Nonlinear PDE Model for Image Restoration Using Second-Order Hyperbolic Equations |
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Authors: | Tudor Barbu |
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Institution: | 1. Institute of Computer Science of the Romanian Academy , Ia?i , Romania tudor.barbu@iit.academiaromana-is.ro |
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Abstract: | In this article we consider a novel nonlinear PDE-based image denoising technique. The proposed restoration model uses second-order hyperbolic diffusion equations. It represents an improved nonlinear version of a linear hyperbolic PDE model developed recently by the author, providing more effective noise removal results while preserving the edges and other image features. A rigorous mathematical investigation is performed on this new differential model and its well-posedness is treated. Next, a consistent finite-difference numerical approximation scheme is proposed for this nonlinear diffusion-based approach. Our successful image denoising experiments and method comparisons are also described. |
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Keywords: | Detail-preserving filtering Hyperbolic diffusion equation Image denoising and restoration Nonlinear PDE model Numerical discretization scheme Well-posedness investigation |
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