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.
Wang, Y, Niu, R, Zhang, L, Wu, K & Sahli, H 2011, 'A Scale-based Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising', EURASIP Journal on Advances in Signal Processing.
Wang, Y., Niu, R., Zhang, L., Wu, K., & Sahli, H. (2011). A Scale-based Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising. EURASIP Journal on Advances in Signal Processing.
@article{bf21d70825a349bab25771889dd59019,
title = "A Scale-based Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising",
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.",
keywords = "computer vision, PDE, denoising",
author = "Yi Wang and Ruiqing Niu and Liangpei Zhang and Ke Wu and Hichem Sahli",
year = "2011",
language = "English",
journal = "EURASIP Journal on Advances in Signal Processing",
issn = "1110-8657",
publisher = "Hindawi Publishing Corporation",
}