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A spatially adaptive hybrid total variation model for image restoration under Gaussian plus impulse noise

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  • Li, Rong
  • Zheng, Bing

Abstract

In this paper, a spatially adaptive hybrid total variation model is proposed to recover blurred images corrupted by mixed Gaussian-impulse noise. The model consists of a combined L1/L2 data fidelity term and two regularization terms including total variation and high-order total variation. The spatially adaptive parameters with multiple windows are utilized by the model to adequately smooth homogeneous areas while preserving small features. A strategy for adaptively selecting the locally varying parameters together with a solver of the constituted optimisation problem are presented. Experimental results demonstrate the excellent performance of the new approach compared with current state-of-the-art methods with respect to digital indicators and visual quality.

Suggested Citation

  • Li, Rong & Zheng, Bing, 2022. "A spatially adaptive hybrid total variation model for image restoration under Gaussian plus impulse noise," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    • Handle: RePEc:eee:apmaco:v:419:y:2022:i:c:s0096300321009450
    DOI: 10.1016/j.amc.2021.126862
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