Local shape of generalized offsets to algebraic curves

DOI10.1016/j.jsc.2011.12.001zbMath1236.14051OpenAlexW2084147012MaRDI QIDQ765863

Juan Gerardo Alcázar

Publication date: 22 March 2012

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.12.001

zbMATH Keywords

offsetsgeneralized offsetslocal shapeoffset topology

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17) Computational aspects in algebraic geometry (14Q99)

Related Items (1)

A new method to compute the singularities of offsets to rational plane curves

Cites Work

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• Good local behavior of offsets to implicit algebraic curves
• Algebraic properties of plane offset curves
• Good global behavior of offsets to plane algebraic curves
• Good local behavior of offsets to rational regular algebraic surfaces
• A Laguerre geometric approach to rational offsets
• Genus formula for generalized offset curves
• Parametric generalized offsets to hypersurfaces
• Algebraic analysis of offsets to hypersurfaces
• Local shape of offsets to algebraic curves
• Analytic properties of plane offset curves
• Rationality analysis and direct parametrization of generalized offsets to quadrics.

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