Fast Edge Preserving 2D Smoothing Filter Using Indicator Function

Abstract

Edge-preserving smoothing filter smoothes the textures while preserving the information of sharp edges. In image processing, this kind of filter is used as a fundamental process of many applications. In this paper, we propose a new approach for edge-preserving smoothing filter. Our method uses 2D local filter to smooth images and we apply indicator function to restrict the range of filtered pixels for edge-preserving. To define the indicator function, we recalculate the distance between each pixel by using edge information. The nearby pixels in the new domain are used for smoothing. Since our method constrains the pixels used for filtering, its running time is quite fast. We demonstrate the usefulness of our new edge-preserving smoothing method for some applications.

Adaptive Bilateral Texture Filter for Image Smoothing

“…In our evaluation, we also take the Feature Similarity index (FSIM) (Zhang et al, 2011) and Blind Image Spatial Quality Evaluator (BRISQUE) (Chen et al, 2018) as the evaluation indexes. We selected four ground truth images in Dong et al (2015), Abiko andIkehara (2019), andShen et al (2015), and then added salt and pepper noise along with periodic noise to these four images as the texture images, as shown in Figure 8, using ground truth images as the reference to calculate PSNR, SSIM, and FSIM. In contrast, the BRISQUE is obtained only by the filtered result.…”