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Classification of the relative positions between a small ellipsoid and an elliptic paraboloid

dc.contributor.authorBrozos-Vázquez, Miguel
dc.contributor.authorPereira Sáez, María José
dc.contributor.authorSouto Salorio, María José
dc.contributor.authorTarrío-Tobar, Ana D.
dc.date.accessioned2023-12-14T17:43:28Z
dc.date.available2023-12-14T17:43:28Z
dc.date.issued2019-06
dc.identifier.citationBrozos-Vázquez, M., Pereira-Sáez, M. J., Souto-Salorio, M. J., & Tarrío-Tobar, A. D. (2019). Classification of the relative positions between a small ellipsoid and an elliptic paraboloid. Computer Aided Geometric Design, 72, 34–48. doi:10.1016/j.cagd.2019.05.002es_ES
dc.identifier.issn0167-8396
dc.identifier.urihttp://hdl.handle.net/2183/34506
dc.description©2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. This version of the article Brozos-Vázquez, M., Pereira-Sáez, M. J., Souto-Salorio, M. J., & Tarrío-Tobar, A. D. (2019). “Classification of the relative positions between a small ellipsoid and an elliptic paraboloid” has been accepted for publication in Computer Aided Geometric Design, 72, 34–48. The Version of Record is available online at https://doi.org/10.1016/j.cagd.2019.05.002.es_ES
dc.description.abstract[Abstract]: We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid (small meaning that the two surfaces cannot be tangent at two points simultaneously when one is moved with respect to the other). This provides an easy way to detect contact between the two surfaces by a direct analysis of the coefficients of a fourth degree polynomial.es_ES
dc.description.sponsorshipThe authors wish to thank the referees for extremely valuable comments and suggestions, which were essential to improve the final version of the paper. Supported by Projects ED431F 2017/03, TIN2017-85160-C2-1-R, MTM2016-75897-P and MTM2016-78647-P (AEI/FEDER, UE).es_ES
dc.description.sponsorshipXunta de Galicia; ED431F 2017/03es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relationinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-85160-C2-1-R/ES/AVANCES EN NUEVOS SISTEMAS DE EXTRACCION DE RESPUESTAS CON ANALISIS SEMANTICO Y APRENDIZAJE PROFUNDO/es_ES
dc.relationinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75897-P/ES/SIMETRIA, CURVATURA Y ECUACIONES DIFERENCIALES EN GEOMETRIAes_ES
dc.relationinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-78647-P/ES/ESTRUCTURAS SUPERIORES EN GEOMETRIA DIFERENCIAL Y TEORIA DE HOMOTOPIAes_ES
dc.relation.isversionofhttps://doi.org/10.1016/j.cagd.2019.05.002
dc.relation.urihttps://doi.org/10.1016/j.cagd.2019.05.002es_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationales_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectQuadrices_ES
dc.subjectElliptic paraboloides_ES
dc.subjectEllipsoides_ES
dc.subjectRelative positiones_ES
dc.subjectContact detectiones_ES
dc.subjectCharacteristic polynomiales_ES
dc.titleClassification of the relative positions between a small ellipsoid and an elliptic paraboloides_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessinfo:eu-repo/semantics/openAccesses_ES
UDC.journalTitleComputer Aided Geometric Designes_ES
UDC.volume72es_ES
UDC.startPage34es_ES
UDC.endPage48es_ES
dc.identifier.doi10.1016/j.cagd.2019.05.002


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