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| Título: | On the Implicit Equation of Conics and Quadrics Offsets |
| Fecha de publicación: | 28-jul-2021 |
| Editorial: | MDPI |
| Cita bibliográfica: | Mathematics |
| ISSN: | 2227-7390 |
| Palabras clave: | Offsets Conics and quadrics Implicit equations Discriminant |
| Resumen: | 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. |
| Autor/es principal/es: | Díaz Toca, Gema M. Caravantes, Jorge Fioravanti, Mario González Vega, Laureano |
| Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU::Ingeniería y Tecnología de Computadores |
| URI: | http://hdl.handle.net/10201/138186 |
| DOI: | https://doi.org/10.3390/math9151784 |
| Tipo de documento: | info:eu-repo/semantics/article |
| Número páginas / Extensión: | 19 |
| Derechos: | info:eu-repo/semantics/openAccess Atribución 4.0 Internacional |
| Descripción: | ©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 |
| Aparece en las colecciones: | Artículos: Ingeniería y Tecnología de Computadores |
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|---|---|---|---|---|
| mathematics-09-01784-v2.pdf | 1,95 MB | Adobe PDF |  Visualizar/Abrir |
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