# On the Development of a Coupled Non-linear Telegraph-Diffusion Model for Image Restoration

Source: [On the Development of a Coupled Non-linear Telegraph-Diffusion Model for Image Restoration](<https://www.sota2.com/research/paper/68fa563a1e209131ce99ad05>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:01:49.872Z

Authors: Sudeb Majee, Subit K. Jain, Rajendra K. Ray, Ananta K. Majee

Published: 2019-08-30T10:48:21.000Z

## Abstract

In this work, we propose a telegraph coupled partial differential equation (TCPDE) based model for image restoration. New framework interpolates between a couple of non-linear telegraph equation and a parabolic equation. Proposed strategy can be applied to significantly preserve the oscillatory and texture pattern in an image, even in low signal-to-noise ratio. First, we prove that the present model has a unique global weak solution using Banach's fixed point theorem. Then apply our model over a set of gray-level images to illustrate the superiority of the proposed model over the recently developed hyperbolic-parabolic PDE based models as well as coupled diffusion-based model.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1908.11646>)

[PDF](<https://arxiv.org/pdf/1908.11646.pdf>)