Spline quasi‐interpolation in the Bernstein basis and its application to digital elevation models

DOI10.1002/mma.8602MaRDI QIDQ6182166

Domingo Barrera, Francisco J. López, Unnamed Author, María José Ibáñez, Unnamed Author

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

DEMtensor productquasi-interpolationupscalingBernstein-Bézier coefficientsdownscalingaltimetric error

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interpolation in approximation theory (41A05)

Cites Work

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• An explicit quasi-interpolation scheme based on \(C^1\) quartic splines on type-1 triangulations
• Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations
• Spline approximation by quasiinterpolants
• A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation
• A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation
• Point and differential \(C^1\) quasi-interpolation on three direction meshes
• Cubic convolution interpolation for digital image processing

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