Publication:
On the Implicit Equation of Conics and Quadrics Offsets

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dc.contributor.authorDíaz Toca, Gema M.
dc.contributor.authorCaravantes, Jorge
dc.contributor.authorFioravanti, Mario
dc.contributor.authorGonzález Vega, Laureano
dc.contributor.departmentIngeniería y Tecnología de Computadores
dc.date.accessioned2024-01-30T17:31:42Z
dc.date.available2024-01-30T17:31:42Z
dc.date.issued2021-07-28
dc.description©2021. This manuscript version is made available under the CC-BY 4.0 license http://creativecommons.org/licenses/by /4.0/ This document is the Published, version of a Published Work that appeared in final form in Mathematics. To access the final edited and published work see https://doi.org/10.3390/math9151784es
dc.description.abstractA new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with geometric queries about offsets such as point positioning or solving intersection purposes. It is based on several classical results in “A Treatise on the Analytic Geometry of Three Dimensions” by G. Salmon for offsets to non-degenerate conics and central quadrics.es
dc.formatapplication/pdfes
dc.format.extent19es
dc.identifier.citationMathematics
dc.identifier.doihttps://doi.org/10.3390/math9151784
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10201/138186
dc.languageenges
dc.publisherMDPIes
dc.relationThis research was funded by the Spanish Ministerio de Economía y Competitividad and by the European Regional Development Fund (ERDF), under the project MTM2017-88796-P.es
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectOffsetses
dc.subjectConics and quadricses
dc.subjectImplicit equationses
dc.subjectDiscriminantes
dc.titleOn the Implicit Equation of Conics and Quadrics Offsetses
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
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