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.

引用

下载

页数：6

共 50 条

[1] Hybrid Lattice Boltzmann Model for Nonlinear Diffusion and Image Denoising
Ilyin, Oleg
MATHEMATICS, 2023, 11 (22)
[2] Image Denoising via Nonlinear Hybrid Diffusion
Ji, Xiaoping
Zhang, Dazhi
Guo, Zhichang
Wu, Boying
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[3] Nonlinear Diffusion Model for Fabric Image Denoising
Chen, Dali
Xue, Dingyu
Chen, Yangquan
ADVANCES IN TEXTILE ENGINEERING AND MATERIALS, 2013, 627 : 484 - +
[4] Fractional derivative based nonlinear diffusion model for image denoising
Kumar S.
Alam K.
Chauhan A.
SeMA Journal, 2022, 79 (2) : 355 - 364
[5] Finite element analysis and application for a nonlinear diffusion model in image denoising
Li, JC
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2002, 18 (05) : 649 - 662
[6] New numerical algorithms for the nonlinear diffusion model of image denoising and segmentation
Liu, Zhaoxia
Guo, Boling
APPLIED MATHEMATICS AND COMPUTATION, 2006, 178 (02) : 380 - 389
[7] New numerical algorithms for the nonlinear diffusion model of image denoising and segmentation
School of Mathematics and Computer Science, Central University for Nationalities, Beijing, 100081, China
不详
Appl Math Comput (New York), 2006, 2 (380-389):
[8] Image denoising and segmentation via nonlinear diffusion
Chen, YM
Vemuri, BC
Wang, L
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (5-6) : 131 - 149
[9] Image denoising by nonlinear nonlocal diffusion equations
Shi, Kehan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 395
[10] Nonlinear Fourth-Order Diffusion-Based Model for Image Denoising
Barbu, Tudor
SOFT COMPUTING APPLICATIONS, SOFA 2016, VOL 1, 2018, 633 : 423 - 429

← 1 2 3 4 5 →