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Journal ArticleDOI

Tensor Voting Guided Mesh Denoising

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TLDR
This work votes on surface normal tensors from robust statistics to guide the creation of consistent subneighborhoods subsequently used by moving least squares (MLS) to give a unified mesh-denoising framework for not only handling noise but also enabling the recovering of surfaces with both sharp and small-scale features.
Abstract
Mesh denoising is imperative for improving imperfect surfaces acquired by scanning devices The main challenge is to faithfully retain geometric features and avoid introducing additional artifacts when removing noise Unlike the existing mesh denoising techniques that focus only on either the first-order features or high-order differential properties, our approach exploits the synergy when facet normals and quadric surfaces are integrated to recover a piecewise smooth surface In specific, we vote on surface normal tensors from robust statistics to guide the creation of consistent subneighborhoods subsequently used by moving least squares (MLS) This voting naturally leads to a conceptually simple way that gives a unified mesh-denoising framework for not only handling noise but also enabling the recovering of surfaces with both sharp and small-scale features The effectiveness of our framework stems from: 1) the multiscale tensor voting that avoids the influence from noise; 2) the effective energy minimization strategy to searching the consistent subneighborhoods; and 3) the piecewise MLS that fully prevents the side effects from different subneighborhoods during surface fitting Our framework is direct, practical, and easy to understand Comparisons with the state-of-the-art methods demonstrate its outstanding performance on feature preservation and artifact suppression

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Citations
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Journal ArticleDOI

Mesh Denoising Guided by Patch Normal Co-Filtering via Kernel Low-Rank Recovery

TL;DR: This work proposes a new patch normal co-filter (PcFilter) for mesh denoising, inspired by the geometry statistics which show that surface patches with similar intrinsic properties exist on the underlying surface of a noisy mesh, aiming at removing different levels of noise, yet preserving various surface features.
Journal ArticleDOI

Multi-Patch Collaborative Point Cloud Denoising via Low-Rank Recovery with Graph Constraint

TL;DR: A new multi-patch collaborative method for point cloud denoising, which is solved as a low-rank matrix recovery problem and outperforms state-of-the-art methods in both noise removal and feature preservation.
Journal ArticleDOI

Feature Preserving Mesh Denoising Based on Graph Spectral Processing

TL;DR: A novel coarse-to-fine graph spectral processing approach that exploits the fact that the sharp features reside in a low dimensional structure hidden in the noisy 3D dataset, in terms of reconstruction quality and computational complexity.
Posted Content

Robust and High Fidelity Mesh Denoising

TL;DR: Li et al. as discussed by the authors used Tukey's bi-weight function as similarity function in the bilateral weighting, which is a robust estimator and stops the diffusion at sharp edges to retain features and removes noise from flat regions effectively.
Journal ArticleDOI

Data-driven geometry-recovering mesh denoising

TL;DR: A novel two-step data-driven mesh denoising approach that competes favorably with the state-of-the-art methods in terms of mesh geometry preservation and noise-robustness.
References
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Proceedings ArticleDOI

Bilateral filtering for gray and color images

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Proceedings ArticleDOI

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Discrete Differential-Geometry Operators for Triangulated 2-Manifolds

TL;DR: A unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes, using averaging Voronoi cells and the mixed Finite-Element/Finite-Volume method is proposed.
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