IEEE Trans Image Process. 1998;7(6):912-7. doi: 10.1109/83.679442.
In this correspondence, we present a new approach to two-dimensional (2-D) robust spline image smoothing based on the M-estimator algorithm. Unlike in other M-estimator based image processing algorithms, the new algorithm takes into consideration the spatial relations between picture elements. The contribution of the sample to the model depends not only on the current residual of that sample, but also on the neighboring residuals. A smoothing parameter is estimated separately for each processing window and it adapts to the local structure of the image. The proposed algorithm is applied to image filtering. The resulting filter preserves details and suppresses additive Gaussian and impulsive noise efficiently.
在这封信件中，我们提出了一种新的基于 M 估计器算法的二维（2-D）稳健样条图像平滑方法。与其他基于 M 估计器的图像处理算法不同，新算法考虑了像素之间的空间关系。样本对模型的贡献不仅取决于当前样本的残差，还取决于相邻样本的残差。为每个处理窗口单独估计一个平滑参数，并使其适应图像的局部结构。所提出的算法应用于图像滤波。得到的滤波器能够有效保留细节并抑制加性高斯和脉冲噪声。
