Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
3D Triangle Mesh Smoothing via Adaptive MMSE Filtering
CIT '04 Proceedings of the The Fourth International Conference on Computer and Information Technology
Vertex-Based Diffusion for 3-D Mesh Denoising
IEEE Transactions on Image Processing
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In this paper, we present an improved Laplacian smoothing technique for 3D mesh denoising. This method filters directly the vertices by updating their positions. Laplacian smoothing process is simple to implement and fast, but it tends to produce shrinking and oversmoothing effects. To remedy this problem, firstly, we introduce a kernel function in the Laplacian expression. Then, we propose to use a linear combination of denoised instances. This combination aims to reduce the number of iterations of the desired method by coupling it with a technique that leads to oversmoothing. Experiments are conducted on synthetic triangular meshes corrupted by Gaussian noise. Results show that we outperform some existing methods in terms of objective and visual quality.