Title
A Gray Level Indicator-Based Regularized Telegraph Diffusion Model: Application to Image Despeckling
Abstract
In this work, a gray level indicator-based nonlinear telegraph diffusion model is presented for image despeckling. Most of the researchers focus only on diffusion equation-based filter for multiplicative noise removal process. The proposed technique uses the benefit of the combined effect of diffusion equation as well as the wave equation. The wave nature of the system preserves the high oscillatory and texture patterns in an image. In this model, the diffusion coefficient depends not only on the image gradient but also on the gray level of the image, which controls the diffusion process better than only gradient-based diffusion approaches. Moreover, we prove the well-posedness of the present system using the Schauder fixed point theorem. Furthermore, we show the superiority of the proposed method over three recently developed methods on a set of gray level test images corrupted by speckle noise and check the noise removal capability of the present technique over some real SAR images corrupted by speckle noise with different noise levels.
Year
DOI
Venue
2020
10.1137/19M1283033
SIAM JOURNAL ON IMAGING SCIENCES
Keywords
DocType
Volume
speckle noise,nonlinear diffusion,telegraph diffusion equation,gray level indicator,weak solution,Schauder fixed point theorem,despeckling
Journal
13
Issue
ISSN
Citations 
2
1936-4954
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Sudeb Majee101.01
Rajendra K. Ray285.17
Ananta K. Majee301.01