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In this paper we consider \(2\times 2\) nonlinear cross-diffusion models for image restoration. Digital images are sampled on a pixel grid, so it is important to ascertain whether the outcomes obtained in a continuous framework carry over to the practical relevant fully-discrete setting. Here we explore fully-discrete filters which reveal similar features as their continuous cross-diffusion counterparts as scale-space invariance properties as well as the existence of Lyapunov functions.

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Scale-Space Properties for Discrete Cross-Diffusion Filtering

  • 会议论文

  • 发表日期：

    2025年

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  • Sílvia Barbeiro

摘要

In this paper we consider \(2\times 2\) nonlinear cross-diffusion models for image restoration. Digital images are sampled on a pixel grid, so it is important to ascertain whether the outcomes obtained in a continuous framework carry over to the practical relevant fully-discrete setting. Here we explore fully-discrete filters which reveal similar features as their continuous cross-diffusion counterparts as scale-space invariance properties as well as the existence of Lyapunov functions.