{"id":"https://openalex.org/W76139861","doi":"https://doi.org/10.1007/978-3-540-33265-7_6","title":"Morphological Representations of Scalar Fields","display_name":"Morphological Representations of Scalar Fields","publication_year":2007,"publication_date":"2007-12-23","ids":{"openalex":"https://openalex.org/W76139861","doi":"https://doi.org/10.1007/978-3-540-33265-7_6","mag":"76139861"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-33265-7_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-33265-7_6","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and 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/A5025286783","display_name":"Silvia Biasotti","orcid":"https://orcid.org/0000-0002-9992-825X"},"institutions":[{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"funder","lineage":["https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvia Biasotti","raw_affiliation_strings":["Istituto di Matematica Applicata e Tecnologie Informatiche, Italian National Research Council, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Istituto di Matematica Applicata e Tecnologie Informatiche, Italian National Research Council, Genova, Italy","institution_ids":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018924195","display_name":"Leila De Floriani","orcid":"https://orcid.org/0000-0002-1361-2888"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]},{"id":"https://openalex.org/I4210125647","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Genova","ror":"https://ror.org/02v89pq06","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210125647"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"Leila De Floriani","raw_affiliation_strings":["Department of Computer Science (DISI), University of Genova, Genova, Italy","Department of Computer Science, University of Maryland, College Park, MD 20740, USA","Department of Computer and Information Sciences (DISI), University of Genova, Via Dodecaneso, 35, 16146, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science (DISI), University of Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"Department of Computer Science, University of Maryland, College Park, MD 20740, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Computer and Information Sciences (DISI), University of Genova, Via Dodecaneso, 35, 16146, Genova, Italy","institution_ids":["https://openalex.org/I4210125647","https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044159817","display_name":"Bianca Falcidieno","orcid":"https://orcid.org/0000-0002-9522-2874"},"institutions":[{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"funder","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Bianca Falcidieno","raw_affiliation_strings":["Istituto di Matematica Applicata e Tecnologie Informatiche, Italian National Research Council, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Istituto di Matematica Applicata e Tecnologie Informatiche, Italian National Research Council, Genova, Italy","institution_ids":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087372980","display_name":"Laura Papaleo","orcid":"https://orcid.org/0000-0002-8930-8057"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Laura Papaleo","raw_affiliation_strings":["Department of Computer Science (DISI), University of Genova, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science (DISI), University of Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025286783"],"corresponding_institution_ids":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"],"apc_list":null,"apc_paid":null,"fwci":1.3643,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79448723,"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":"185","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T12923","display_name":"Digital Image Processing 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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.7561110258102417},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.7166504859924316},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.6699681878089905},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.584308922290802},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.5395369529724121},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.48477286100387573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4203093349933624},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.413382351398468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4038609564304352},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3287363052368164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3276389241218567},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3081095218658447},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23837459087371826},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14008012413978577},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.08974257111549377}],"concepts":[{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7561110258102417},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.7166504859924316},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.6699681878089905},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.584308922290802},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.5395369529724121},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.48477286100387573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4203093349933624},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.413382351398468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4038609564304352},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3287363052368164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3276389241218567},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3081095218658447},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23837459087371826},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14008012413978577},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08974257111549377},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-33265-7_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-33265-7_6","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":94,"referenced_works":["https://openalex.org/W14292840","https://openalex.org/W39531900","https://openalex.org/W81474395","https://openalex.org/W116833144","https://openalex.org/W183560287","https://openalex.org/W1486396707","https://openalex.org/W1497711060","https://openalex.org/W1509634142","https://openalex.org/W1518301443","https://openalex.org/W1530609035","https://openalex.org/W1535866048","https://openalex.org/W1548333856","https://openalex.org/W1555438743","https://openalex.org/W1560789313","https://openalex.org/W1561442812","https://openalex.org/W1575243381","https://openalex.org/W1579792143","https://openalex.org/W1590627183","https://openalex.org/W1607178577","https://openalex.org/W1652775531","https://openalex.org/W1807839114","https://openalex.org/W1954326677","https://openalex.org/W1957264581","https://openalex.org/W1975207205","https://openalex.org/W1975944031","https://openalex.org/W1978608020","https://openalex.org/W1985873182","https://openalex.org/W1986970331","https://openalex.org/W1987982952","https://openalex.org/W1988563578","https://openalex.org/W1995882555","https://openalex.org/W2001009585","https://openalex.org/W2002211861","https://openalex.org/W2012219272","https://openalex.org/W2015119965","https://openalex.org/W2016039978","https://openalex.org/W2017128277","https://openalex.org/W2017709497","https://openalex.org/W2025818287","https://openalex.org/W2038809843","https://openalex.org/W2039256085","https://openalex.org/W2041758490","https://openalex.org/W2047076586","https://openalex.org/W2050439505","https://openalex.org/W2053042871","https://openalex.org/W2053508167","https://openalex.org/W2056229121","https://openalex.org/W2059029870","https://openalex.org/W2064020260","https://openalex.org/W2068014716","https://openalex.org/W2077891293","https://openalex.org/W2080621247","https://openalex.org/W2083586903","https://openalex.org/W2087350687","https://openalex.org/W2089982566","https://openalex.org/W2095326847","https://openalex.org/W2102858796","https://openalex.org/W2106923907","https://openalex.org/W2110228172","https://openalex.org/W2116707521","https://openalex.org/W2123207641","https://openalex.org/W2124260943","https://openalex.org/W2127871444","https://openalex.org/W2129307378","https://openalex.org/W2131035298","https://openalex.org/W2133728129","https://openalex.org/W2135609792","https://openalex.org/W2136186816","https://openalex.org/W2142822968","https://openalex.org/W2149791793","https://openalex.org/W2153148528","https://openalex.org/W2159329531","https://openalex.org/W2160747282","https://openalex.org/W2163167610","https://openalex.org/W2251554335","https://openalex.org/W2505399031","https://openalex.org/W2914932700","https://openalex.org/W2956819335","https://openalex.org/W3138447845","https://openalex.org/W3143382524","https://openalex.org/W3144131567","https://openalex.org/W3188105984","https://openalex.org/W4211033840","https://openalex.org/W4213199372","https://openalex.org/W4231966649","https://openalex.org/W4242448156","https://openalex.org/W4246003206","https://openalex.org/W4253981400","https://openalex.org/W4285719527","https://openalex.org/W4292003313","https://openalex.org/W4297792979","https://openalex.org/W6650498234","https://openalex.org/W6675576284","https://openalex.org/W6824368377"],"related_works":["https://openalex.org/W2037435271","https://openalex.org/W1595332435","https://openalex.org/W2185671344","https://openalex.org/W4389768470","https://openalex.org/W1976948755","https://openalex.org/W4308897745","https://openalex.org/W2106662121","https://openalex.org/W2182193748","https://openalex.org/W4391621586","https://openalex.org/W4281700539"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
