This paper introduces an effective mesh smoothing method for 3D noisy shapes via the adaptive MMSE (minimum mean squared error) filter. The adaptive MMSE filter is applied to modify the face normals of triangle meshes and then mesh vertex positions are reconstructed in order to satisfy the modified normals. We also compare quantitatively and visually the adaptive MMSE filter to 3D triangle meshes with the conventional and simple Laplacian smoothing and mean and median filtering schemes. The experiments demonstrate that the adaptive MMSE filter applied to triangle meshes with round shapes and low frequency noise outperforms the existing smoothing schemes mentioned above.
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