{"id":"https://openalex.org/W4312105526","doi":"https://doi.org/10.1109/topoinvis57755.2022.00011","title":"Reduced Connectivity for Local Bilinear Jacobi Sets","display_name":"Reduced Connectivity for Local Bilinear Jacobi Sets","publication_year":2022,"publication_date":"2022-10-01","ids":{"openalex":"https://openalex.org/W4312105526","doi":"https://doi.org/10.1109/topoinvis57755.2022.00011"},"language":"en","primary_location":{"id":"doi:10.1109/topoinvis57755.2022.00011","doi":"https://doi.org/10.1109/topoinvis57755.2022.00011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/topoinvis57755.2022.00011","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 Topological Data Analysis and Visualization (TopoInVis)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2208.07148","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062939867","display_name":"Daniel Kl\u00f6tzl","orcid":"https://orcid.org/0000-0002-4222-3320","observed_orcids":["https://orcid.org/0000-0002-4222-3320"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Klotzl","raw_affiliation_strings":["University of Stuttgart (VISUS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart (VISUS)","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040374842","display_name":"Tim Krake","orcid":"https://orcid.org/0009-0004-7084-3633","observed_orcids":["https://orcid.org/0009-0004-7084-3633"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Krake","raw_affiliation_strings":["University of Stuttgart (VISUS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart (VISUS)","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051236474","display_name":"Youjia Zhou","orcid":"https://orcid.org/0000-0002-4501-8496","observed_orcids":["https://orcid.org/0000-0002-4501-8496"]},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Youjia Zhou","raw_affiliation_strings":["University of Utah (SCI)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah (SCI)","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jonathan Stober","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonathan Stober","raw_affiliation_strings":["University of Stuttgart (ITLR)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart (ITLR)","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057434145","display_name":"Kathrin Schulte","orcid":"https://orcid.org/0000-0001-8650-5840","observed_orcids":["https://orcid.org/0000-0001-8650-5840"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kathrin Schulte","raw_affiliation_strings":["University of Stuttgart (ITLR)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart (ITLR)","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040236693","display_name":"Ingrid Hotz","orcid":"https://orcid.org/0000-0001-7285-0483","observed_orcids":["https://orcid.org/0000-0001-7285-0483"]},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Ingrid Hotz","raw_affiliation_strings":["Linköping University (ITN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Linköping University (ITN)","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100349956","display_name":"Bei Wang","orcid":"https://orcid.org/0000-0002-9240-0700","observed_orcids":["https://orcid.org/0000-0002-9240-0700"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bei Wang","raw_affiliation_strings":["University of Stuttgart (ITLR)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart (ITLR)","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073619125","display_name":"Daniel Weiskopf","orcid":"https://orcid.org/0000-0003-1174-1026","observed_orcids":["https://orcid.org/0000-0003-1174-1026"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Weiskopf","raw_affiliation_strings":["University of Stuttgart (ITLR)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart (ITLR)","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.763,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67365845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.8881999850273132,"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":0.8881999850273132,"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":0.07349999994039536,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.005100000184029341,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homotopy-equivalence","display_name":"homotopy equivalence","score":0.7129999995231628},{"id":"https://openalex.org/keywords/edge-contraction","display_name":"edge contraction","score":0.8209999799728394},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"simplicial complexes","score":0.8769999742507935},{"id":"https://openalex.org/keywords/topology-preservation","display_name":"topology preservation","score":0.5429999828338623},{"id":"https://openalex.org/keywords/clutter-suppression","display_name":"clutter suppression","score":0.6430000066757202}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.75470370054245},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5603306293487549},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5566039085388184},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.549370527267456},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5389441251754761},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.48960667848587036},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4890056848526001},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.48713418841362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4586903750896454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4226686954498291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35653483867645264},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19306492805480957},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.14644140005111694},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14156246185302734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11289158463478088},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09315547347068787},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/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":3,"locations":[{"id":"doi:10.1109/topoinvis57755.2022.00011","doi":"https://doi.org/10.1109/topoinvis57755.2022.00011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/topoinvis57755.2022.00011","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 Topological Data Analysis and Visualization (TopoInVis)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2208.07148","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2208.07148","pdf_url":"https://arxiv.org/pdf/2208.07148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2208.07148","doi":"https://doi.org/10.48550/arxiv.2208.07148","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2208.07148","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2208.07148","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2208.07148","pdf_url":"https://arxiv.org/pdf/2208.07148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W430125058","https://openalex.org/W581389962","https://openalex.org/W1525008043","https://openalex.org/W1977010014","https://openalex.org/W1995627295","https://openalex.org/W2012583548","https://openalex.org/W2063364217","https://openalex.org/W2064020260","https://openalex.org/W2085145708","https://openalex.org/W2106031748","https://openalex.org/W2135919526","https://openalex.org/W2163727044","https://openalex.org/W2211505654","https://openalex.org/W2332608203","https://openalex.org/W2595691390","https://openalex.org/W2739051709","https://openalex.org/W2768769553","https://openalex.org/W2963082453","https://openalex.org/W2967771297","https://openalex.org/W3084385634","https://openalex.org/W3093392333","https://openalex.org/W3110677563","https://openalex.org/W4213378996","https://openalex.org/W4220800281","https://openalex.org/W4234555707","https://openalex.org/W4283756829","https://openalex.org/W6963463318"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W3182767856","https://openalex.org/W2354231916","https://openalex.org/W2162140574","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2378988399","https://openalex.org/W1983356840","https://openalex.org/W2121457398"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,86,116],"new":[3,101],"topological":[4,23,32],"connection":[5],"method":[6,38,65,103],"for":[7],"the":[8,17,22,31,35,45,49,55,62,69,72],"local":[9,36,63],"bilinear":[10,37,64],"computation":[11],"of":[12,34,48,59,71,80],"Jacobi":[13],"sets":[14],"that":[15,89],"improves":[16],"visual":[18],"representation":[19,88],"while":[20],"preserving":[21],"structure":[24,33],"and":[25,93,113],"geometric":[26],"configuration.":[27],"To":[28],"this":[29],"end,":[30],"is":[39,42,104],"utilized,":[40],"which":[41],"given":[43],"by":[44,68],"nerve":[46,56,73],"complex":[47,57],"traditional":[50],"piecewise":[51],"linear":[52],"method.":[53],"Since":[54],"consists":[58],"higher-dimensional":[60],"simplices,":[61],"(visually":[66],"represented":[67],"1-skeleton":[70],"complex)":[74],"leads":[75],"to":[76,96,106],"clutter":[77],"via":[78],"crossings":[79],"line":[81],"segments.":[82],"Therefore,":[83],"we":[84],"propose":[85],"homotopy-equivalent":[87],"uses":[90],"different":[91],"collapses":[92],"edge":[94],"contractions":[95],"remove":[97],"such":[98],"artifacts.":[99],"Our":[100],"connectivity":[102],"easy":[105],"implement,":[107],"comes":[108],"with":[109],"only":[110],"little":[111],"overhead,":[112],"results":[114],"in":[115],"less":[117],"cluttered":[118],"representation.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-08T09:06:37.294493","created_date":"2025-10-10T00:00:00"}