{"id":"https://openalex.org/W3082138180","doi":"https://doi.org/10.1007/978-3-030-34444-3_5","title":"Mathematical Foundations in Visualization","display_name":"Mathematical Foundations in Visualization","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3082138180","doi":"https://doi.org/10.1007/978-3-030-34444-3_5","mag":"3082138180"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-34444-3_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-34444-3_5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Data Visualization","raw_type":"book-chapter"},"type":"book-chapter","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/A5040236693","display_name":"Ingrid Hotz","orcid":"https://orcid.org/0000-0001-7285-0483"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Ingrid Hotz","raw_affiliation_strings":["Link\u00f6ping University, Norrk\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Link\u00f6ping University, Norrk\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063964395","display_name":"Roxana Bujack","orcid":"https://orcid.org/0000-0002-5479-3726"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roxana Bujack","raw_affiliation_strings":["Los Alamos National Laboratory, Santa Fe, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Santa Fe, NM, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071898071","display_name":"Christoph Garth","orcid":"https://orcid.org/0000-0003-1669-8549"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Garth","raw_affiliation_strings":["Technische Universit\u00e4t Kaiserslautern, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100349956","display_name":"Bei Wang","orcid":"https://orcid.org/0000-0002-9240-0700"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bei Wang","raw_affiliation_strings":["University of Utah, Salt Lake City, UT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040236693"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":0.6079,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69583416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"87","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.9987999796867371,"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":0.9884999990463257,"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/visualization","display_name":"Visualization","score":0.8542066216468811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6509029269218445},{"id":"https://openalex.org/keywords/information-visualization","display_name":"Information visualization","score":0.5301491022109985},{"id":"https://openalex.org/keywords/statistical-graphics","display_name":"Statistical graphics","score":0.507574200630188},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48856982588768005},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.4526623487472534},{"id":"https://openalex.org/keywords/visual-analytics","display_name":"Visual analytics","score":0.4387781620025635},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.42339658737182617},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4177362620830536},{"id":"https://openalex.org/keywords/data-science","display_name":"Data science","score":0.35826361179351807},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2260858714580536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22028300166130066},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10659387707710266}],"concepts":[{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.8542066216468811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6509029269218445},{"id":"https://openalex.org/C185578843","wikidata":"https://www.wikidata.org/wiki/Q10609775","display_name":"Information visualization","level":3,"score":0.5301491022109985},{"id":"https://openalex.org/C28883458","wikidata":"https://www.wikidata.org/wiki/Q3427422","display_name":"Statistical graphics","level":3,"score":0.507574200630188},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48856982588768005},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.4526623487472534},{"id":"https://openalex.org/C59732488","wikidata":"https://www.wikidata.org/wiki/Q2528440","display_name":"Visual analytics","level":3,"score":0.4387781620025635},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.42339658737182617},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4177362620830536},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.35826361179351807},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2260858714580536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22028300166130066},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10659387707710266}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-34444-3_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-34444-3_5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Data Visualization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.8399999737739563,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":109,"referenced_works":["https://openalex.org/W269812687","https://openalex.org/W850683089","https://openalex.org/W884650706","https://openalex.org/W1485732691","https://openalex.org/W1486317776","https://openalex.org/W1496383623","https://openalex.org/W1502291261","https://openalex.org/W1502450301","https://openalex.org/W1502888554","https://openalex.org/W1514096086","https://openalex.org/W1533333879","https://openalex.org/W1537959116","https://openalex.org/W1539166460","https://openalex.org/W1543750907","https://openalex.org/W1577802689","https://openalex.org/W1587477963","https://openalex.org/W1597405158","https://openalex.org/W1600374794","https://openalex.org/W1601975155","https://openalex.org/W1635779336","https://openalex.org/W1641311894","https://openalex.org/W1673310716","https://openalex.org/W1970754929","https://openalex.org/W1974005424","https://openalex.org/W1983239906","https://openalex.org/W1986853035","https://openalex.org/W1987269142","https://openalex.org/W1987841871","https://openalex.org/W1987942756","https://openalex.org/W1992419399","https://openalex.org/W2011316786","https://openalex.org/W2016480299","https://openalex.org/W2027176649","https://openalex.org/W2034833521","https://openalex.org/W2036257648","https://openalex.org/W2037613900","https://openalex.org/W2044986591","https://openalex.org/W2050439505","https://openalex.org/W2051752778","https://openalex.org/W2054274648","https://openalex.org/W2059515884","https://openalex.org/W2061564714","https://openalex.org/W2068014716","https://openalex.org/W2075085615","https://openalex.org/W2079683193","https://openalex.org/W2086839708","https://openalex.org/W2089472251","https://openalex.org/W2095105262","https://openalex.org/W2098046600","https://openalex.org/W2101135700","https://openalex.org/W2106814120","https://openalex.org/W2108766743","https://openalex.org/W2109657057","https://openalex.org/W2116044718","https://openalex.org/W2120323262","https://openalex.org/W2121947440","https://openalex.org/W2122169399","https://openalex.org/W2125105302","https://openalex.org/W2134902330","https://openalex.org/W2142856765","https://openalex.org/W2145741639","https://openalex.org/W2150969685","https://openalex.org/W2163727044","https://openalex.org/W2165418521","https://openalex.org/W2186523764","https://openalex.org/W2211505654","https://openalex.org/W2299004141","https://openalex.org/W2320271346","https://openalex.org/W2323909273","https://openalex.org/W2327525319","https://openalex.org/W2432517183","https://openalex.org/W2434971738","https://openalex.org/W2491423569","https://openalex.org/W2533132337","https://openalex.org/W2740924709","https://openalex.org/W2750869390","https://openalex.org/W2785661498","https://openalex.org/W2816876164","https://openalex.org/W2889883186","https://openalex.org/W2963223747","https://openalex.org/W2970841261","https://openalex.org/W2971587657","https://openalex.org/W2984925782","https://openalex.org/W3013843370","https://openalex.org/W3040586665","https://openalex.org/W3138447845","https://openalex.org/W3140579943","https://openalex.org/W3141390699","https://openalex.org/W3177831155","https://openalex.org/W4211095002","https://openalex.org/W4230072584","https://openalex.org/W4231291595","https://openalex.org/W4231760708","https://openalex.org/W4232823613","https://openalex.org/W4235062160","https://openalex.org/W4241567030","https://openalex.org/W4248017591","https://openalex.org/W4250310797","https://openalex.org/W4251391716","https://openalex.org/W4251512373","https://openalex.org/W4255383393","https://openalex.org/W4285719527","https://openalex.org/W4297662214","https://openalex.org/W4298266538","https://openalex.org/W4300793121","https://openalex.org/W4300942549","https://openalex.org/W4318901880","https://openalex.org/W6620489757","https://openalex.org/W6903081034"],"related_works":["https://openalex.org/W4254905030","https://openalex.org/W4238782299","https://openalex.org/W4240846181","https://openalex.org/W2187247810","https://openalex.org/W4256699771","https://openalex.org/W2026070826","https://openalex.org/W1579608007","https://openalex.org/W84603813","https://openalex.org/W2362367986","https://openalex.org/W2138584026"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
