Two kinds of parametric piecewise rational interpolation kernels for image magnification
Numerical Analysis
2025-11-24 v1 Numerical Analysis
Abstract
We study the constructions of piecewise rational interpolation kernels that are supported on the interval , and present one novel rational cubic/linear and five quartic/linear interpolation kernels. All proposed kernels are symmetric, continuous, and possess certain degrees of approximation order. The proposed quartic/linear interpolation kernels include the cubic and the cubic/linear interpolation kernel as special cases. Our numerical results show that one of the quartic/linear interpolation kernels can outperform the cubic interpolation kernel in terms of PSNR, SSIM, and FSIM.
Cite
@article{arxiv.2511.17232,
title = {Two kinds of parametric piecewise rational interpolation kernels for image magnification},
author = {Bing Guo and Wanfeng Qi},
journal= {arXiv preprint arXiv:2511.17232},
year = {2025}
}