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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.
Fuente: Mathematics, 2021, 9(15), 1784
Publisher: MDPI
Publication date: 01/07/2021
No. of pages: 19
Publication type: Article
DOI: 10.3390/math9151784
ISSN: 2227-7390
Spanish project: MTM2017-88796-P
Consult in UCrea Read publication
JORGE CARAVANTES TORTAJADA
DIAZ-TOCA, GEMA M.
MARIO ALFREDO FIORAVANTI VILLANUEVA
LAUREANO GONZALEZ VEGA
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