A Scale-based Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising
 
A Scale-based Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising 
 
Yi Wang, Yi Wang, Ruiqing Niu, Ruiqing Niu, Liangpei Zhang, Liangpei Zhang, Ke Wu, Ke Wu, Hichem Sahli, Hichem Sahli
 
Abstract 

This work presents a scale-based forward-and-backward diffusion (SFABD) scheme. The main idea of this scheme is to perform local adaptive diffusion using local scale information. To this end, we propose a diffusivity function based on the Minimum Reliable Scale (MRS) of Elder and Zucker [1] to detect the details of local structures. The magnitude of the diffusion coefficient at each pixel is determined by taking into account the local property of the image through the scales. A scale-based variable weight is incorporated into the diffusivity function for balancing the forward and backward diffusion. Furthermore, as numerical scheme, we propose a modification of the Perona-Malik scheme [2] by incorporating edge orientations. The paper describes the main principles of our method and illustrates image enhancement results on a set of standard images as well as simulated medical images, together with qualitative and quantitative comparisons with a variety of anisotropic diffusion schemes.