{"id":"https://openalex.org/W41290553","doi":"https://doi.org/10.1007/978-3-540-24698-5_21","title":"A Geometric Approach to the Bisection Method","display_name":"A Geometric Approach to the Bisection Method","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W41290553","doi":"https://doi.org/10.1007/978-3-540-24698-5_21","mag":"41290553"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24698-5_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24698-5_21","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/A5041698136","display_name":"Claudio Guti\u00e9rrez","orcid":"https://orcid.org/0000-0002-4559-6544"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Claudio Gutierrez","raw_affiliation_strings":["Department of Computer Science, Universidad de Chile, Blanco Encalada, 2120, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universidad de Chile, Blanco Encalada, 2120, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025917444","display_name":"Flavio Gutierrez","orcid":null},"institutions":[{"id":"https://openalex.org/I79274474","display_name":"University of Valpara\u00edso","ror":"https://ror.org/00h9jrb69","country_code":"CL","type":"education","lineage":["https://openalex.org/I79274474"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Flavio Gutierrez","raw_affiliation_strings":["Universidad de Valpara\u00edso, Valpara\u00edso, Chile"],"affiliations":[{"raw_affiliation_string":"Universidad de Valpara\u00edso, Valpara\u00edso, Chile","institution_ids":["https://openalex.org/I79274474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113630279","display_name":"Ma\u0155\u0131a-Cecilia Rivara","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Maria-Cecilia Rivara","raw_affiliation_strings":["Department of Computer Science, Universidad de Chile, Blanco Encalada, 2120, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universidad de Chile, Blanco Encalada, 2120, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041698136"],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01103753,"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":"172","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.3037000000476837,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.3037000000476837,"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":0.17890000343322754,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.04410000145435333,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/bisection","display_name":"Bisection","score":0.9586248397827148},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.9180116653442383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5686326622962952},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5649331212043762},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.431901216506958},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.426556259393692},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.41184020042419434},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41104644536972046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.377913236618042},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.211654931306839},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1721723973751068},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08704757690429688},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.06274300813674927}],"concepts":[{"id":"https://openalex.org/C31599958","wikidata":"https://www.wikidata.org/wiki/Q3128632","display_name":"Bisection","level":2,"score":0.9586248397827148},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.9180116653442383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5686326622962952},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5649331212043762},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.431901216506958},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.426556259393692},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.41184020042419434},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41104644536972046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.377913236618042},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.211654931306839},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1721723973751068},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08704757690429688},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.06274300813674927}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-24698-5_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24698-5_21","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1849185781","https://openalex.org/W2007383412","https://openalex.org/W2013397847","https://openalex.org/W2017474342","https://openalex.org/W2031443142","https://openalex.org/W2053927628","https://openalex.org/W2081357081","https://openalex.org/W2137568470","https://openalex.org/W4205295188","https://openalex.org/W4236396403"],"related_works":["https://openalex.org/W2329494729","https://openalex.org/W41290553","https://openalex.org/W3112697985","https://openalex.org/W2585516632","https://openalex.org/W1986919722","https://openalex.org/W2093663313","https://openalex.org/W4296983618","https://openalex.org/W2158390333","https://openalex.org/W40332083","https://openalex.org/W2577097539"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
