{"id":"https://openalex.org/W1999862614","doi":"https://doi.org/10.1145/2631948.2631970","title":"Isotopic epsilon-meshing of real algebraic space curves","display_name":"Isotopic epsilon-meshing of real algebraic space curves","publication_year":2014,"publication_date":"2014-07-11","ids":{"openalex":"https://openalex.org/W1999862614","doi":"https://doi.org/10.1145/2631948.2631970","mag":"1999862614"},"language":"en","primary_location":{"id":"doi:10.1145/2631948.2631970","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2631948.2631970","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2014 Symposium on Symbolic-Numeric Computation","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/A5039155755","display_name":"Kai Jin","orcid":"https://orcid.org/0000-0002-6800-4871"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Jin","raw_affiliation_strings":["Institute of Systems Science, AMSS, Chinese Academy of Sciences","Institute of Systems Science, AMSS, Chinese Academy of Sciences#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, AMSS, Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Institute of Systems Science, AMSS, Chinese Academy of Sciences#TAB#","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028189959","display_name":"Jin-San Cheng","orcid":"https://orcid.org/0000-0003-1581-9214"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin-San Cheng","raw_affiliation_strings":["Institute of Systems Science, AMSS, Chinese Academy of Sciences","Institute of Systems Science, AMSS, Chinese Academy of Sciences#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, AMSS, Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Institute of Systems Science, AMSS, Chinese Academy of Sciences#TAB#","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039155755"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":1.2615,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77659495,"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":"118","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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":0.9821000099182129,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5883305072784424},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5666214227676392},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5541031360626221},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5255086421966553},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5207707285881042},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.5049880146980286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4810631275177002},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4539563059806824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44422900676727295},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.42435842752456665},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2983110547065735},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1763439178466797},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16166594624519348}],"concepts":[{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5883305072784424},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5666214227676392},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5541031360626221},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5255086421966553},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5207707285881042},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.5049880146980286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4810631275177002},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4539563059806824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44422900676727295},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.42435842752456665},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2983110547065735},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1763439178466797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16166594624519348},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2631948.2631970","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2631948.2631970","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2014 Symposium on Symbolic-Numeric Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1722107769","display_name":null,"funder_award_id":"11001258, 60821002, 11371356","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W35137244","https://openalex.org/W119264142","https://openalex.org/W575078097","https://openalex.org/W1459101322","https://openalex.org/W1507872748","https://openalex.org/W1531393591","https://openalex.org/W1828410341","https://openalex.org/W1964167746","https://openalex.org/W1966047467","https://openalex.org/W1970784436","https://openalex.org/W1983469327","https://openalex.org/W1986084578","https://openalex.org/W1991344970","https://openalex.org/W2020611471","https://openalex.org/W2021407007","https://openalex.org/W2025731534","https://openalex.org/W2025941018","https://openalex.org/W2026082049","https://openalex.org/W2027411255","https://openalex.org/W2031738947","https://openalex.org/W2035257781","https://openalex.org/W2041908466","https://openalex.org/W2042650700","https://openalex.org/W2043775053","https://openalex.org/W2047906192","https://openalex.org/W2049914836","https://openalex.org/W2054255883","https://openalex.org/W2075500668","https://openalex.org/W2080645379","https://openalex.org/W2092792105","https://openalex.org/W2109644970","https://openalex.org/W2116319659","https://openalex.org/W2120694921","https://openalex.org/W2131327682","https://openalex.org/W2141553359","https://openalex.org/W2146388763","https://openalex.org/W2147353147","https://openalex.org/W2160369473","https://openalex.org/W2162082792"],"related_works":["https://openalex.org/W2351452215","https://openalex.org/W2617963432","https://openalex.org/W3202199134","https://openalex.org/W1574341164","https://openalex.org/W2985646180","https://openalex.org/W2506951661","https://openalex.org/W1895124089","https://openalex.org/W4390784559","https://openalex.org/W4392464916","https://openalex.org/W4367365647"],"abstract_inverted_index":{"Based":[0],"on":[1,9],"an":[2,27,87],"efficient":[3,49],"generic":[4],"position":[5],"checking":[6],"method":[7,11,34],"and":[8],"a":[10,19,40],"to":[12,22,32],"solve":[13],"bivariate":[14],"polynomial":[15],"systems,":[16],"we":[17,94],"give":[18,86],"new":[20,46,82],"algorithm":[21,47],"compute":[23],"the":[24,33,37,45,56,59,81,90,102,105],"topology":[25],"of":[26,51,58,89,104],"algebraic":[28],"space":[29,91],"curve.":[30],"Compared":[31],"presented":[35],"by":[36],"authors,":[38],"in":[39,64,80],"joint":[41],"work":[42],"with":[43],"Lazard,":[44],"is":[48,55,66,70,74],"because":[50],"two":[52],"reasons.":[53],"One":[54],"bitsize":[57],"coefficients":[60],"that":[61,71],"may":[62],"appear":[63],"projections":[65],"improved.":[67],"The":[68],"other":[69],"one":[72],"projection":[73],"enough":[75],"for":[76],"most":[77],"general":[78],"case":[79],"algorithm.":[83,106],"We":[84],"also":[85],"\u03b5-meshing":[88],"curve":[92],"after":[93],"obtain":[95],"its":[96],"topology.":[97],"Many":[98],"nontrivial":[99],"experiments":[100],"show":[101],"efficiency":[103]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}