{"id":"https://openalex.org/W2153637168","doi":"https://doi.org/10.1177/1473871613480061","title":"Cartograms via mathematical morphology","display_name":"Cartograms via mathematical morphology","publication_year":2013,"publication_date":"2013-03-26","ids":{"openalex":"https://openalex.org/W2153637168","doi":"https://doi.org/10.1177/1473871613480061","mag":"2153637168"},"language":"en","primary_location":{"id":"doi:10.1177/1473871613480061","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1473871613480061","pdf_url":null,"source":{"id":"https://openalex.org/S55152591","display_name":"Information Visualization","issn_l":"1473-8716","issn":["1473-8716","1473-8724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Visualization","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/A5056426413","display_name":"B. S. Daya Sagar","orcid":"https://orcid.org/0000-0002-6140-8742"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"B S Daya Sagar","raw_affiliation_strings":["Systems Science and Informatics Unit (SSIU), Indian Statistical Institute-Bangalore Centre, Bangalore, Karnataka, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems Science and Informatics Unit (SSIU), Indian Statistical Institute-Bangalore Centre, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056426413"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":null,"apc_paid":null,"fwci":1.3473,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.8266704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"1","first_page":"42","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10226","display_name":"Land Use and Ecosystem Services","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10226","display_name":"Land Use and Ecosystem Services","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10895","display_name":"Species Distribution and Climate Change","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10111","display_name":"Remote Sensing in Agriculture","score":0.9538999795913696,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/skeletonization","display_name":"Skeletonization","score":0.9899951219558716},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.9123051166534424},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.742563784122467},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.7159568667411804},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6451661586761475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6113762855529785},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5042792558670044},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4872967004776001},{"id":"https://openalex.org/keywords/morphology","display_name":"Morphology (biology)","score":0.4429774582386017},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.4346752464771271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41309696435928345},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40827447175979614},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3607601523399353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31322917342185974},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25751590728759766},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.21595969796180725},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1965334415435791},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09825021028518677},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.09236493706703186},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07930582761764526}],"concepts":[{"id":"https://openalex.org/C23951316","wikidata":"https://www.wikidata.org/wiki/Q1984140","display_name":"Skeletonization","level":2,"score":0.9899951219558716},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.9123051166534424},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.742563784122467},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.7159568667411804},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6451661586761475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6113762855529785},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5042792558670044},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4872967004776001},{"id":"https://openalex.org/C499950583","wikidata":"https://www.wikidata.org/wiki/Q183252","display_name":"Morphology (biology)","level":2,"score":0.4429774582386017},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4346752464771271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41309696435928345},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40827447175979614},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3607601523399353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31322917342185974},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25751590728759766},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.21595969796180725},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1965334415435791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09825021028518677},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.09236493706703186},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07930582761764526},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/1473871613480061","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1473871613480061","pdf_url":null,"source":{"id":"https://openalex.org/S55152591","display_name":"Information Visualization","issn_l":"1473-8716","issn":["1473-8716","1473-8724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Visualization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327938","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W60978252","https://openalex.org/W1485262373","https://openalex.org/W1507189098","https://openalex.org/W1930514276","https://openalex.org/W1976878488","https://openalex.org/W1984505857","https://openalex.org/W1987522255","https://openalex.org/W1996490509","https://openalex.org/W2019099836","https://openalex.org/W2037398368","https://openalex.org/W2070672650","https://openalex.org/W2071807189","https://openalex.org/W2076035429","https://openalex.org/W2076035893","https://openalex.org/W2104351948","https://openalex.org/W2105795805","https://openalex.org/W2108239135","https://openalex.org/W2130132154","https://openalex.org/W2131598633","https://openalex.org/W2131682312","https://openalex.org/W2132399935","https://openalex.org/W2148987114","https://openalex.org/W2149739409","https://openalex.org/W2151045902","https://openalex.org/W2158937042","https://openalex.org/W2164741953","https://openalex.org/W2199159668","https://openalex.org/W2316153652","https://openalex.org/W2780748231","https://openalex.org/W2899517269","https://openalex.org/W4230982142","https://openalex.org/W4241761266"],"related_works":["https://openalex.org/W2892082603","https://openalex.org/W2070724468","https://openalex.org/W1918907803","https://openalex.org/W4244832718","https://openalex.org/W2350829401","https://openalex.org/W2153637168","https://openalex.org/W4294237215","https://openalex.org/W1431586989","https://openalex.org/W2053402450","https://openalex.org/W2011821287"],"abstract_inverted_index":{"Visualization":[0],"of":[1,7,38,45,50,52,58,126,149,175,178,188,196],"geographic":[2],"variables":[3],"as":[4],"spatial":[5],"objects":[6],"size":[8],"proportional":[9],"to":[10,26,100,130,198],"variable":[11,99],"strength":[12],"is":[13,155],"possible":[14],"via":[15,76,114],"generating":[16,140],"cartograms.":[17,29],"We":[18,92],"developed":[19],"a":[20,94,97],"methodology":[21,31],"based":[22],"on":[23,33],"mathematical":[24],"morphology":[25],"generate":[27],"contiguous":[28,73],"This":[30,40,137],"relies":[32],"weighted":[34,41,192],"skeletonization":[35,42,193],"by":[36,43,171,194],"zone":[37,44,195],"influence.":[39],"influence":[46],"determines":[47],"the":[48,64,69,81,102,106,110,121,143,147,158,163,173,182,200],"points":[49],"contact":[51],"multiple":[53],"frontlines":[54],"propagating":[55],"from":[56,157],"centroids":[57],"various":[59],"planar":[60],"sets":[61],"(states)":[62],"at":[63,146],"traveling":[65],"rates":[66],"depending":[67],"upon":[68],"variable\u2019s":[70],"strength.":[71],"The":[72],"cartogram":[74,95,123],"generated":[75,93,113],"this":[77],"morphology-based":[78,122,165],"algorithm":[79],"preserves":[80,142],"global":[82,135,144],"shape":[83,145,202],"and":[84,87,134,186,204],"local":[85,132,201],"shapes":[86],"yields":[88],"minimal":[89],"area":[90,152,205],"errors.":[91,153,206],"for":[96,109,139],"population":[98,107],"demonstrate":[101],"proposed":[103,164],"approach.":[104],"Furthermore,":[105],"cartograms":[108,141],"United":[111],"States":[112],"four":[115],"other":[116],"approaches":[117],"are":[118],"compared":[119],"with":[120,128,151],"in":[124],"terms":[125],"errors":[127,203],"respect":[129],"area,":[131],"shape,":[133],"shape.":[136],"approach":[138,166],"expense":[148],"compromising":[150],"It":[154],"inferred":[156],"comparative":[159],"error":[160],"analysis":[161],"that":[162],"could":[167],"be":[168],"further":[169],"extended":[170],"exploring":[172],"applicability":[174],"additional":[176],"characteristics":[177],"B,":[179],"which":[180],"controls":[181],"dilation":[183,189],"propagation":[184],"speed":[185],"direction":[187],"while":[190],"performing":[191],"influence,":[197],"minimize":[199]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-04T06:00:05.808912","created_date":"2025-10-10T00:00:00"}