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dc.contributor.authorBizzarri, Michal
dc.contributor.authorLávička, Miroslav
dc.contributor.authorVršek, Jan
dc.date.accessioned2019-11-25T11:00:17Z-
dc.date.available2019-11-25T11:00:17Z-
dc.date.issued2019
dc.identifier.citationBIZZARRI, M., LÁVIČKA, M., VRŠEK, J. Approximate Reconstructions of Perturbed Rational Planar Cubics. In: Advanced Methods for Geometric Modeling and Numerical Simulation. Cham: Springer,, 2019. s. 23-41. ISBN 978-3-030-27330-9 , ISSN 2281-518X.en
dc.identifier.isbn978-3-030-27330-9
dc.identifier.issn2281-518X
dc.identifier.uri2-s2.0-85073156042
dc.identifier.urihttp://hdl.handle.net/11025/35970
dc.format9 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherSpringeren
dc.relation.ispartofseriesAdvanced Methods for Geometric Modeling and Numerical Simulationen
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© Springeren
dc.titleApproximate Reconstructions of Perturbed Rational Planar Cubicsen
dc.typepostprintcs
dc.typepostprinten
dc.rights.accessrestrictedAccessen
dc.type.versionacceptedVersionen
dc.description.abstract-translatedThis paper is devoted to a problem from geometric modelling and related applications when exact symbolic computations are sometimes used also on objects given inexactly, i.e., when it is not adequately respected that numerical or input errors may significantly influence fundamental properties of considered algebraic varieties, including e.g. their rationality. We formulate a simple algorithm for an approximation of a non-rational planar cubic which is assumed to be a perturbation of some unknown rational planar cubic. The input curve is given by a perturbed polynomial or by perturbed points sampled from the original curve. The algorithm consists of two main parts. First, we suggest geometric methods for the estimation of a singular point of the original curve. Then we select from the six-dimensional subspace of all rational cubics with a given singular point a suitable one that may also satisfy some further criteria. The designed method is presented on several commented examples.en
dc.subject.translatedApproximate reconstructionsen
dc.subject.translatedperturbed algebraic curvesen
dc.subject.translatedalgorithmen
dc.identifier.doi10.1007/978-3-030-27331-6_2
dc.type.statusPeer-revieweden
dc.identifier.obd43926844
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
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