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arXiv · 1908.11646

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

Sudeb Majee·Subit K. Jain·Rajendra K. Ray·Ananta K. Majee
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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.

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Sudeb Majee, Subit K. Jain, Rajendra K. Ray, Ananta K. Majee. 2019-08-30. On the Development of a Coupled Non-linear Telegraph-Diffusion Model for Image Restoration. https://arxiv.org/abs/1908.11646

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