{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T11:04:57Z","timestamp":1760439897155},"reference-count":22,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4095,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Geometry"],"published-print":{"date-parts":[[2002,5]]},"DOI":"10.1016\/s0925-7721(01)00050-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T10:02:47Z","timestamp":1027591367000},"page":"119-142","source":"Crossref","is-referenced-by-count":16,"title":["Algebraic methods and arithmetic filtering for exact predicates on circle arcs"],"prefix":"10.1016","volume":"22","author":[{"given":"Olivier","family":"Devillers","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexandra","family":"Fronville","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernard","family":"Mourrain","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Monique","family":"Teillaud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0925-7721(01)00050-5_BIB001","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1006\/jsco.1999.0304","article-title":"Generalized resultant over unirational algebraic varieties","volume":"29","author":"Bus\u00e9","year":"2000","journal-title":"J. Symbolic Comput."},{"key":"10.1016\/S0925-7721(01)00050-5_BIB002","series-title":"Robust plane sweep for intersecting segments, Research Report 3270","author":"Boissonnat","year":"1997"},{"issue":"5","key":"10.1016\/S0925-7721(01)00050-5_BIB003","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1137\/S0097539797329373","article-title":"Robust plane sweep for intersecting segments","volume":"29","author":"Boissonnat","year":"2000","journal-title":"SIAM J. Comput."},{"key":"10.1016\/S0925-7721(01)00050-5_BIB004","series-title":"Proc. 15th Annual ACM Symp. Comput. Geom.","first-page":"370","article-title":"Efficient algorithms for line and curve segment intersection using restricted predicates","author":"Boissonnat","year":"1999"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB005","series-title":"Proc. 12th Canadian Conference on Computational Geometry","article-title":"Elementary algorithms for reporting intersections of curve segments","author":"Boissonnat","year":"2000"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB006","unstructured":"The CGAL Reference Manual, 1999. Release 2.0"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB007","first-page":"39","article-title":"Quelques aspects de la th\u00e9orie des invariants","volume":"43","author":"Dixmier","year":"1990","journal-title":"Gazette des math\u00e9matiques"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB008","series-title":"Some applications of Bezoutians in effective algebraic geometry, Rapport de Recherche 3572","author":"Elkadi","year":"1998"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB009","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1006\/jsco.1998.0266","article-title":"Matrices in elimination theory","volume":"28","author":"Emiris","year":"1999","journal-title":"J. Symbolic Comput."},{"key":"10.1016\/S0925-7721(01)00050-5_BIB010","series-title":"Proc. 16th Annual ACM Symp. Comput. Geom.","first-page":"156","article-title":"LOOK: A lazy object-oriented kernel for geometric computation","author":"Funke","year":"2000"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB011","series-title":"Algorithms for Computer Algebra","author":"Geddes","year":"1992"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB012","series-title":"ANSI\/IEEE Std 754-1985, New York","year":"1985"},{"issue":"1","key":"10.1016\/S0925-7721(01)00050-5_BIB013","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1090\/S0273-0979-1984-15188-7","article-title":"The invariant theory of binary forms","volume":"10","author":"Kung","year":"1984","journal-title":"Bulletin (New Series) of the American Mathematical Society"},{"issue":"3","key":"10.1016\/S0925-7721(01)00050-5_BIB014","doi-asserted-by":"crossref","first-page":"864","DOI":"10.1137\/S0097539796305365","article-title":"Robust proximity queries: An illustration of degree-driven algorithm design","volume":"28","author":"Liotta","year":"1999","journal-title":"SIAM J. Comput."},{"key":"10.1016\/S0925-7721(01)00050-5_BIB015","series-title":"IMACS SC'93, Lille (France)","first-page":"89","article-title":"The Hilbert series of invariants of Sln","author":"Mourrain","year":"1993"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB016","series-title":"History of Determinants","author":"Muir","year":"1960"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB017","series-title":"De la g\u00e9om\u00e9trie algorithmique au calcul g\u00e9om\u00e9trique, Th\u00e8se de Doctorat en Sciences","author":"Pion","year":"1999"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB018","series-title":"Workshop on Applications of Interval Analysis to Systems and Control","first-page":"99","article-title":"Interval arithmetic: An efficient implementation and an application to computational geometry","author":"Pion","year":"1999"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB019","series-title":"Algorithms in Invariants Theory","author":"Sturmfels","year":"1993"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB020","series-title":"Theory of Equations","author":"Uspensky","year":"1948"},{"key":"10.1016\/S0925-7721(01)00050-5_BIB021","series-title":"The Classical Groups, their Invariants and Representations","author":"Weyl","year":"1939"},{"issue":"1","key":"10.1016\/S0925-7721(01)00050-5_BIB022","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0925-7721(95)00040-2","article-title":"Towards exact geometric computation","volume":"7","author":"Yap","year":"1997","journal-title":"Computational Geometry Theory and Applications"}],"container-title":["Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925772101000505?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925772101000505?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T15:26:57Z","timestamp":1556465217000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925772101000505"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,5]]},"references-count":22,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2002,5]]}},"alternative-id":["S0925772101000505"],"URL":"https:\/\/doi.org\/10.1016\/s0925-7721(01)00050-5","relation":{},"ISSN":["0925-7721"],"issn-type":[{"value":"0925-7721","type":"print"}],"subject":[],"published":{"date-parts":[[2002,5]]}}}