Convexity-preserving scattered data interpolation scheme using side-vertex method

DOI10.1007/s40819-019-0636-9zbMath1492.65034OpenAlexW2943506974WikidataQ127957535 ScholiaQ127957535MaRDI QIDQ2001751

Malik Zawwar Hussain, Iqra Saeed, Maria Hussain

Publication date: 11 July 2019

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-019-0636-9

zbMATH Keywords

scattered dataconvexity preservationrational side-vertex interpolant

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Cites Work

• Positivity-preserving scattered data interpolation scheme using the side-vertex method
• Convexity preserving splines over triangulations
• Convexity preserving scattered data interpolation using Powell-Sabin elements
• The conditions of convexity for Bernstein-Bézier surfaces over triangles
• The convexity of Bernstein polynomials over triangles
• Positivity-preserving interpolation of positive data by rational cubics
• Convexity preserving interpolation and Powell-Sabin elements
• The side-vertex method for interpolation in triangles
• Convexity preserving interpolation
• Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines
• \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree
• Preserving convexity through rational cubic spline fractal interpolation function
• Spline Functions on Triangulations
• C¹ Convexity-Preserving Interpolation of Scattered Data

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