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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2511.17232 |
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| _version_ | 1866917096911273984 |
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| author | Guo, Bing Qi, Wanfeng |
| author_facet | Guo, Bing Qi, Wanfeng |
| contents | We study the constructions of piecewise rational interpolation kernels that are supported on the interval $[-2,2]$, and present one novel rational cubic/linear and five quartic/linear interpolation kernels. All proposed kernels are symmetric, $C^1$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two kinds of parametric piecewise rational interpolation kernels for image magnification Guo, Bing Qi, Wanfeng Numerical Analysis 41A20 We study the constructions of piecewise rational interpolation kernels that are supported on the interval $[-2,2]$, and present one novel rational cubic/linear and five quartic/linear interpolation kernels. All proposed kernels are symmetric, $C^1$ 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. |
| title | Two kinds of parametric piecewise rational interpolation kernels for image magnification |
| topic | Numerical Analysis 41A20 |
| url | https://arxiv.org/abs/2511.17232 |