Monotonicity-preserving image rational cubic spline for monotone data

DOI10.1016/j.amc.2012.09.007zbMath1309.65017OpenAlexW1974100200MaRDI QIDQ2018974

Muhammad Abbas, Ahmad Abd. Majid, Jamaludin Md. Ali

Publication date: 26 March 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.007

zbMATH Keywords

shape parametersshape preserving interpolationrational cubic functionmonotone datamonotonicity-preserving curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (17)

Approximate multi-degree reduction of Q-Bézier curves via generalized Bernstein polynomial functions ⋮ Shape preservingC²rational quartic interpolation spline with two parameters ⋮ \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ Cubic Hermite interpolation with minimal derivative oscillation ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ Shape preserving \(\alpha\)-fractal rational cubic splines ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Piecewise polynomial curves with normalized derivatives ⋮ \(C^2\) rational quartic interpolation spline with local shape preserving property ⋮ Unnamed Item ⋮ \(C^2\) rational quartic/cubic spline interpolant with shape constraints ⋮ Shape preserving rational cubic fractal interpolation function ⋮ \(C^2\) rational interpolation splines with region control and image interpolation application ⋮ The \(G^2\) and \(C^2\) rational quadratic trigonometric Bézier curve with two shape parameters with applications ⋮ Some inequalities for the maximum modulus of rational functions ⋮ An improved EMD method with modified envelope algorithm based on \(C^2\) piecewise rational cubic spline interpolation for EMI signal decomposition ⋮ Shape-preserving piecewise rational interpolation with higher order continuity

Cites Work

• \(C^{1}\) monotone cubic Hermite interpolant
• A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves
• Shape-Preserving C 2 Cubic Polynomial Interpolating Splines
• Shape-preserving \(C^2\) functional interpolation via parametric cubics
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Monotonicity-preserving image rational cubic spline for monotone data