<p>The guided image filter is a widely used technique for smoothing images, and it can be applied to various low-level vision tasks. However, it suffers from issues such as luminance halos, detail halos, and corner round-up artifacts. Additionally, the original guided image filter often overlooks important thin structures due to the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11760_2025_4454_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> regularization in the linear ridge regression model. Existing adaptations of the guided image filter do not adequately address these artifacts. In this paper, we propose a novel scale-aware guided image filter, which effectively smooths out details/textures while preserving edges/structures. To overcome the luminance halos, we propose to incorporate the elastic net regression model for image smoothing, which inherits the advantages of both ridge and lasso regression. Furthermore, we propose a scale-adaptive weighting scheme to combine the regression coefficients, which significantly alleviates the detail halo and corner round-up artifacts. Despite various improvements, we show that the model can be solved with high efficiency. We have conducted experiments across various low-level vision applications, including image smoothing, compression artifact removal, HDR tone mapping, and texture removal. Both qualitative and quantitative results indicate the superiority of our proposed filter over state-of-the-art filters. Moreover, our filter is efficient and allows for real-time smoothing of 720P 3-channel color images.</p>

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Scale-adaptive Elastic Net Regression for Guided Image Filtering

  • Yang Yang,
  • Shuo Ye,
  • Wenyi Zheng,
  • Xinyu Wang,
  • Xinsheng Wang

摘要

The guided image filter is a widely used technique for smoothing images, and it can be applied to various low-level vision tasks. However, it suffers from issues such as luminance halos, detail halos, and corner round-up artifacts. Additionally, the original guided image filter often overlooks important thin structures due to the \(L_2\) L 2 regularization in the linear ridge regression model. Existing adaptations of the guided image filter do not adequately address these artifacts. In this paper, we propose a novel scale-aware guided image filter, which effectively smooths out details/textures while preserving edges/structures. To overcome the luminance halos, we propose to incorporate the elastic net regression model for image smoothing, which inherits the advantages of both ridge and lasso regression. Furthermore, we propose a scale-adaptive weighting scheme to combine the regression coefficients, which significantly alleviates the detail halo and corner round-up artifacts. Despite various improvements, we show that the model can be solved with high efficiency. We have conducted experiments across various low-level vision applications, including image smoothing, compression artifact removal, HDR tone mapping, and texture removal. Both qualitative and quantitative results indicate the superiority of our proposed filter over state-of-the-art filters. Moreover, our filter is efficient and allows for real-time smoothing of 720P 3-channel color images.