A survey on recent advances in the computation of asymptotes

DOI10.1007/S40863-024-00444-5MaRDI QIDQ6656186

R. Magdalena Benedicto, Sonia Pérez Díaz, M. A. Fernández de Sevilla

Publication date: 2 January 2025

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

asymptotesimplicit algebraic plane curveinfinity branchesperfect curvesapproaching curvesparametric plane curve

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Associative rings and algebras (16-XX)

Cites Work

• Asymptotes and perfect curves
• Asymptotes of space curves
• Parametrization of approximate algebraic curves by lines
• Approximate parametrization of plane algebraic curves by linear systems of curves
• Computing all parametric solutions for blending parametric surfaces
• Asymptotic behavior of an implicit algebraic plane curve
• Computing the asymptotes for a real plane algebraic curve
• Parametrization of approximate algebraic surfaces by lines
• Globally certified \(G^1\) approximation of planar algebraic curves
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