English

Well-posedness study of a non-linear hyperbolic-parabolic coupled system applied to image speckle reduction

Analysis of PDEs 2019-08-14 v2 Numerical Analysis Numerical Analysis

Abstract

In this article, we consider a non-linear hyperbolic-parabolic coupled system based on telegraph diffusion framework applied to image despeckling. A separate equation is used to calculate the edge variable, which improves the quality of the despeckled images. A well-posedness result of the proposed coupled system is settled via Schauder's fixed point theorem. Numerical experiments are reported to illustrate the effectiveness of the proposed model, with recently developed models, over a set of gray level test images contaminated by speckle noise.

Keywords

Cite

@article{arxiv.1908.02653,
  title  = {Well-posedness study of a non-linear hyperbolic-parabolic coupled system applied to image speckle reduction},
  author = {Sudeb Majee and Rajendra K. Ray and Ananta K. Majee},
  journal= {arXiv preprint arXiv:1908.02653},
  year   = {2019}
}

Comments

12 pages, 12 figures, 1 table. arXiv admin note: text overlap with arXiv:1908.01147

R2 v1 2026-06-23T10:42:08.171Z