{"id":"https://openalex.org/W2081064171","doi":"https://doi.org/10.1145/1839778.1839806","title":"Multiresolution morse triangulations","display_name":"Multiresolution morse triangulations","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2081064171","doi":"https://doi.org/10.1145/1839778.1839806","mag":"2081064171"},"language":"en","primary_location":{"id":"doi:10.1145/1839778.1839806","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1839778.1839806","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM Symposium on Solid and Physical Modeling","raw_type":"proceedings-article"},"type":"conference-paper","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/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":"Emanuele Danovaro","raw_affiliation_strings":["University of Genova, Genova, (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, Genova, (Italy)","institution_ids":["https://openalex.org/I83816512"]}]},{"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/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":"Leila De Floriani","raw_affiliation_strings":["University of Genova, Genova, (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, Genova, (Italy)","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027120705","display_name":"Paola Magillo","orcid":"https://orcid.org/0000-0001-5088-034X"},"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":"Paola Magillo","raw_affiliation_strings":["University of Genova, Genova, (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, Genova, (Italy)","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073969058","display_name":"Maria Vitali","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":"Maria Vitali","raw_affiliation_strings":["University of Genova, Genova, (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Genova, 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":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"183","last_page":"188"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9972000122070312,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9955999851226807,"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/triangulation","display_name":"Triangulation","score":0.6760017275810242},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.6439485549926758},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5890641212463379},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.556373655796051},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5093082189559937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4505293667316437},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4370410740375519},{"id":"https://openalex.org/keywords/point-set-triangulation","display_name":"Point set triangulation","score":0.4358063340187073},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.4119783639907837},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3915683925151825},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37291210889816284},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3412361741065979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3156964182853699},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.2694851756095886},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.22850751876831055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19628238677978516},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.1477717161178589},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14622148871421814},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.13703006505966187},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.08478191494941711}],"concepts":[{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.6760017275810242},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.6439485549926758},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5890641212463379},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.556373655796051},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5093082189559937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4505293667316437},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4370410740375519},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.4358063340187073},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4119783639907837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3915683925151825},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37291210889816284},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3412361741065979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3156964182853699},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.2694851756095886},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.22850751876831055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19628238677978516},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.1477717161178589},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14622148871421814},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.13703006505966187},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.08478191494941711},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1839778.1839806","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1839778.1839806","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM Symposium on Solid and Physical Modeling","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unige.it:11567/300005","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/300005","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G4705027690","display_name":null,"funder_award_id":"RBIN04HWR8","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8349175257","display_name":null,"funder_award_id":"CCF-0541032","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W116833144","https://openalex.org/W181053014","https://openalex.org/W600837911","https://openalex.org/W1486799374","https://openalex.org/W1530609035","https://openalex.org/W1789937406","https://openalex.org/W2017128277","https://openalex.org/W2017709497","https://openalex.org/W2017759715","https://openalex.org/W2023808821","https://openalex.org/W2053798192","https://openalex.org/W2056229121","https://openalex.org/W2061083393","https://openalex.org/W2099329077","https://openalex.org/W2101570837","https://openalex.org/W2123207641","https://openalex.org/W2142822968","https://openalex.org/W2235901111","https://openalex.org/W2242141577","https://openalex.org/W4256433054","https://openalex.org/W6631862368"],"related_works":["https://openalex.org/W4389768470","https://openalex.org/W2037435271","https://openalex.org/W1539643790","https://openalex.org/W4298393012","https://openalex.org/W2106662121","https://openalex.org/W2788487518","https://openalex.org/W1595332435","https://openalex.org/W4308897745","https://openalex.org/W2162558730","https://openalex.org/W4281700539"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,6,9,50,53,77],"problem":[3],"of":[4,11,38,44,52,76],"representing":[5],"geometry":[7],"and":[8,24,43,63,66,73,82],"morphology":[10,51],"a":[12,17,21,31,39,45,60],"triangulated":[13],"surface":[14],"endowed":[15],"with":[16],"scalar":[18],"field":[19,78],"in":[20],"combined":[22,61],"geometric":[23],"topological":[25],"multiresolution":[26,40,46],"model.":[27],"The":[28,55],"model,":[29],"called":[30],"Multiresolution":[32],"Morse":[33,47],"Triangulation":[34],"(MMT),":[35],"is":[36,57],"composed":[37],"triangle":[41],"mesh,":[42],"complex":[48],"describing":[49],"field.":[54],"MMT":[56],"built":[58],"through":[59],"morphological":[62,74],"geometrical":[64,72],"generalization,":[65],"supports":[67],"queries":[68],"to":[69],"extract":[70],"consistent":[71],"representations":[75],"at":[79],"both":[80],"uniform":[81],"variable":[83],"resolutions.":[84]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
