj.org/article/70805e700936484999e5663341713551","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 35, Pp 1229-1233 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15439/2023f4335","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2023f4335","pdf_url":"https://annals-csis.org/proceedings/2023/drp/pdf/4335.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387619756.pdf"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1964144007","https://openalex.org/W2017822593","https://openalex.org/W2019236084","https://openalex.org/W2030848465","https://openalex.org/W2038280788","https://openalex.org/W2076997856","https://openalex.org/W2087422927","https://openalex.org/W2108167214","https://openalex.org/W3193379966","https://openalex.org/W4243637616"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W2026465854","https://openalex.org/W2362048241","https://openalex.org/W3082218119","https://openalex.org/W2372903818","https://openalex.org/W3016304894","https://openalex.org/W6840519","https://openalex.org/W3002409087","https://openalex.org/W1988449797","https://openalex.org/W2004449756"],"abstract_inverted_index":{"Assuming":[0],"a":[1,5,23,91,105,123,131,135,142,161],"bounded":[2],"polygon":[3,9,24,42,48,133,143,165],"and":[4,51,78,146,156],"point":[6,33,162],"inside":[7,163],"the":[8,14,19,32,36,41,46,52,55,61,73,87,102,127,151,164,172,175,180],"or":[10,39,81,114,166],"on":[11,83,167],"its":[12,115,168],"boundary,":[13],"visibility":[15,20,47,56,74,88,106,132,176],"polygon,":[16,140],"also":[17],"called":[18],"region,":[21],"is":[22,43,49,159,184],"reachable,":[25],"i.e.,":[26,141],"visible":[27],"by":[28],"straight":[29],"lines":[30],"from":[31],"without":[34,144],"hitting":[35],"polygon's":[37,57,63,107,112,177,182],"edges":[38],"vertices.If":[40],"bounded,":[44,50],"then":[45],"proportion":[53,103,129,173],"of":[54,72,104,126,130,174],"surface":[58,64,108,113,128,178,183],"area":[59,65],"to":[60,97,109,134,179],"given":[62,92,136],"could":[66],"be":[67,98],"enumerated.Many":[68],"papers":[69],"investigate":[70],"applications":[71],"polygons":[75],"in":[76,117],"robotics":[77],"computer":[79],"graphics":[80],"focus":[82],"computationally":[84],"effective":[85],"finding":[86],"region":[89],"for":[90,122],"polygon.However,":[93],"surprisingly,":[94],"there":[95,158],"seems":[96],"no":[99],"work":[100],"estimating":[101],"an":[110],"entire":[111,181],"bounds.Thus,":[116],"this":[118],"paper,":[119],"we":[120,149],"search":[121],"lower":[124],"bound":[125],"one.Assuming":[137],"n-sided":[138],"simple":[139],"holes":[145],"edge":[147],"intersections,":[148],"apply":[150],"well-known":[152],"art":[153],"gallery":[154],"problem":[155],"derive":[157],"always":[160],"boundary":[169],"that":[170],"guarantees":[171],"at":[185],"least":[186]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-28T09:26:25.869077","created_date":"2025-10-10T00:00:00"}
