{"id":"https://openalex.org/W2068171535","doi":"https://doi.org/10.1145/1236246.1236297","title":"A two-level topological decomposition for non-manifold simplicial shapes","display_name":"A two-level topological decomposition for non-manifold simplicial shapes","publication_year":2007,"publication_date":"2007-06-04","ids":{"openalex":"https://openalex.org/W2068171535","doi":"https://doi.org/10.1145/1236246.1236297","mag":"2068171535"},"language":"en","primary_location":{"id":"doi:10.1145/1236246.1236297","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236297","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 ACM symposium on Solid and physical modeling","raw_type":"proceedings-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/A5109151954","display_name":"Annie Hui","orcid":null},"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Annie Hui","raw_affiliation_strings":["University of Maryland, College Park"],"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","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)","University of Genova, Genova, Italy"],"affiliations":[{"raw_affiliation_string":"University of Genova, Genova (Italy)","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"University of Genova, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109151954"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":1.6228,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84747408,"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":"355","last_page":"360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9973999857902527,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9968000054359436,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9882000088691711,"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/simplicial-manifold","display_name":"Simplicial manifold","score":0.8678675889968872},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.6914362907409668},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.642632246017456},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5974340438842773},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.591863751411438},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.5862672328948975},{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.5533233284950256},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5182335376739502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5125606060028076},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.47218528389930725},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42855334281921387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34683895111083984},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2916020154953003},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.23127058148384094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18564897775650024},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1524614691734314}],"concepts":[{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.8678675889968872},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6914362907409668},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.642632246017456},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5974340438842773},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.591863751411438},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.5862672328948975},{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.5533233284950256},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5182335376739502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5125606060028076},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.47218528389930725},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42855334281921387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34683895111083984},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2916020154953003},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.23127058148384094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18564897775650024},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1524614691734314},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1236246.1236297","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236297","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 ACM symposium on Solid and physical modeling","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unige.it:11567/236875","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/236875","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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1901778463","https://openalex.org/W1966699136","https://openalex.org/W1975385221","https://openalex.org/W1976113887","https://openalex.org/W1986644591","https://openalex.org/W1988658389","https://openalex.org/W2016270137","https://openalex.org/W2016438406","https://openalex.org/W2039005177","https://openalex.org/W2061812658","https://openalex.org/W2089145844","https://openalex.org/W2136838646","https://openalex.org/W2137419625","https://openalex.org/W2139087592","https://openalex.org/W2143931888","https://openalex.org/W2292127841","https://openalex.org/W2296548800","https://openalex.org/W2808376485","https://openalex.org/W4213426196","https://openalex.org/W4239750358","https://openalex.org/W6697121683"],"related_works":["https://openalex.org/W4288359443","https://openalex.org/W2969857904","https://openalex.org/W2943582562","https://openalex.org/W4386942271","https://openalex.org/W230527091","https://openalex.org/W1992772797","https://openalex.org/W2399269288","https://openalex.org/W1761516028","https://openalex.org/W401177922","https://openalex.org/W4206371202"],"abstract_inverted_index":{"Modeling":[0],"and":[1,82,97],"understanding":[2],"complex":[3],"non-manifold":[4],"shapes":[5,14],"is":[6],"a":[7,34,45,50,56,60,99],"key":[8],"issue":[9],"in":[10,25],"shape":[11,37,61],"analysis.":[12],"Geometric":[13],"are":[15],"commonly":[16],"discretized":[17],"as":[18],"two-":[19],"or":[20],"three-dimensional":[21],"simplicial":[22,36],"complexes":[23],"embedded":[24],"the":[26,73,77,92,95],"3D":[27],"Euclidean":[28],"space.":[29],"The":[30],"topological":[31,57,74],"structure":[32],"of":[33,47,59,69,76],"nonmanifold":[35],"can":[38],"be":[39],"analyzed":[40],"through":[41],"its":[42],"decomposition":[43,58],"into":[44],"collection":[46],"components":[48,78],"with":[49,66],"simpler":[51],"topology.":[52],"Here,":[53],"we":[54,83],"present":[55,84],"at":[62,79],"two":[63],"different":[64,67],"levels,":[65],"degrees":[68],"granularity.":[70],"We":[71,90],"discuss":[72],"properties":[75],"each":[80],"level,":[81],"algorithms":[85],"for":[86,102],"computing":[87],"such":[88,103],"decompositions.":[89],"investigate":[91],"relations":[93],"among":[94],"components,":[96],"propose":[98],"graph-based":[100],"representation":[101],"relations.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
