Pattern recognition: statistical, structural and neural approaches
Pattern recognition: statistical, structural and neural approaches
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th 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
Robust Parameter Estimation in Computer Vision
SIAM Review
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Digital Image Processing
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
A Review of Nonlinear Diffusion Filtering
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
Mesh Smoothing via Mean and Median Filtering Applied to Face Normals
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
The trilateral filter for high contrast images and meshes
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Geometric surface processing via normal maps
ACM Transactions on Graphics (TOG)
IEEE Transactions on Image Processing
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Random walks for mesh denoising
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A Sharpness-Dependent Filter for Recovering Sharp Features in Repaired 3D Mesh Models
IEEE Transactions on Visualization and Computer Graphics
Technical Section: A direction-oriented sharpness dependent filter for 3D polygon meshes
Computers and Graphics
High-fidelity geometric modeling for biomedical applications
Finite Elements in Analysis and Design
Random walks for feature-preserving mesh denoising
Computer Aided Geometric Design
Noise analysis and synthesis for 3D laser depth scanners
Graphical Models
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In this paper, we propose a sharpness dependent filter design based on the fairing of surface normal, whereby the filtering algorithm automatically selects a filter. This may be a mean-filter, a min-filter, or a filter ranked between these two, depending on the local sharpness value and the sharpness dependent weighting function selected. To recover the original shape of a noisy model, the algorithm selects a mean-filter for flat regions and a min-filter for distinguished sharp regions. The selected sharpness dependent weighting function has a Gaussian, Laplacian, or El Fallah Ford form that approximately fits the sharpness distribution found in all tested noisy models. We use a sharpness factor in the weighting function to control the degree of feature preserving. The appropriate sharpness factor can be obtained by sharpness analysis based on the Bayesian classification. Our experiment results demonstrate that the proposed sharpness dependent filter is superior to other approaches for smoothing a polygon mesh, as well as for preserving its sharp features.