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    Area of Science:

    • Computer Graphics
    • Geometric Modeling
    • Image Processing

    Background:

    • Conventional 3D mesh filters face a trade-off between texture removal and structure preservation.
    • Existing methods often result in artifacts like remnant textures and distorted shapes due to fixed patch-based filtering.

    Purpose of the Study:

    • To develop a novel mesh filtering technique that simultaneously removes geometric textures and preserves geometric structures of 3D surfaces.
    • To introduce a specialized filter that overcomes the limitations of conventional approaches by avoiding the texture-vs-structure trade-off.

    Main Methods:

    • Proposed a selective guidance normal filter (SGNF) adapting the Relative Total Variation (RTV) to a maximal/minimal scheme (mmRTV).
    • The mmRTV quantifies patch flatness, enabling the selection of adaptive patches aligned with facets.
    • Utilized adaptive patches to derive selective guidance normals for filtering, distinguishing between texture removal (maximal RTV) and structure preservation (minimal RTV).

    Main Results:

    • The SGNF effectively smooths geometric textures while preserving essential geometric structures.
    • Experimental results demonstrate visual and numerical performance comparable to state-of-the-art mesh filters.
    • The mmRTV approach shows applicability beyond mesh filtering, including bas-relief modeling and image texture removal.

    Conclusions:

    • The SGNF offers a specialized solution for 3D surface processing, effectively balancing texture removal and structure preservation.
    • The proposed mmRTV scheme provides a robust and versatile method for enhancing geometric data and images.
    • This approach advances 3D surface filtering by providing a non-trade-off solution for detailed appearance and intrinsic properties.