Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
The approximation power of moving least-squares
Mathematics of Computation
A Solution-Based Triangular and Tetrahedral Mesh Quality Indicator
SIAM Journal on Scientific Computing
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Computational Geometry: Theory and Applications
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
A simple algorithm for surface denoising
Proceedings of the conference on Visualization '01
Updating and constructing constrained delaunay and constrained regular triangulations by flips
Proceedings of the nineteenth annual symposium on Computational geometry
Polyhedral Surface Smoothing with Simultaneous Mesh Regularization
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Random walks for feature-preserving mesh denoising
Computer Aided Geometric Design
A new feature-preserving mesh-smoothing algorithm
The Visual Computer: International Journal of Computer Graphics
Quality meshing of implicit solvation models of biomolecular structures
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Medial Axis Transformation of a Planar Shape
IEEE Transactions on Pattern Analysis and Machine Intelligence
2D FE quad mesh smoothing via angle-based optimization
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Fast and Effective Feature-Preserving Mesh Denoising
IEEE Transactions on Visualization and Computer Graphics
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The smoothness and angle quality of a surface mesh are two important indicators of the ''goodness'' of the mesh for downstream applications such as visualization and numerical simulation. We present in this paper a novel surface mesh processing method not only to reduce mesh noise but to improve angle quality as well. Our approach is based on the local surface fitting around each vertex using the least-square minimization technique. The new position of the vertex is obtained by finding the maximum inscribed circle (MIC) of the surrounding polygon and projecting the circle's center onto the analytically fitted surface. The procedure above repeats until the maximal vertex displacement is less than a pre-defined threshold. The mesh smoothness is improved by a combined idea of surface fitting and projection, while the angle quality is achieved by utilizing the MIC-based projection scheme. Results on a variety of geometric mesh models have demonstrated the effectiveness of our method.