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Offsets to conics and quadrics: a new determinantal representation for their implicit equation

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dc.contributor.authorCaravantes, Jorge
dc.contributor.authorFioravanti, Mario
dc.contributor.authorGonzález-Vega, Laureano
dc.contributor.authorDíaz-Toca, Gema
dc.date.accessioned2023-06-17T13:21:14Z
dc.date.available2023-06-17T13:21:14Z
dc.date.issued2019-02-16
dc.description"© ACM, 2019. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM COMMUNICATIONS IN COMPUTER ALGEBRA, {VOL. 52, ISS. 3, (SEPTEMBER 2018)} http://doi.acm.org/10.1145/3313880.3313890"
dc.description.abstractA new determinantal presentation of the implicit equation for offsets to non degenerate conics and quadrics is introduced which is specially well suited for intersection purposes.
dc.description.departmentSección Deptal. de Sistemas Informáticos y Computación
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/54887
dc.identifier.doi10.1145/3313880.3313890
dc.identifier.issn1932-2232
dc.identifier.officialurlhttps://www.acm.org/
dc.identifier.relatedurlhttps://www.acm.org/publications
dc.identifier.urihttps://hdl.handle.net/20.500.14352/13205
dc.issue.number3
dc.journal.titleACM Communications in Computer Algebra
dc.language.isoeng
dc.page.final88
dc.page.initial85
dc.publisherAssociation for Computing Machinery (ACM)
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordOffset curves
dc.subject.keywordoffset surfaces
dc.subject.keywordnon degenerate conics
dc.subject.keywordnon degenerate quadrics
dc.subject.keywordimplicit equation
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleOffsets to conics and quadrics: a new determinantal representation for their implicit equation
dc.typejournal article
dc.volume.number52
dcterms.references1 F. Anton, I. Emiris, B. Mourrain and M. Teillaud. The offset to an algebraic curve and an application to conics. In Proceedings of the 2005 International Conference on Computational Science and Its Applications - Volume Part I, ICCSA'05, pages 683-696, Berlin, Heidelberg, 2005. Springer-Verlag. 2 R. T. Farouki and J. Srinathu. A real-time CNC interpolator algorithm for trimming and filling planar offset curves. Computer-Aided Design, 86:1-11, 2017. 3 R. T. Farouki and C. A. Neff. Algebraic properties of plane offset curves. Computer Aided Geometric Design, 7:101-127, 1990. 4 T. Maekawa. An overview to offset curves and surfaces. Computer-Aided Design, 31:165-173, 1999. 5 W. Wang, J. Wang and M.-S. Kim. An algebraic condition for the separation of two ellipsoids. Computer Aided Geometric Design 18:531-539, 2001.
dspace.entity.typePublication

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