Mesh Denoising Using Filtering Coefficients Jointly Aware of Noise and Geometry

Mesh denoising is a fundamental task in geometry processing, and recent studies have demonstrated the remarkable superiority of deep learning-based methods in this field. However, existing works commonly rely on neural networks without explicit designs for noise and geometry which are actually fundamental factors in mesh denoising. In this paper, by jointly considering noise intensity and geometric characteristics, a novel Filtering Coefficient Learner (FCL for short) for mesh denoising is developed, which delicately generates coefficients to filter face normals. Specifically, FCL produces filtering coefficients consisting of a noise-aware component and a geometry-aware component. The first component is inversely proportional to the noise intensity of each face, resulting in smaller coefficients for faces with stronger noise. For the effective assessment of the noise intensity, a noise intensity estimation module is designed, which predicts the angle between paired noisy-clean normals based on a mean filtering angle. The second component is derived based on two types of geometric features, namely the category feature and face-wise features. The category feature provides a global description of the input patch, while the face-wise features complement the perception of local textures. Extensive experiments have validated the superior performance of FCL over SOTA works in both noise removal and feature preservation.