A Nonlinear Hybrid Diffusion Model for Image Denoising

被引：1

作者：

Alam, Khursheed ^{[1
]}

Kumar, Santosh ^{[1
]}

Kumar, Nitendra ^{[2
]}

Pandey, Shri Prakash ^{[3
]}

Pal, Surya Kant ^{[1
]}

机构：

[1] Sharda Univ, Sch Basic Sci & Res, Dept Math, Greater Noida 201306, Uttar Pradesh, India

[2] IIMT Coll Engn, Dept Math, Greater Noida 201306, Uttar Pradesh, India

[3] Teerthanker Mahaveer Univ, Fac Engn, Dept Phys, Moradabad 244001, India

来源：

MACROMOLECULAR SYMPOSIA | 2023年 / 407卷 / 01期

关键词：

diffusivity; image denoising; nonlinear diffusion equation; second-order PDEs; weak solution; EDGE-DETECTION;

D O I：

10.1002/masy.202100511

中图分类号：

O63 [高分子化学（高聚物）];

学科分类号：

070305 ; 080501 ; 081704 ;

摘要：

In this paper, a denoising technique is proposed based on a nonlinear anisotropic diffusion model with two diffusivities parameters, i.e., Charbonnier and total variation. These diffusivities are dependent on the diffusivity function for balancing. Furthermore, proof of the existence and uniqueness theorem of the model are presented. The convergent iterative scheme is proposed for the diffusion model. To discretize the diffusion model, the finite difference method with forward-backward diffusivities is used. The numerical results are given in terms of peak signal-to-noise ratio (PSNR) as a metric.

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页数：6

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