{"id":"https://openalex.org/W2884153722","doi":"https://doi.org/10.1007/978-3-319-96418-8_47","title":"polyTop: Software for Computing Topology of Smooth Real Surfaces","display_name":"polyTop: Software for Computing Topology of Smooth Real Surfaces","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2884153722","doi":"https://doi.org/10.1007/978-3-319-96418-8_47","mag":"2884153722"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-96418-8_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96418-8_47","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5110674477","display_name":"Danielle A. Brake","orcid":null},"institutions":[{"id":"https://openalex.org/I124727415","display_name":"University of Wisconsin\u2013Eau Claire","ror":"https://ror.org/03mnm0t94","country_code":"US","type":"education","lineage":["https://openalex.org/I124727415"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Danielle A. Brake","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin-Eau Claire, Eau Claire, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin-Eau Claire, Eau Claire, USA","institution_ids":["https://openalex.org/I124727415"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007214938","display_name":"Jonathan D. Hauenstein","orcid":"https://orcid.org/0000-0002-9252-8210"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan D. Hauenstein","raw_affiliation_strings":["Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091913896","display_name":"Margaret H. Regan","orcid":"https://orcid.org/0000-0003-0880-7768"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Margaret H. Regan","raw_affiliation_strings":["Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110674477"],"corresponding_institution_ids":["https://openalex.org/I124727415"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10726012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"397","last_page":"404"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.8368799090385437},{"id":"https://openalex.org/keywords/algebraic-topology","display_name":"Algebraic topology","score":0.6174383163452148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6132881045341492},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6112752556800842},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5653786659240723},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5645526647567749},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5314019918441772},{"id":"https://openalex.org/keywords/euler-characteristic","display_name":"Euler characteristic","score":0.5042282342910767},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.47682279348373413},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4397614598274231},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.41613471508026123},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4132731854915619},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39059752225875854},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3676877021789551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3339574635028839},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28033483028411865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24938547611236572},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21263891458511353},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1399942934513092},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1078241765499115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09546208381652832},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06688326597213745}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.8368799090385437},{"id":"https://openalex.org/C145054310","wikidata":"https://www.wikidata.org/wiki/Q212803","display_name":"Algebraic topology","level":3,"score":0.6174383163452148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6132881045341492},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6112752556800842},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5653786659240723},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5645526647567749},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5314019918441772},{"id":"https://openalex.org/C196433757","wikidata":"https://www.wikidata.org/wiki/Q852973","display_name":"Euler characteristic","level":2,"score":0.5042282342910767},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.47682279348373413},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4397614598274231},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.41613471508026123},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4132731854915619},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39059752225875854},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3676877021789551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3339574635028839},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28033483028411865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24938547611236572},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21263891458511353},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1399942934513092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1078241765499115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09546208381652832},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06688326597213745},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-96418-8_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96418-8_47","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W107886322","https://openalex.org/W129683836","https://openalex.org/W216244286","https://openalex.org/W293694841","https://openalex.org/W647818151","https://openalex.org/W1484996622","https://openalex.org/W1565212980","https://openalex.org/W2013758375","https://openalex.org/W2066012338","https://openalex.org/W2157878484","https://openalex.org/W2735656302","https://openalex.org/W2804077736","https://openalex.org/W2962955948","https://openalex.org/W3008244766","https://openalex.org/W3040586665","https://openalex.org/W4235641261"],"related_works":["https://openalex.org/W3153979038","https://openalex.org/W4319591071","https://openalex.org/W2070001083","https://openalex.org/W4309871294","https://openalex.org/W2963511174","https://openalex.org/W3192281373","https://openalex.org/W4298446668","https://openalex.org/W2623021320","https://openalex.org/W2998961566","https://openalex.org/W1975919924"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
