Inversion approximations for functions via \(s\)-power series

DOI10.1016/S0167-8396(01)00054-1zbMath0969.68160OpenAlexW2062413371MaRDI QIDQ5941489

Javier Sánchez-Reyes

Publication date: 20 August 2001

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(01)00054-1

zbMATH Keywords

\(s\)-power seriesarc-lengthHermite approximationinversion of polynomialsLegendre serieslemniscates

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (1)

A shape-preserving spline interpolation for sampling designs from inverse distributions

Uses Software

• Mathematica

Cites Work

• Improperly parametrized rational curves
• High accuracy geometric Hermite interpolation
• Hermite interpolation with B-splines
• Basis conversion among Bézier, Tchebyshev and Legendre
• Curve offsetting based on Legendre series
• Real rational curves are not `unit speed'
• General \(B\)-spline Hermite interpolation
• Algebraically rectifiable parametric curves
• The conformal map \(z\to z^ 2\) of the hodograph plane
• C-curves: An extension of cubic curves
• Helix splines as an example of affine Tchebycheffian splines
• Convergent inversion approximations for polynomials in Bernstein form
• Calculating Higher Derivatives of Inverses
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