论文标题
基于小波框架的图像恢复的近似理论
Approximation Theory of Wavelet Frame Based Image Restoration
论文作者
论文摘要
在本文中，我们分析了从降解和不完整测量的基于小波框架的图像恢复方法的误差估计。我们介绍了基础原始离散图像与具有最小$ \ ell_1 $ - norm的近似原始离散图之间的误差，这些解决方案在所有可能的解决方案中的规范小波框架系数。然后，我们进一步将离散模型的误差估计与近似值连接到基础图像来自的基础函数。
In this paper, we analyze the error estimate of a wavelet frame based image restoration method from degraded and incomplete measurements. We present the error between the underlying original discrete image and the approximate solution which has the minimal $\ell_1$-norm of the canonical wavelet frame coefficients among all possible solutions. Then we further connect the error estimate for the discrete model to the approximation to the underlying function from which the underlying image comes.
