{"id":"https://openalex.org/W1994226945","doi":"https://doi.org/10.1145/1236246.1236259","title":"Solid and physical modeling with chain complexes","display_name":"Solid and physical modeling with chain complexes","publication_year":2007,"publication_date":"2007-06-04","ids":{"openalex":"https://openalex.org/W1994226945","doi":"https://doi.org/10.1145/1236246.1236259","mag":"1994226945"},"language":"en","primary_location":{"id":"doi:10.1145/1236246.1236259","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236259","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/A5074046624","display_name":"Anton\u0131o DiCarlo","orcid":"https://orcid.org/0000-0002-7736-684X"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Antonio DiCarlo","raw_affiliation_strings":["Universit\u00e0 \"Roma Tre\", Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 \"Roma Tre\", Rome, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017152835","display_name":"Franco Milicchio","orcid":"https://orcid.org/0000-0002-4875-4894"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Franco Milicchio","raw_affiliation_strings":["Universit\u00e0 \"Roma Tre\", Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 \"Roma Tre\", Rome, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034405971","display_name":"Alberto Paoluzzi","orcid":"https://orcid.org/0000-0002-3958-8089"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Paoluzzi","raw_affiliation_strings":["Universit\u00e0 \"Roma Tre\", Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 \"Roma Tre\", Rome, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111666256","display_name":"Vadim Shapiro","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vadim Shapiro","raw_affiliation_strings":["University of Wisconsin, Madison, WI","University of Wisconsin - Madison WI#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Madison, WI","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin - Madison WI#TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074046624"],"corresponding_institution_ids":["https://openalex.org/I119003972"],"apc_list":null,"apc_paid":null,"fwci":2.9886,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90429586,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"73","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.995199978351593,"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":0.995199978351593,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.992900013923645,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9900000095367432,"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/block","display_name":"Block (permutation group theory)","score":0.6072174310684204},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.57553631067276},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.567969799041748},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.567616879940033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5055363178253174},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.489731103181839},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4829508662223816},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48281607031822205},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4527584910392761},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.43275177478790283},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.4190109968185425},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3800450563430786},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37511590123176575},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3722001016139984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36773645877838135},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2101910412311554},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13300809264183044},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.11587461829185486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09657120704650879},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0902593731880188},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06961321830749512}],"concepts":[{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6072174310684204},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.57553631067276},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.567969799041748},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.567616879940033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5055363178253174},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.489731103181839},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4829508662223816},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48281607031822205},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4527584910392761},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.43275177478790283},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.4190109968185425},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3800450563430786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37511590123176575},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3722001016139984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36773645877838135},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2101910412311554},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13300809264183044},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.11587461829185486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09657120704650879},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0902593731880188},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06961321830749512},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/1236246.1236259","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236259","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:CiteSeerX.psu:10.1.1.497.1286","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.497.1286","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://plm.dia.uniroma3.it/milicchio/wp-content/uploads/2008/08/spm2007.pdf","raw_type":"text"},{"id":"pmh:oai:iris.uniroma3.it:11590/179123","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/179123","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"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"},{"id":"pmh:oai:iris.uniroma3.it:11590/182397","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/182397","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"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"},{"id":"pmh:oai:iris.uniroma3.it:11590/184644","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/184644","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W21223778","https://openalex.org/W31776649","https://openalex.org/W58305070","https://openalex.org/W1496383623","https://openalex.org/W1520511539","https://openalex.org/W1522382323","https://openalex.org/W1557499844","https://openalex.org/W1969856544","https://openalex.org/W1973214690","https://openalex.org/W1975403855","https://openalex.org/W1978711628","https://openalex.org/W1983033166","https://openalex.org/W1988403976","https://openalex.org/W2001307353","https://openalex.org/W2004511394","https://openalex.org/W2018026486","https://openalex.org/W2025734987","https://openalex.org/W2045830327","https://openalex.org/W2052165970","https://openalex.org/W2059029870","https://openalex.org/W2073720951","https://openalex.org/W2076201771","https://openalex.org/W2096183149","https://openalex.org/W2100185791","https://openalex.org/W2100811596","https://openalex.org/W2106724205","https://openalex.org/W2108551799","https://openalex.org/W2111819097","https://openalex.org/W2115350502","https://openalex.org/W2118238961","https://openalex.org/W2121752747","https://openalex.org/W2138486270","https://openalex.org/W2152495224","https://openalex.org/W2155915335","https://openalex.org/W2486762503","https://openalex.org/W3040586665","https://openalex.org/W3138705879","https://openalex.org/W6600864892","https://openalex.org/W6629795034","https://openalex.org/W6631144761","https://openalex.org/W6677691421","https://openalex.org/W6678572348","https://openalex.org/W6780011183","https://openalex.org/W6979850745","https://openalex.org/W7029654315"],"related_works":["https://openalex.org/W2018702098","https://openalex.org/W2597266923","https://openalex.org/W2156024331","https://openalex.org/W569408057","https://openalex.org/W2161243591","https://openalex.org/W30930551","https://openalex.org/W4211094555","https://openalex.org/W2153233687","https://openalex.org/W2003238696","https://openalex.org/W2349734904"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,34,40],"show":[4,41],"that":[5,33,42],"the":[6,14,36,48,62,66],"(co)chain":[7],"complex":[8],"associated":[9],"with":[10],"a":[11,19,30],"decomposition":[12],"of":[13,50,61],"computational":[15,22],"domain,":[16],"commonly":[17],"called":[18],"mesh":[20,44],"in":[21],"science":[23],"and":[24],"engineering,":[25],"can":[26,55],"be":[27,56],"represented":[28],"by":[29,47],"block-bidiagonal":[31],"matrix":[32,64],"call":[35],"Hasse":[37,63],"matrix.":[38],"Moreover,":[39],"topology-preserving":[43],"refinements,":[45],"produced":[46],"action":[49],"(the":[51],"simplest)":[52],"Euler":[53],"operators,":[54],"reduced":[57],"to":[58],"multi-linear":[59],"transformations":[60],"representing":[65],"complex.":[67]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
