Positivity-preserving rational bi-cubic spline interpolation for 3D positive data

DOI10.1016/j.amc.2014.02.031zbMath1298.65021OpenAlexW1967239665MaRDI QIDQ470813

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

Publication date: 13 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.031

zbMATH Keywords

shape parametersdata visualizationpositivity-preserving surfaceshape preserving bi-cubic interpolation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Approximation with constraints (41A29)

Related Items (11)

Approximate multi-degree reduction of Q-Bézier curves via generalized Bernstein polynomial functions ⋮ A bivariate rational cubic interpolating spline with biquadratic denominator ⋮ A class of \(C^1\) rational interpolation splines in one and two dimensions with region control ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ \(C^2\) positivity-preserving rational interpolation splines in one and two dimensions ⋮ A new class of rational cubic spline fractal interpolation function and its constrained aspects ⋮ \(C^2\) rational interpolation splines with region control and image interpolation application ⋮ Some inequalities for the maximum modulus of rational functions ⋮ A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Positivity preserving interpolation using rational bicubic spline

Cites Work

• Positivity-preserving interpolation of positive data by rational cubics
• Positive data modeling using spline function
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