{"id":"https://openalex.org/W2473319492","doi":"https://doi.org/10.2312/egs.20021041","title":"Extraction of Critical Points and Nets Based on Discrete Gradient Vector Field","display_name":"Extraction of Critical Points and Nets Based on Discrete Gradient Vector Field","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2473319492","doi":"https://doi.org/10.2312/egs.20021041","mag":"2473319492"},"language":"en","primary_location":{"id":"doi:10.2312/egs.20021041","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20021041","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/egs.20021041","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018924195","display_name":"Leila De Floriani","orcid":"https://orcid.org/0000-0002-1361-2888"},"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":"De Floriani, Leila","raw_affiliation_strings":["University of Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054529830","display_name":"Mohammed Mostefa Mesmoudi","orcid":null},"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":"Mesmoudi, Mohammed Mostefa","raw_affiliation_strings":["University of Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080238541","display_name":"Emanuele Danovaro","orcid":"https://orcid.org/0000-0003-2025-6794"},"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":"Danovaro, Emanuele","raw_affiliation_strings":["University of Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83816512"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.8295000195503235,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.8295000195503235,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.8144000172615051,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.7355999946594238,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/computer-science","display_name":"Computer science","score":0.5576159358024597},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5376518964767456},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.49124640226364136},{"id":"https://openalex.org/keywords/extraction","display_name":"Extraction (chemistry)","score":0.4465649425983429},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33114805817604065},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26931750774383545},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1359325349330902},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09875765442848206},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.08534249663352966}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5576159358024597},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5376518964767456},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.49124640226364136},{"id":"https://openalex.org/C4725764","wikidata":"https://www.wikidata.org/wiki/Q844704","display_name":"Extraction (chemistry)","level":2,"score":0.4465649425983429},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33114805817604065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26931750774383545},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1359325349330902},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09875765442848206},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.08534249663352966},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2312/egs.20021041","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20021041","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"mag:2473319492","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/eurographics/eg-short2002.html#FlorianiMD02","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Eurographics","raw_type":null}],"best_oa_location":{"id":"doi:10.2312/egs.20021041","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20021041","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3211081793","https://openalex.org/W1987465074","https://openalex.org/W2252267218","https://openalex.org/W1964026975","https://openalex.org/W2566196975","https://openalex.org/W642084827","https://openalex.org/W2780520399","https://openalex.org/W3012031836","https://openalex.org/W1982351634","https://openalex.org/W2387221739","https://openalex.org/W2066483485","https://openalex.org/W2885802174","https://openalex.org/W2241229005","https://openalex.org/W2776847655","https://openalex.org/W2275703972","https://openalex.org/W646338180","https://openalex.org/W1561384486","https://openalex.org/W2936740112","https://openalex.org/W3112789528","https://openalex.org/W2046397872"],"abstract_inverted_index":{"In":[0],"this":[1,20],"paper":[2],"we":[3,22,32,63],"address":[4],"the":[5,9,24,39,53,59,73],"problem":[6],"of":[7,11,26,42,55],"representing":[8],"topology":[10],"discrete":[12,27,74],"scalar":[13,44],"fields":[14],"defined":[15,46],"on":[16],"triangulated":[17],"domains.":[18],"To":[19],"aim,":[21],"use":[23],"notion":[25],"gradient":[28],"vector":[29],"field":[30,45],"that":[31,51],"have":[33],"introduced":[34],"in":[35,58,72],"[4]":[36],"to":[37],"classify":[38],"critical":[40,56,70],"points":[41,57],"a":[43,48,69],"over":[47],"two-dimensional":[49],"domain":[50],"generalizes":[52],"nature":[54],"differentiable":[60],"case.":[61,75],"Then":[62],"sketch":[64],"an":[65],"algorithm":[66],"for":[67],"extracting":[68],"net":[71]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
