Hessian matrix-based fourth-order anisotropic diffusion filter for image denoising. (February 2019)

• Record Type: Journal Article
• Authors: Deng, Lizhen; Zhu, Hu; Yang, Zhen; Li, Yujie
• Is Part Of: Optics & laser technology. Volume 110(2019)
• Page Start: 184
• Page End: 190
• Publication Date: 2019-02
• Subjects: Anisotropic diffusion filter -- Eigenvalue -- Hessian matrix -- Denoising; Optics -- Periodicals; Lasers -- Periodicals; Electronic journals; 621.366
• DOI: 10.1016/j.optlastec.2018.08.043
• Languages: English
• ISSNs: 0030-3992

Abstract

Highlights: Hessian matrix and its eigenvalue are introduced for edge preservation. An anisotropic fourth-order diffusion model is proposed. The superiority of the proposed model is verified by experiments. Abstract: Image denoising is one of important tasks in image processing. Diffusion filter-based methods have been widely used for image denosing. In order to solve the staircase effect introduced by second-order diffusion filter, different fourth-order diffusion filters were proposed, which can achieve good performance on image denoising. However, fourth-order diffusion filter often suffers over-smoothness. In this paper, we propose an anisotropic fourth-order diffusion filter for astronomical image denoising, in which the eigenvalue of Hessian matrix is introduced for preserving edge information. The experimental results of denoising on several astronomical images show that the proposed method can achieve better performance than several other methods.