Publication: On the Implicit Equation of Conics and Quadrics Offsets
Authors
Díaz Toca, Gema M. ; Caravantes, Jorge ; Fioravanti, Mario ; González Vega, Laureano
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Publisher
MDPI
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DOI
https://doi.org/10.3390/math9151784
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info:eu-repo/semantics/article
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/math9151784
Abstract
A 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.
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Citation
Mathematics
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