A simple edge-preserving filtering technique for constructing multi-resolution systems of images1
We propose a simple edge-preserving filtering technique for constructing multi-resolution systems of images. The mask function of our filter is defined to be the product of a Gaussian function and the inverse function of the absolute value of the differences between neighboring pixels. The Gaussian function accounts for the spatial correlation of the pixels, while the inverse function is used to preserve the edge features in the image. In order to obtain reliable difference values, the image is pre-filtered before the construction of the filter mask. Our filtering method has been shown to have better edge-preserving and noise-removal ability than other three kinds of filters. Furthermore, since it is not an iterative process, the filtering can be processed very fast.
edge-preserving filtering multi-resolution systems spatial correlation of images