Compression using Quasi-Interpolation
Numerical Analysis
2024-07-09 v1 Numerical Analysis
Abstract
We consider quasi-interpolation with a main application in radial basis function approximations and compression in this article. Constructing and using these quasi-interpolants, we consider wavelet and compression-type approximations from their linear spaces and provide convergence estimates. The results include an error estimate for nonlinear approximation by quasi-interpolation, results about compression in the space of continuous functions and a pointwise convergence estimate for approximands of low smoothness.
Cite
@article{arxiv.2407.05772,
title = {Compression using Quasi-Interpolation},
author = {Martin Buhmann and Feng Dai},
journal= {arXiv preprint arXiv:2407.05772},
year = {2024}
}